%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN512+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 13:53:50 EDT 2022 % Result : Theorem 0.75s 0.97s % Output : Proof 0.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN512+1 : TPTP v8.1.0. Released v2.1.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jul 11 11:53:02 EDT 2022 % 0.13/0.35 % CPUTime : % 0.75/0.97 (* PROOF-FOUND *) % 0.75/0.97 % SZS status Theorem % 0.75/0.97 (* BEGIN-PROOF *) % 0.75/0.97 % SZS output start Proof % 0.75/0.97 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a828))/\((c2_1 (a828))/\(~(c0_1 (a828)))))))/\(((~(hskp1))\/((ndr1_0)/\((~(c0_1 (a829)))/\((~(c1_1 (a829)))/\(~(c3_1 (a829)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a830))/\((~(c1_1 (a830)))/\(~(c2_1 (a830)))))))/\(((~(hskp3))\/((ndr1_0)/\((c2_1 (a831))/\((c3_1 (a831))/\(~(c1_1 (a831)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c1_1 (a832)))/\((~(c2_1 (a832)))/\(~(c3_1 (a832)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a865))/\((~(c0_1 (a865)))/\(~(c1_1 (a865)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a901))/\((~(c2_1 (a901)))/\(~(c3_1 (a901)))))))/\(((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))))/\(((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((hskp28)\/(hskp1)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp9)\/(hskp0)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp10)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp11)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp21)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1)))/\(((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp26)\/(hskp20)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp0)\/(hskp3)))/\(((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((hskp19)\/(hskp0)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/((hskp22)\/(hskp4)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp8)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25)))/\(((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1)))/\(((hskp28)\/(hskp10))/\(((hskp9)\/((hskp22)\/(hskp6)))/\(((hskp9)\/((hskp14)\/(hskp4)))/\(((hskp31)\/((hskp8)\/(hskp16)))/\(((hskp7)\/((hskp10)\/(hskp21)))/\(((hskp7)\/(hskp21))/\(((hskp19)\/((hskp30)\/(hskp23)))/\(((hskp2)\/((hskp17)\/(hskp16)))/\(((hskp0)\/((hskp11)\/(hskp1)))/\((hskp14)\/(hskp21))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.75/0.97 Proof. % 0.75/0.97 assert (zenon_L1_ : (~(hskp9)) -> (hskp9) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1 zenon_H2. % 0.75/0.97 exact (zenon_H1 zenon_H2). % 0.75/0.97 (* end of lemma zenon_L1_ *) % 0.75/0.97 assert (zenon_L2_ : (~(hskp14)) -> (hskp14) -> False). % 0.75/0.97 do 0 intro. intros zenon_H3 zenon_H4. % 0.75/0.97 exact (zenon_H3 zenon_H4). % 0.75/0.97 (* end of lemma zenon_L2_ *) % 0.75/0.97 assert (zenon_L3_ : (~(hskp4)) -> (hskp4) -> False). % 0.75/0.97 do 0 intro. intros zenon_H5 zenon_H6. % 0.75/0.97 exact (zenon_H5 zenon_H6). % 0.75/0.97 (* end of lemma zenon_L3_ *) % 0.75/0.97 assert (zenon_L4_ : ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp9)) -> (~(hskp14)) -> (~(hskp4)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.75/0.97 exact (zenon_H1 zenon_H2). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.75/0.97 exact (zenon_H3 zenon_H4). % 0.75/0.97 exact (zenon_H5 zenon_H6). % 0.75/0.97 (* end of lemma zenon_L4_ *) % 0.75/0.97 assert (zenon_L5_ : (~(hskp28)) -> (hskp28) -> False). % 0.75/0.97 do 0 intro. intros zenon_H9 zenon_Ha. % 0.75/0.97 exact (zenon_H9 zenon_Ha). % 0.75/0.97 (* end of lemma zenon_L5_ *) % 0.75/0.97 assert (zenon_L6_ : (~(hskp10)) -> (hskp10) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hb zenon_Hc. % 0.75/0.97 exact (zenon_Hb zenon_Hc). % 0.75/0.97 (* end of lemma zenon_L6_ *) % 0.75/0.97 assert (zenon_L7_ : ((hskp28)\/(hskp10)) -> (~(hskp10)) -> (~(hskp28)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hd zenon_Hb zenon_H9. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_Hc ]. % 0.75/0.97 exact (zenon_H9 zenon_Ha). % 0.75/0.97 exact (zenon_Hb zenon_Hc). % 0.75/0.97 (* end of lemma zenon_L7_ *) % 0.75/0.97 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.75/0.97 do 0 intro. intros zenon_He zenon_Hf. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 (* end of lemma zenon_L8_ *) % 0.75/0.97 assert (zenon_L9_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a839)) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13. % 0.75/0.97 generalize (zenon_H10 (a839)). zenon_intro zenon_H14. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_He | zenon_intro zenon_H15 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.75/0.97 exact (zenon_H17 zenon_H11). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.75/0.97 exact (zenon_H19 zenon_H12). % 0.75/0.97 exact (zenon_H18 zenon_H13). % 0.75/0.97 (* end of lemma zenon_L9_ *) % 0.75/0.97 assert (zenon_L10_ : (~(hskp25)) -> (hskp25) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1a zenon_H1b. % 0.75/0.97 exact (zenon_H1a zenon_H1b). % 0.75/0.97 (* end of lemma zenon_L10_ *) % 0.75/0.97 assert (zenon_L11_ : (~(hskp1)) -> (hskp1) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1c zenon_H1d. % 0.75/0.97 exact (zenon_H1c zenon_H1d). % 0.75/0.97 (* end of lemma zenon_L11_ *) % 0.75/0.97 assert (zenon_L12_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp25)) -> (~(hskp1)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1e zenon_H1f zenon_H1a zenon_H1c. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H10 | zenon_intro zenon_H22 ]. % 0.75/0.97 apply (zenon_L9_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d ]. % 0.75/0.97 exact (zenon_H1a zenon_H1b). % 0.75/0.97 exact (zenon_H1c zenon_H1d). % 0.75/0.97 (* end of lemma zenon_L12_ *) % 0.75/0.97 assert (zenon_L13_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (~(hskp10)) -> ((hskp28)\/(hskp10)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H23 zenon_H1f zenon_H1c zenon_H1a zenon_Hb zenon_Hd. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.97 apply (zenon_L7_); trivial. % 0.75/0.97 apply (zenon_L12_); trivial. % 0.75/0.97 (* end of lemma zenon_L13_ *) % 0.75/0.97 assert (zenon_L14_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a890))) -> (~(c3_1 (a890))) -> (c2_1 (a890)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H24 zenon_Hf zenon_H25 zenon_H26 zenon_H27. % 0.75/0.97 generalize (zenon_H24 (a890)). zenon_intro zenon_H28. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_He | zenon_intro zenon_H29 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.75/0.97 exact (zenon_H25 zenon_H2b). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.75/0.97 exact (zenon_H26 zenon_H2d). % 0.75/0.97 exact (zenon_H2c zenon_H27). % 0.75/0.97 (* end of lemma zenon_L14_ *) % 0.75/0.97 assert (zenon_L15_ : (~(hskp11)) -> (hskp11) -> False). % 0.75/0.97 do 0 intro. intros zenon_H2e zenon_H2f. % 0.75/0.97 exact (zenon_H2e zenon_H2f). % 0.75/0.97 (* end of lemma zenon_L15_ *) % 0.75/0.97 assert (zenon_L16_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(hskp11)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1e zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H2e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.75/0.97 apply (zenon_L14_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.75/0.97 apply (zenon_L9_); trivial. % 0.75/0.97 exact (zenon_H2e zenon_H2f). % 0.75/0.97 (* end of lemma zenon_L16_ *) % 0.75/0.97 assert (zenon_L17_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp28)\/(hskp10)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H32 zenon_H30 zenon_H2e zenon_Hd zenon_Hb zenon_H1c zenon_H1f zenon_H23. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.97 apply (zenon_L13_); trivial. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.97 apply (zenon_L7_); trivial. % 0.75/0.97 apply (zenon_L16_); trivial. % 0.75/0.97 (* end of lemma zenon_L17_ *) % 0.75/0.97 assert (zenon_L18_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H36 zenon_Hf zenon_H37 zenon_H38 zenon_H39. % 0.75/0.97 generalize (zenon_H36 (a844)). zenon_intro zenon_H3a. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_He | zenon_intro zenon_H3b ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.75/0.97 exact (zenon_H37 zenon_H3d). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.75/0.97 exact (zenon_H38 zenon_H3f). % 0.75/0.97 exact (zenon_H3e zenon_H39). % 0.75/0.97 (* end of lemma zenon_L18_ *) % 0.75/0.97 assert (zenon_L19_ : (~(hskp3)) -> (hskp3) -> False). % 0.75/0.97 do 0 intro. intros zenon_H40 zenon_H41. % 0.75/0.97 exact (zenon_H40 zenon_H41). % 0.75/0.97 (* end of lemma zenon_L19_ *) % 0.75/0.97 assert (zenon_L20_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H23 zenon_H1f zenon_H1c zenon_H1a zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H40 zenon_H42. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H36 | zenon_intro zenon_H43 ]. % 0.75/0.97 apply (zenon_L18_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_Ha | zenon_intro zenon_H41 ]. % 0.75/0.97 exact (zenon_H9 zenon_Ha). % 0.75/0.97 exact (zenon_H40 zenon_H41). % 0.75/0.97 apply (zenon_L12_); trivial. % 0.75/0.97 (* end of lemma zenon_L20_ *) % 0.75/0.97 assert (zenon_L21_ : (~(hskp19)) -> (hskp19) -> False). % 0.75/0.97 do 0 intro. intros zenon_H44 zenon_H45. % 0.75/0.97 exact (zenon_H44 zenon_H45). % 0.75/0.97 (* end of lemma zenon_L21_ *) % 0.75/0.97 assert (zenon_L22_ : (~(hskp20)) -> (hskp20) -> False). % 0.75/0.97 do 0 intro. intros zenon_H46 zenon_H47. % 0.75/0.97 exact (zenon_H46 zenon_H47). % 0.75/0.97 (* end of lemma zenon_L22_ *) % 0.75/0.97 assert (zenon_L23_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H33 zenon_H48 zenon_H44 zenon_H46. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H24 | zenon_intro zenon_H49 ]. % 0.75/0.97 apply (zenon_L14_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H45 | zenon_intro zenon_H47 ]. % 0.75/0.97 exact (zenon_H44 zenon_H45). % 0.75/0.97 exact (zenon_H46 zenon_H47). % 0.75/0.97 (* end of lemma zenon_L23_ *) % 0.75/0.97 assert (zenon_L24_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a864))) -> (~(c2_1 (a864))) -> (c1_1 (a864)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H4a zenon_Hf zenon_H4b zenon_H4c zenon_H4d. % 0.75/0.97 generalize (zenon_H4a (a864)). zenon_intro zenon_H4e. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_He | zenon_intro zenon_H4f ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.75/0.97 exact (zenon_H4b zenon_H51). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.75/0.97 exact (zenon_H4c zenon_H53). % 0.75/0.97 exact (zenon_H52 zenon_H4d). % 0.75/0.97 (* end of lemma zenon_L24_ *) % 0.75/0.97 assert (zenon_L25_ : (~(hskp29)) -> (hskp29) -> False). % 0.75/0.97 do 0 intro. intros zenon_H54 zenon_H55. % 0.75/0.97 exact (zenon_H54 zenon_H55). % 0.75/0.97 (* end of lemma zenon_L25_ *) % 0.75/0.97 assert (zenon_L26_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (c1_1 (a864)) -> (~(c2_1 (a864))) -> (~(c0_1 (a864))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp3)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H56 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H54 zenon_H40. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4a | zenon_intro zenon_H57 ]. % 0.75/0.97 apply (zenon_L24_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H41 ]. % 0.75/0.97 exact (zenon_H54 zenon_H55). % 0.75/0.97 exact (zenon_H40 zenon_H41). % 0.75/0.97 (* end of lemma zenon_L26_ *) % 0.75/0.97 assert (zenon_L27_ : (forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84)))))) -> (ndr1_0) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H58 zenon_Hf zenon_H59 zenon_H5a zenon_H5b. % 0.75/0.97 generalize (zenon_H58 (a851)). zenon_intro zenon_H5c. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_He | zenon_intro zenon_H5d ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.75/0.97 exact (zenon_H59 zenon_H5f). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.75/0.97 exact (zenon_H61 zenon_H5a). % 0.75/0.97 exact (zenon_H60 zenon_H5b). % 0.75/0.97 (* end of lemma zenon_L27_ *) % 0.75/0.97 assert (zenon_L28_ : (~(hskp17)) -> (hskp17) -> False). % 0.75/0.97 do 0 intro. intros zenon_H62 zenon_H63. % 0.75/0.97 exact (zenon_H62 zenon_H63). % 0.75/0.97 (* end of lemma zenon_L28_ *) % 0.75/0.97 assert (zenon_L29_ : ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a864)) -> (~(c0_1 (a864))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a864))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H64 zenon_H4d zenon_H4b zenon_H65 zenon_H4c zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H62. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.75/0.97 generalize (zenon_H67 (a864)). zenon_intro zenon_H68. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_He | zenon_intro zenon_H69 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H53 | zenon_intro zenon_H6a ]. % 0.75/0.97 exact (zenon_H4c zenon_H53). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6b | zenon_intro zenon_H52 ]. % 0.75/0.97 generalize (zenon_H65 (a864)). zenon_intro zenon_H6c. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_He | zenon_intro zenon_H6d ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H51 | zenon_intro zenon_H6e ]. % 0.75/0.97 exact (zenon_H4b zenon_H51). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H53 | zenon_intro zenon_H6f ]. % 0.75/0.97 exact (zenon_H4c zenon_H53). % 0.75/0.97 exact (zenon_H6f zenon_H6b). % 0.75/0.97 exact (zenon_H52 zenon_H4d). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H58 | zenon_intro zenon_H63 ]. % 0.75/0.97 apply (zenon_L27_); trivial. % 0.75/0.97 exact (zenon_H62 zenon_H63). % 0.75/0.97 (* end of lemma zenon_L29_ *) % 0.75/0.97 assert (zenon_L30_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a849)) -> (c1_1 (a849)) -> (c2_1 (a849)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H70 zenon_Hf zenon_H71 zenon_H72 zenon_H73. % 0.75/0.97 generalize (zenon_H70 (a849)). zenon_intro zenon_H74. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_He | zenon_intro zenon_H75 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.75/0.97 exact (zenon_H77 zenon_H71). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.75/0.97 exact (zenon_H79 zenon_H72). % 0.75/0.97 exact (zenon_H78 zenon_H73). % 0.75/0.97 (* end of lemma zenon_L30_ *) % 0.75/0.97 assert (zenon_L31_ : (~(hskp2)) -> (hskp2) -> False). % 0.75/0.97 do 0 intro. intros zenon_H7a zenon_H7b. % 0.75/0.97 exact (zenon_H7a zenon_H7b). % 0.75/0.97 (* end of lemma zenon_L31_ *) % 0.75/0.97 assert (zenon_L32_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp17)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c2_1 (a864))) -> (~(c0_1 (a864))) -> (c1_1 (a864)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp2)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H7c zenon_H7d zenon_H62 zenon_H59 zenon_H5a zenon_H5b zenon_H4c zenon_H4b zenon_H4d zenon_H64 zenon_H7a. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.75/0.97 apply (zenon_L29_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.75/0.97 apply (zenon_L30_); trivial. % 0.75/0.97 exact (zenon_H7a zenon_H7b). % 0.75/0.97 (* end of lemma zenon_L32_ *) % 0.75/0.97 assert (zenon_L33_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H81 zenon_H82 zenon_H7d zenon_H7a zenon_H59 zenon_H5a zenon_H5b zenon_H62 zenon_H64 zenon_H40 zenon_H56. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.97 apply (zenon_L26_); trivial. % 0.75/0.97 apply (zenon_L32_); trivial. % 0.75/0.97 (* end of lemma zenon_L33_ *) % 0.75/0.97 assert (zenon_L34_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H85 zenon_H82 zenon_H7d zenon_H7a zenon_H59 zenon_H5a zenon_H5b zenon_H62 zenon_H64 zenon_H56 zenon_H23 zenon_H1f zenon_H1c zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H40 zenon_H42 zenon_H44 zenon_H48 zenon_H32. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.97 apply (zenon_L20_); trivial. % 0.75/0.97 apply (zenon_L23_); trivial. % 0.75/0.97 apply (zenon_L33_); trivial. % 0.75/0.97 (* end of lemma zenon_L34_ *) % 0.75/0.97 assert (zenon_L35_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H86 zenon_Hf zenon_H87 zenon_H88 zenon_H89 zenon_H8a. % 0.75/0.97 generalize (zenon_H86 (a863)). zenon_intro zenon_H8b. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H8b); [ zenon_intro zenon_He | zenon_intro zenon_H8c ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 0.75/0.97 generalize (zenon_H87 (a863)). zenon_intro zenon_H8f. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_He | zenon_intro zenon_H90 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.75/0.97 exact (zenon_H88 zenon_H92). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 0.75/0.97 exact (zenon_H94 zenon_H8e). % 0.75/0.97 exact (zenon_H93 zenon_H89). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ]. % 0.75/0.97 exact (zenon_H88 zenon_H92). % 0.75/0.97 exact (zenon_H95 zenon_H8a). % 0.75/0.97 (* end of lemma zenon_L35_ *) % 0.75/0.97 assert (zenon_L36_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7)))))) -> (~(hskp17)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H8a zenon_H89 zenon_H88 zenon_Hf zenon_H86 zenon_H62. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H36 | zenon_intro zenon_H97 ]. % 0.75/0.97 apply (zenon_L18_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H87 | zenon_intro zenon_H63 ]. % 0.75/0.97 apply (zenon_L35_); trivial. % 0.75/0.97 exact (zenon_H62 zenon_H63). % 0.75/0.97 (* end of lemma zenon_L36_ *) % 0.75/0.97 assert (zenon_L37_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H98 zenon_Hf zenon_H88 zenon_H8a zenon_H89. % 0.75/0.97 generalize (zenon_H98 (a863)). zenon_intro zenon_H99. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_He | zenon_intro zenon_H9a ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H92 | zenon_intro zenon_H9b ]. % 0.75/0.97 exact (zenon_H88 zenon_H92). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H95 | zenon_intro zenon_H93 ]. % 0.75/0.97 exact (zenon_H95 zenon_H8a). % 0.75/0.97 exact (zenon_H93 zenon_H89). % 0.75/0.97 (* end of lemma zenon_L37_ *) % 0.75/0.97 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp17)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(hskp3)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H9c zenon_H9d zenon_H62 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H40. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.75/0.97 apply (zenon_L36_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.75/0.97 apply (zenon_L37_); trivial. % 0.75/0.97 exact (zenon_H40 zenon_H41). % 0.75/0.97 (* end of lemma zenon_L38_ *) % 0.75/0.97 assert (zenon_L39_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Ha1 zenon_Hf zenon_Ha2 zenon_Ha3 zenon_Ha4. % 0.75/0.97 generalize (zenon_Ha1 (a859)). zenon_intro zenon_Ha5. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_He | zenon_intro zenon_Ha6 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.75/0.97 exact (zenon_Ha2 zenon_Ha8). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.75/0.97 exact (zenon_Ha3 zenon_Haa). % 0.75/0.97 exact (zenon_Ha9 zenon_Ha4). % 0.75/0.97 (* end of lemma zenon_L39_ *) % 0.75/0.97 assert (zenon_L40_ : (~(hskp13)) -> (hskp13) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hab zenon_Hac. % 0.75/0.97 exact (zenon_Hab zenon_Hac). % 0.75/0.97 (* end of lemma zenon_L40_ *) % 0.75/0.97 assert (zenon_L41_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp13)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Had zenon_Hae zenon_H39 zenon_H38 zenon_H37 zenon_Hab. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H36 | zenon_intro zenon_Hb1 ]. % 0.75/0.97 apply (zenon_L18_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hac ]. % 0.75/0.97 apply (zenon_L39_); trivial. % 0.75/0.97 exact (zenon_Hab zenon_Hac). % 0.75/0.97 (* end of lemma zenon_L41_ *) % 0.75/0.97 assert (zenon_L42_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H65 zenon_Hf zenon_Hb2 zenon_H38 zenon_H39. % 0.75/0.97 generalize (zenon_H65 (a844)). zenon_intro zenon_Hb3. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hb3); [ zenon_intro zenon_He | zenon_intro zenon_Hb4 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H3c ]. % 0.75/0.97 exact (zenon_Hb2 zenon_Hb5). % 0.75/0.97 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.75/0.97 exact (zenon_H38 zenon_H3f). % 0.75/0.97 exact (zenon_H3e zenon_H39). % 0.75/0.97 (* end of lemma zenon_L42_ *) % 0.75/0.97 assert (zenon_L43_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (c3_1 (a844)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H98 zenon_Hf zenon_H38 zenon_H65 zenon_H39. % 0.75/0.97 generalize (zenon_H98 (a844)). zenon_intro zenon_Hb6. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_He | zenon_intro zenon_Hb7 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hb8 ]. % 0.75/0.97 exact (zenon_H38 zenon_H3f). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H3e ]. % 0.75/0.97 apply (zenon_L42_); trivial. % 0.75/0.97 exact (zenon_H3e zenon_H39). % 0.75/0.97 (* end of lemma zenon_L43_ *) % 0.75/0.97 assert (zenon_L44_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a844)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (c0_1 (a839)) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hb9 zenon_H39 zenon_H65 zenon_H38 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1a. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H98 | zenon_intro zenon_Hba ]. % 0.75/0.97 apply (zenon_L43_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H10 | zenon_intro zenon_H1b ]. % 0.75/0.97 apply (zenon_L9_); trivial. % 0.75/0.97 exact (zenon_H1a zenon_H1b). % 0.75/0.97 (* end of lemma zenon_L44_ *) % 0.75/0.97 assert (zenon_L45_ : (forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30)))))) -> (ndr1_0) -> (~(c3_1 (a851))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hbb zenon_Hf zenon_H59 zenon_H24 zenon_H5b zenon_H5a. % 0.75/0.97 generalize (zenon_Hbb (a851)). zenon_intro zenon_Hbc. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_He | zenon_intro zenon_Hbd ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H5f | zenon_intro zenon_Hbe ]. % 0.75/0.97 exact (zenon_H59 zenon_H5f). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hbf | zenon_intro zenon_H61 ]. % 0.75/0.97 generalize (zenon_H24 (a851)). zenon_intro zenon_Hc0. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_He | zenon_intro zenon_Hc1 ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 0.75/0.97 exact (zenon_Hbf zenon_Hc3). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H5f | zenon_intro zenon_H60 ]. % 0.75/0.97 exact (zenon_H59 zenon_H5f). % 0.75/0.97 exact (zenon_H60 zenon_H5b). % 0.75/0.97 exact (zenon_H61 zenon_H5a). % 0.75/0.97 (* end of lemma zenon_L45_ *) % 0.75/0.97 assert (zenon_L46_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp25)) -> (c0_1 (a839)) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c3_1 (a851))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp29)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hc4 zenon_H1a zenon_H11 zenon_H12 zenon_H13 zenon_H38 zenon_H39 zenon_Hb9 zenon_H46 zenon_H44 zenon_Hf zenon_H59 zenon_H5b zenon_H5a zenon_H48 zenon_H54. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.75/0.97 apply (zenon_L44_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H24 | zenon_intro zenon_H49 ]. % 0.75/0.97 apply (zenon_L45_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H45 | zenon_intro zenon_H47 ]. % 0.75/0.97 exact (zenon_H44 zenon_H45). % 0.75/0.97 exact (zenon_H46 zenon_H47). % 0.75/0.97 exact (zenon_H54 zenon_H55). % 0.75/0.97 (* end of lemma zenon_L46_ *) % 0.75/0.97 assert (zenon_L47_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H65 zenon_Hf zenon_Hc6 zenon_Hc7 zenon_Hc8. % 0.75/0.97 generalize (zenon_H65 (a846)). zenon_intro zenon_Hc9. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_He | zenon_intro zenon_Hca ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.75/0.97 exact (zenon_Hc6 zenon_Hcc). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.75/0.97 exact (zenon_Hc7 zenon_Hce). % 0.75/0.97 exact (zenon_Hcd zenon_Hc8). % 0.75/0.97 (* end of lemma zenon_L47_ *) % 0.75/0.97 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp2)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H7c zenon_H7d zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H7a. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.75/0.97 apply (zenon_L47_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.75/0.97 apply (zenon_L30_); trivial. % 0.75/0.97 exact (zenon_H7a zenon_H7b). % 0.75/0.97 (* end of lemma zenon_L48_ *) % 0.75/0.97 assert (zenon_L49_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H81 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.97 apply (zenon_L26_); trivial. % 0.75/0.97 apply (zenon_L48_); trivial. % 0.75/0.97 (* end of lemma zenon_L49_ *) % 0.75/0.97 assert (zenon_L50_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp10)) -> ((hskp28)\/(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H85 zenon_H40 zenon_H56 zenon_H23 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hb9 zenon_H39 zenon_H38 zenon_H48 zenon_H44 zenon_H5a zenon_H5b zenon_H59 zenon_Hc4 zenon_Hb zenon_Hd zenon_H32. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.97 apply (zenon_L7_); trivial. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.97 apply (zenon_L46_); trivial. % 0.75/0.97 apply (zenon_L48_); trivial. % 0.75/0.97 apply (zenon_L23_); trivial. % 0.75/0.97 apply (zenon_L49_); trivial. % 0.75/0.97 (* end of lemma zenon_L50_ *) % 0.75/0.97 assert (zenon_L51_ : (~(hskp30)) -> (hskp30) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hcf zenon_Hd0. % 0.75/0.97 exact (zenon_Hcf zenon_Hd0). % 0.75/0.97 (* end of lemma zenon_L51_ *) % 0.75/0.97 assert (zenon_L52_ : (~(hskp16)) -> (hskp16) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hd1 zenon_Hd2. % 0.75/0.97 exact (zenon_Hd1 zenon_Hd2). % 0.75/0.97 (* end of lemma zenon_L52_ *) % 0.75/0.97 assert (zenon_L53_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp16)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hd3 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hf zenon_Hcf zenon_Hd1. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H65 | zenon_intro zenon_Hd4 ]. % 0.75/0.97 apply (zenon_L47_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ]. % 0.75/0.97 exact (zenon_Hcf zenon_Hd0). % 0.75/0.97 exact (zenon_Hd1 zenon_Hd2). % 0.75/0.97 (* end of lemma zenon_L53_ *) % 0.75/0.97 assert (zenon_L54_ : (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (c1_1 (a857)) -> (c2_1 (a857)) -> (c3_1 (a857)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hd5 zenon_Hf zenon_Hd6 zenon_Hd7 zenon_Hd8. % 0.75/0.97 generalize (zenon_Hd5 (a857)). zenon_intro zenon_Hd9. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_He | zenon_intro zenon_Hda ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.75/0.97 exact (zenon_Hdc zenon_Hd6). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.75/0.97 exact (zenon_Hde zenon_Hd7). % 0.75/0.97 exact (zenon_Hdd zenon_Hd8). % 0.75/0.97 (* end of lemma zenon_L54_ *) % 0.75/0.97 assert (zenon_L55_ : (~(hskp18)) -> (hskp18) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hdf zenon_He0. % 0.75/0.97 exact (zenon_Hdf zenon_He0). % 0.75/0.97 (* end of lemma zenon_L55_ *) % 0.75/0.97 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (~(hskp18)) -> False). % 0.75/0.97 do 0 intro. intros zenon_He1 zenon_He2 zenon_H89 zenon_H8a zenon_H88 zenon_Hdf. % 0.75/0.97 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.75/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.75/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.75/0.97 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.75/0.97 apply (zenon_L37_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.75/0.97 apply (zenon_L54_); trivial. % 0.75/0.97 exact (zenon_Hdf zenon_He0). % 0.75/0.97 (* end of lemma zenon_L56_ *) % 0.75/0.97 assert (zenon_L57_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H9c zenon_He6 zenon_He2 zenon_Hdf zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.75/0.97 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.75/0.97 apply (zenon_L53_); trivial. % 0.75/0.97 apply (zenon_L56_); trivial. % 0.75/0.97 (* end of lemma zenon_L57_ *) % 0.75/0.97 assert (zenon_L58_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> False). % 0.75/0.97 do 0 intro. intros zenon_He7 zenon_Hf zenon_He8 zenon_He9 zenon_Hea. % 0.75/0.97 generalize (zenon_He7 (a861)). zenon_intro zenon_Heb. % 0.75/0.97 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_He | zenon_intro zenon_Hec ]. % 0.75/0.97 exact (zenon_He zenon_Hf). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.75/0.97 exact (zenon_He8 zenon_Hee). % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ]. % 0.75/0.97 exact (zenon_Hf0 zenon_He9). % 0.75/0.97 exact (zenon_Hef zenon_Hea). % 0.75/0.97 (* end of lemma zenon_L58_ *) % 0.75/0.97 assert (zenon_L59_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H9. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.75/0.97 apply (zenon_L58_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.75/0.97 apply (zenon_L27_); trivial. % 0.75/0.97 exact (zenon_H9 zenon_Ha). % 0.75/0.97 (* end of lemma zenon_L59_ *) % 0.75/0.97 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp25)) -> (c0_1 (a839)) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> False). % 0.75/0.97 do 0 intro. intros zenon_H7c zenon_H7d zenon_H1a zenon_H11 zenon_H12 zenon_H13 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.75/0.97 apply (zenon_L44_); trivial. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.75/0.97 apply (zenon_L30_); trivial. % 0.75/0.97 exact (zenon_H7a zenon_H7b). % 0.75/0.97 (* end of lemma zenon_L60_ *) % 0.75/0.97 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H1e zenon_H82 zenon_H7d zenon_H7a zenon_Hb9 zenon_H1a zenon_H39 zenon_H38 zenon_H48 zenon_H46 zenon_H44 zenon_H5a zenon_H5b zenon_H59 zenon_Hc4. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.75/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.97 apply (zenon_L46_); trivial. % 0.75/0.97 apply (zenon_L60_); trivial. % 0.75/0.97 (* end of lemma zenon_L61_ *) % 0.75/0.97 assert (zenon_L62_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.97 do 0 intro. intros zenon_H85 zenon_H62 zenon_H64 zenon_H40 zenon_H56 zenon_H23 zenon_H82 zenon_H7d zenon_H7a zenon_Hb9 zenon_H39 zenon_H38 zenon_H48 zenon_H44 zenon_Hc4 zenon_Hf zenon_He8 zenon_He9 zenon_Hea zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H32. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.97 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.97 apply (zenon_L59_); trivial. % 0.75/0.97 apply (zenon_L61_); trivial. % 0.75/0.97 apply (zenon_L23_); trivial. % 0.75/0.97 apply (zenon_L33_); trivial. % 0.75/0.97 (* end of lemma zenon_L62_ *) % 0.75/0.97 assert (zenon_L63_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a844))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H9d zenon_H37 zenon_H96 zenon_H32 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H48 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_H56 zenon_H40 zenon_H64 zenon_H62 zenon_H85. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.75/0.97 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.75/0.97 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.75/0.97 apply (zenon_L62_); trivial. % 0.75/0.97 apply (zenon_L38_); trivial. % 0.75/0.97 (* end of lemma zenon_L63_ *) % 0.75/0.97 assert (zenon_L64_ : (~(hskp24)) -> (hskp24) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hf7 zenon_Hf8. % 0.75/0.97 exact (zenon_Hf7 zenon_Hf8). % 0.75/0.97 (* end of lemma zenon_L64_ *) % 0.75/0.97 assert (zenon_L65_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.75/0.97 do 0 intro. intros zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hf zenon_Hf7. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H36 | zenon_intro zenon_Hfa ]. % 0.75/0.98 apply (zenon_L18_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hf8 ]. % 0.75/0.98 apply (zenon_L39_); trivial. % 0.75/0.98 exact (zenon_Hf7 zenon_Hf8). % 0.75/0.98 (* end of lemma zenon_L65_ *) % 0.75/0.98 assert (zenon_L66_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28)))))) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H4a zenon_Hf zenon_Hfb zenon_Hfc zenon_Hfd. % 0.75/0.98 generalize (zenon_H4a (a884)). zenon_intro zenon_Hfe. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_He | zenon_intro zenon_Hff ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 0.75/0.98 generalize (zenon_Hfb (a884)). zenon_intro zenon_H102. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_He | zenon_intro zenon_H103 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.75/0.98 exact (zenon_Hfc zenon_H105). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.75/0.98 exact (zenon_H107 zenon_H101). % 0.75/0.98 exact (zenon_H106 zenon_Hfd). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H105 | zenon_intro zenon_H106 ]. % 0.75/0.98 exact (zenon_Hfc zenon_H105). % 0.75/0.98 exact (zenon_H106 zenon_Hfd). % 0.75/0.98 (* end of lemma zenon_L66_ *) % 0.75/0.98 assert (zenon_L67_ : (~(hskp15)) -> (hskp15) -> False). % 0.75/0.98 do 0 intro. intros zenon_H108 zenon_H109. % 0.75/0.98 exact (zenon_H108 zenon_H109). % 0.75/0.98 (* end of lemma zenon_L67_ *) % 0.75/0.98 assert (zenon_L68_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (c1_1 (a884)) -> (~(c2_1 (a884))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp15)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H10a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hfd zenon_Hfc zenon_Hf zenon_H4a zenon_H108. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.75/0.98 apply (zenon_L47_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.75/0.98 apply (zenon_L66_); trivial. % 0.75/0.98 exact (zenon_H108 zenon_H109). % 0.75/0.98 (* end of lemma zenon_L68_ *) % 0.75/0.98 assert (zenon_L69_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp29)) -> (~(hskp3)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H56 zenon_H108 zenon_Hf zenon_Hfc zenon_Hfd zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H10a zenon_H54 zenon_H40. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4a | zenon_intro zenon_H57 ]. % 0.75/0.98 apply (zenon_L68_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H41 ]. % 0.75/0.98 exact (zenon_H54 zenon_H55). % 0.75/0.98 exact (zenon_H40 zenon_H41). % 0.75/0.98 (* end of lemma zenon_L69_ *) % 0.75/0.98 assert (zenon_L70_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H10c zenon_H82 zenon_H7d zenon_H7a zenon_H10a zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.98 apply (zenon_L69_); trivial. % 0.75/0.98 apply (zenon_L48_); trivial. % 0.75/0.98 (* end of lemma zenon_L70_ *) % 0.75/0.98 assert (zenon_L71_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> False). % 0.75/0.98 do 0 intro. intros zenon_Had zenon_H110 zenon_H82 zenon_H7d zenon_H7a zenon_H10a zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56 zenon_H37 zenon_H38 zenon_H39 zenon_Hf9. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.75/0.98 apply (zenon_L65_); trivial. % 0.75/0.98 apply (zenon_L70_); trivial. % 0.75/0.98 (* end of lemma zenon_L71_ *) % 0.75/0.98 assert (zenon_L72_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a858))) -> (~(c1_1 (a858))) -> (~(c2_1 (a858))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H111 zenon_Hf zenon_H112 zenon_H113 zenon_H114. % 0.75/0.98 generalize (zenon_H111 (a858)). zenon_intro zenon_H115. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_He | zenon_intro zenon_H116 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.75/0.98 exact (zenon_H112 zenon_H118). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.75/0.98 exact (zenon_H113 zenon_H11a). % 0.75/0.98 exact (zenon_H114 zenon_H119). % 0.75/0.98 (* end of lemma zenon_L72_ *) % 0.75/0.98 assert (zenon_L73_ : (~(hskp5)) -> (hskp5) -> False). % 0.75/0.98 do 0 intro. intros zenon_H11b zenon_H11c. % 0.75/0.98 exact (zenon_H11b zenon_H11c). % 0.75/0.98 (* end of lemma zenon_L73_ *) % 0.75/0.98 assert (zenon_L74_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H11d zenon_H11e zenon_H11b zenon_H5. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H111 | zenon_intro zenon_H121 ]. % 0.75/0.98 apply (zenon_L72_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H11c | zenon_intro zenon_H6 ]. % 0.75/0.98 exact (zenon_H11b zenon_H11c). % 0.75/0.98 exact (zenon_H5 zenon_H6). % 0.75/0.98 (* end of lemma zenon_L74_ *) % 0.75/0.98 assert (zenon_L75_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H122 zenon_Hf zenon_H123 zenon_H124 zenon_H125. % 0.75/0.98 generalize (zenon_H122 (a853)). zenon_intro zenon_H126. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H126); [ zenon_intro zenon_He | zenon_intro zenon_H127 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.75/0.98 exact (zenon_H123 zenon_H129). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.75/0.98 exact (zenon_H12b zenon_H124). % 0.75/0.98 exact (zenon_H12a zenon_H125). % 0.75/0.98 (* end of lemma zenon_L75_ *) % 0.75/0.98 assert (zenon_L76_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (~(hskp18)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H33 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_Hdf. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.75/0.98 apply (zenon_L14_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.75/0.98 apply (zenon_L75_); trivial. % 0.75/0.98 exact (zenon_Hdf zenon_He0). % 0.75/0.98 (* end of lemma zenon_L76_ *) % 0.75/0.98 assert (zenon_L77_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((hskp28)\/(hskp10)) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H32 zenon_H12c zenon_Hdf zenon_H125 zenon_H124 zenon_H123 zenon_Hd zenon_Hb zenon_H1c zenon_H1f zenon_H23. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_L13_); trivial. % 0.75/0.98 apply (zenon_L76_); trivial. % 0.75/0.98 (* end of lemma zenon_L77_ *) % 0.75/0.98 assert (zenon_L78_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a844))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((hskp28)\/(hskp10)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H12e zenon_Hf4 zenon_H9d zenon_H37 zenon_H96 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H48 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H56 zenon_H40 zenon_H64 zenon_H62 zenon_H85 zenon_H23 zenon_H1f zenon_H1c zenon_Hb zenon_Hd zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H32. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.75/0.98 apply (zenon_L77_); trivial. % 0.75/0.98 apply (zenon_L63_); trivial. % 0.75/0.98 (* end of lemma zenon_L78_ *) % 0.75/0.98 assert (zenon_L79_ : (~(hskp31)) -> (hskp31) -> False). % 0.75/0.98 do 0 intro. intros zenon_H12f zenon_H130. % 0.75/0.98 exact (zenon_H12f zenon_H130). % 0.75/0.98 (* end of lemma zenon_L79_ *) % 0.75/0.98 assert (zenon_L80_ : (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a875)) -> (c2_1 (a875)) -> (c3_1 (a875)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H131 zenon_Hf zenon_H132 zenon_H133 zenon_H134. % 0.75/0.98 generalize (zenon_H131 (a875)). zenon_intro zenon_H135. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_He | zenon_intro zenon_H136 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 0.75/0.98 exact (zenon_H138 zenon_H132). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.75/0.98 exact (zenon_H13a zenon_H133). % 0.75/0.98 exact (zenon_H139 zenon_H134). % 0.75/0.98 (* end of lemma zenon_L80_ *) % 0.75/0.98 assert (zenon_L81_ : (~(hskp23)) -> (hskp23) -> False). % 0.75/0.98 do 0 intro. intros zenon_H13b zenon_H13c. % 0.75/0.98 exact (zenon_H13b zenon_H13c). % 0.75/0.98 (* end of lemma zenon_L81_ *) % 0.75/0.98 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (~(hskp23)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H13d zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_H13b. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.75/0.98 apply (zenon_L75_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.75/0.98 apply (zenon_L80_); trivial. % 0.75/0.98 exact (zenon_H13b zenon_H13c). % 0.75/0.98 (* end of lemma zenon_L82_ *) % 0.75/0.98 assert (zenon_L83_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H110 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H56 zenon_H40 zenon_H142 zenon_H123 zenon_H124 zenon_H125 zenon_H13b zenon_H13e zenon_H143 zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hf9. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.75/0.98 apply (zenon_L65_); trivial. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4a | zenon_intro zenon_H57 ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H144 ]. % 0.75/0.98 apply (zenon_L39_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hfb | zenon_intro zenon_H130 ]. % 0.75/0.98 apply (zenon_L66_); trivial. % 0.75/0.98 exact (zenon_H12f zenon_H130). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H41 ]. % 0.75/0.98 exact (zenon_H54 zenon_H55). % 0.75/0.98 exact (zenon_H40 zenon_H41). % 0.75/0.98 apply (zenon_L82_); trivial. % 0.75/0.98 apply (zenon_L48_); trivial. % 0.75/0.98 (* end of lemma zenon_L83_ *) % 0.75/0.98 assert (zenon_L84_ : (forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c3_1 (a868))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c1_1 (a868))) -> (c2_1 (a868)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H145 zenon_Hf zenon_H146 zenon_H147 zenon_H148 zenon_H149. % 0.75/0.98 generalize (zenon_H145 (a868)). zenon_intro zenon_H14a. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_He | zenon_intro zenon_H14b ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.75/0.98 exact (zenon_H146 zenon_H14d). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.75/0.98 generalize (zenon_H147 (a868)). zenon_intro zenon_H150. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_He | zenon_intro zenon_H151 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.75/0.98 exact (zenon_H14f zenon_H153). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H154 | zenon_intro zenon_H14d ]. % 0.75/0.98 exact (zenon_H148 zenon_H154). % 0.75/0.98 exact (zenon_H146 zenon_H14d). % 0.75/0.98 exact (zenon_H14e zenon_H149). % 0.75/0.98 (* end of lemma zenon_L84_ *) % 0.75/0.98 assert (zenon_L85_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (c2_1 (a868)) -> (~(c1_1 (a868))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a868))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H155 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H149 zenon_H148 zenon_H147 zenon_H146 zenon_Hf zenon_H5. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H65 | zenon_intro zenon_H156 ]. % 0.75/0.98 apply (zenon_L47_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H145 | zenon_intro zenon_H6 ]. % 0.75/0.98 apply (zenon_L84_); trivial. % 0.75/0.98 exact (zenon_H5 zenon_H6). % 0.75/0.98 (* end of lemma zenon_L85_ *) % 0.75/0.98 assert (zenon_L86_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H87 zenon_Hf zenon_Hfc zenon_Hfd zenon_H10f. % 0.75/0.98 generalize (zenon_H87 (a884)). zenon_intro zenon_H157. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_He | zenon_intro zenon_H158 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H105 | zenon_intro zenon_H159 ]. % 0.75/0.98 exact (zenon_Hfc zenon_H105). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H106 | zenon_intro zenon_H15a ]. % 0.75/0.98 exact (zenon_H106 zenon_Hfd). % 0.75/0.98 exact (zenon_H15a zenon_H10f). % 0.75/0.98 (* end of lemma zenon_L86_ *) % 0.75/0.98 assert (zenon_L87_ : (~(hskp7)) -> (hskp7) -> False). % 0.75/0.98 do 0 intro. intros zenon_H15b zenon_H15c. % 0.75/0.98 exact (zenon_H15b zenon_H15c). % 0.75/0.98 (* end of lemma zenon_L87_ *) % 0.75/0.98 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp4)) -> (~(c3_1 (a868))) -> (~(c1_1 (a868))) -> (c2_1 (a868)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp7)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H10c zenon_H15d zenon_H5 zenon_H146 zenon_H148 zenon_H149 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H155 zenon_H15b. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.75/0.98 apply (zenon_L85_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.75/0.98 apply (zenon_L86_); trivial. % 0.75/0.98 exact (zenon_H15b zenon_H15c). % 0.75/0.98 (* end of lemma zenon_L88_ *) % 0.75/0.98 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H15f zenon_H110 zenon_H15d zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H5 zenon_H155 zenon_H37 zenon_H38 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hf9. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.75/0.98 apply (zenon_L65_); trivial. % 0.75/0.98 apply (zenon_L88_); trivial. % 0.75/0.98 (* end of lemma zenon_L89_ *) % 0.75/0.98 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_Had zenon_H162 zenon_H15d zenon_H15b zenon_H5 zenon_H155 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H143 zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_H142 zenon_H40 zenon_H56 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H7a zenon_H7d zenon_H82 zenon_H110. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.75/0.98 apply (zenon_L83_); trivial. % 0.75/0.98 apply (zenon_L89_); trivial. % 0.75/0.98 (* end of lemma zenon_L90_ *) % 0.75/0.98 assert (zenon_L91_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (c1_1 (a843)) -> (~(c3_1 (a843))) -> (~(c0_1 (a843))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp4)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H163 zenon_H164 zenon_H165 zenon_H166 zenon_Hf zenon_H62 zenon_H5. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.75/0.98 generalize (zenon_H168 (a843)). zenon_intro zenon_H169. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_He | zenon_intro zenon_H16a ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ]. % 0.75/0.98 exact (zenon_H166 zenon_H16c). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ]. % 0.75/0.98 exact (zenon_H165 zenon_H16e). % 0.75/0.98 exact (zenon_H16d zenon_H164). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H63 | zenon_intro zenon_H6 ]. % 0.75/0.98 exact (zenon_H62 zenon_H63). % 0.75/0.98 exact (zenon_H5 zenon_H6). % 0.75/0.98 (* end of lemma zenon_L91_ *) % 0.75/0.98 assert (zenon_L92_ : ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp19)) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H16f zenon_H44 zenon_Hcf zenon_H13b. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H45 | zenon_intro zenon_H170 ]. % 0.75/0.98 exact (zenon_H44 zenon_H45). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H13c ]. % 0.75/0.98 exact (zenon_Hcf zenon_Hd0). % 0.75/0.98 exact (zenon_H13b zenon_H13c). % 0.75/0.98 (* end of lemma zenon_L92_ *) % 0.75/0.98 assert (zenon_L93_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp25)) -> False). % 0.75/0.98 do 0 intro. intros zenon_He1 zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1a. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.75/0.98 apply (zenon_L39_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.75/0.98 apply (zenon_L54_); trivial. % 0.75/0.98 exact (zenon_H1a zenon_H1b). % 0.75/0.98 (* end of lemma zenon_L93_ *) % 0.75/0.98 assert (zenon_L94_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp19)) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> False). % 0.75/0.98 do 0 intro. intros zenon_He6 zenon_H171 zenon_H1a zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H44 zenon_H13b zenon_H16f. % 0.75/0.98 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.75/0.98 apply (zenon_L92_); trivial. % 0.75/0.98 apply (zenon_L93_); trivial. % 0.75/0.98 (* end of lemma zenon_L94_ *) % 0.75/0.98 assert (zenon_L95_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (c1_1 (a857)) -> (c3_1 (a857)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H10 zenon_Hf zenon_H122 zenon_Hd6 zenon_Hd8. % 0.75/0.98 generalize (zenon_H10 (a857)). zenon_intro zenon_H173. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_He | zenon_intro zenon_H174 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H176 | zenon_intro zenon_H175 ]. % 0.75/0.98 generalize (zenon_H122 (a857)). zenon_intro zenon_H177. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_He | zenon_intro zenon_H178 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H179 | zenon_intro zenon_H175 ]. % 0.75/0.98 exact (zenon_H176 zenon_H179). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ]. % 0.75/0.98 exact (zenon_Hdc zenon_Hd6). % 0.75/0.98 exact (zenon_Hdd zenon_Hd8). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ]. % 0.75/0.98 exact (zenon_Hdc zenon_Hd6). % 0.75/0.98 exact (zenon_Hdd zenon_Hd8). % 0.75/0.98 (* end of lemma zenon_L95_ *) % 0.75/0.98 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp11)) -> (~(c0_1 (a890))) -> (~(c3_1 (a890))) -> (c2_1 (a890)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp18)) -> False). % 0.75/0.98 do 0 intro. intros zenon_He1 zenon_H12c zenon_H2e zenon_H25 zenon_H26 zenon_H27 zenon_H30 zenon_Hdf. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.75/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.75/0.98 apply (zenon_L14_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.75/0.98 apply (zenon_L14_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.75/0.98 apply (zenon_L95_); trivial. % 0.75/0.98 exact (zenon_H2e zenon_H2f). % 0.75/0.98 exact (zenon_Hdf zenon_He0). % 0.75/0.98 (* end of lemma zenon_L96_ *) % 0.75/0.98 assert (zenon_L97_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp19)) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H33 zenon_He6 zenon_H12c zenon_Hdf zenon_H2e zenon_H30 zenon_H44 zenon_H13b zenon_H16f. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.98 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.75/0.98 apply (zenon_L92_); trivial. % 0.75/0.98 apply (zenon_L96_); trivial. % 0.75/0.98 (* end of lemma zenon_L97_ *) % 0.75/0.98 assert (zenon_L98_ : ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a868)) -> (~(c3_1 (a868))) -> (~(c1_1 (a868))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H17a zenon_H149 zenon_H146 zenon_H148 zenon_Hf zenon_H9 zenon_H15b. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.75/0.98 generalize (zenon_H17c (a868)). zenon_intro zenon_H17d. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_He | zenon_intro zenon_H17e ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H154 | zenon_intro zenon_H17f ]. % 0.75/0.98 exact (zenon_H148 zenon_H154). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H14d | zenon_intro zenon_H14e ]. % 0.75/0.98 exact (zenon_H146 zenon_H14d). % 0.75/0.98 exact (zenon_H14e zenon_H149). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_Ha | zenon_intro zenon_H15c ]. % 0.75/0.98 exact (zenon_H9 zenon_Ha). % 0.75/0.98 exact (zenon_H15b zenon_H15c). % 0.75/0.98 (* end of lemma zenon_L98_ *) % 0.75/0.98 assert (zenon_L99_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c0_1 (a839)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H98 zenon_Hf zenon_Hd5 zenon_H12 zenon_H13 zenon_H11. % 0.75/0.98 generalize (zenon_H98 (a839)). zenon_intro zenon_H180. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H180); [ zenon_intro zenon_He | zenon_intro zenon_H181 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.75/0.98 generalize (zenon_Hd5 (a839)). zenon_intro zenon_H184. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_He | zenon_intro zenon_H185 ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H19 | zenon_intro zenon_H186 ]. % 0.75/0.98 exact (zenon_H19 zenon_H12). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H187 | zenon_intro zenon_H18 ]. % 0.75/0.98 exact (zenon_H187 zenon_H183). % 0.75/0.98 exact (zenon_H18 zenon_H13). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H17 | zenon_intro zenon_H18 ]. % 0.75/0.98 exact (zenon_H17 zenon_H11). % 0.75/0.98 exact (zenon_H18 zenon_H13). % 0.75/0.98 (* end of lemma zenon_L99_ *) % 0.75/0.98 assert (zenon_L100_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (c0_1 (a839)) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.75/0.98 do 0 intro. intros zenon_Hb9 zenon_Hd5 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1a. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H98 | zenon_intro zenon_Hba ]. % 0.75/0.98 apply (zenon_L99_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H10 | zenon_intro zenon_H1b ]. % 0.75/0.98 apply (zenon_L9_); trivial. % 0.75/0.98 exact (zenon_H1a zenon_H1b). % 0.75/0.98 (* end of lemma zenon_L100_ *) % 0.75/0.98 assert (zenon_L101_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H1e zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hb9 zenon_H1a. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.75/0.98 apply (zenon_L39_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.75/0.98 apply (zenon_L100_); trivial. % 0.75/0.98 exact (zenon_H1a zenon_H1b). % 0.75/0.98 (* end of lemma zenon_L101_ *) % 0.75/0.98 assert (zenon_L102_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_H148 zenon_H146 zenon_H149 zenon_H15b zenon_H17a. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.98 apply (zenon_L98_); trivial. % 0.75/0.98 apply (zenon_L16_); trivial. % 0.75/0.98 (* end of lemma zenon_L102_ *) % 0.75/0.98 assert (zenon_L103_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H15f zenon_H32 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hb9 zenon_H171 zenon_H23. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.98 apply (zenon_L98_); trivial. % 0.75/0.98 apply (zenon_L101_); trivial. % 0.75/0.98 apply (zenon_L102_); trivial. % 0.75/0.98 (* end of lemma zenon_L103_ *) % 0.75/0.98 assert (zenon_L104_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp19)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H44 zenon_H16f zenon_H30 zenon_H2e zenon_Hdf zenon_H12c zenon_H32. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_L94_); trivial. % 0.75/0.98 apply (zenon_L97_); trivial. % 0.75/0.98 apply (zenon_L103_); trivial. % 0.75/0.98 (* end of lemma zenon_L104_ *) % 0.75/0.98 assert (zenon_L105_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a863)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c3_1 (a863)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H10 zenon_Hf zenon_H8a zenon_H188 zenon_H89. % 0.75/0.98 generalize (zenon_H10 (a863)). zenon_intro zenon_H189. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H189); [ zenon_intro zenon_He | zenon_intro zenon_H18a ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H95 | zenon_intro zenon_H91 ]. % 0.75/0.98 exact (zenon_H95 zenon_H8a). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 0.75/0.98 generalize (zenon_H188 (a863)). zenon_intro zenon_H18b. % 0.75/0.98 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_He | zenon_intro zenon_H18c ]. % 0.75/0.98 exact (zenon_He zenon_Hf). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H8e | zenon_intro zenon_H9b ]. % 0.75/0.98 exact (zenon_H94 zenon_H8e). % 0.75/0.98 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H95 | zenon_intro zenon_H93 ]. % 0.75/0.98 exact (zenon_H95 zenon_H8a). % 0.75/0.98 exact (zenon_H93 zenon_H89). % 0.75/0.98 exact (zenon_H93 zenon_H89). % 0.75/0.98 (* end of lemma zenon_L105_ *) % 0.75/0.98 assert (zenon_L106_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a863)) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.75/0.98 do 0 intro. intros zenon_Hb9 zenon_H88 zenon_H89 zenon_H188 zenon_H8a zenon_Hf zenon_H1a. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H98 | zenon_intro zenon_Hba ]. % 0.75/0.98 apply (zenon_L37_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H10 | zenon_intro zenon_H1b ]. % 0.75/0.98 apply (zenon_L105_); trivial. % 0.75/0.98 exact (zenon_H1a zenon_H1b). % 0.75/0.98 (* end of lemma zenon_L106_ *) % 0.75/0.98 assert (zenon_L107_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> False). % 0.75/0.98 do 0 intro. intros zenon_H18d zenon_H1a zenon_Hf zenon_H8a zenon_H89 zenon_H88 zenon_Hb9 zenon_Hab zenon_H1c. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.75/0.98 apply (zenon_L106_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.75/0.98 exact (zenon_Hab zenon_Hac). % 0.75/0.98 exact (zenon_H1c zenon_H1d). % 0.75/0.98 (* end of lemma zenon_L107_ *) % 0.75/0.98 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H9c zenon_H32 zenon_H30 zenon_H2e zenon_Hb9 zenon_Hab zenon_H1c zenon_H18d. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_L107_); trivial. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.75/0.98 apply (zenon_L14_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.75/0.98 apply (zenon_L105_); trivial. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.75/0.98 exact (zenon_Hab zenon_Hac). % 0.75/0.98 exact (zenon_H1c zenon_H1d). % 0.75/0.98 exact (zenon_H2e zenon_H2f). % 0.75/0.98 (* end of lemma zenon_L108_ *) % 0.75/0.98 assert (zenon_L109_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_Hf4 zenon_Hab zenon_H1c zenon_H18d zenon_H32 zenon_H12c zenon_Hdf zenon_H2e zenon_H30 zenon_H16f zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H162. % 0.75/0.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.75/0.98 apply (zenon_L104_); trivial. % 0.75/0.98 apply (zenon_L108_); trivial. % 0.75/0.98 (* end of lemma zenon_L109_ *) % 0.75/0.98 assert (zenon_L110_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (ndr1_0) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H23 zenon_H171 zenon_H1a zenon_Hb9 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hf zenon_He8 zenon_He9 zenon_Hea zenon_H59 zenon_H5a zenon_H5b zenon_Hf1. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.98 apply (zenon_L59_); trivial. % 0.75/0.98 apply (zenon_L101_); trivial. % 0.75/0.98 (* end of lemma zenon_L110_ *) % 0.75/0.98 assert (zenon_L111_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_He8 zenon_He9 zenon_Hea zenon_H59 zenon_H5a zenon_H5b zenon_Hf1. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.75/0.98 apply (zenon_L59_); trivial. % 0.75/0.98 apply (zenon_L16_); trivial. % 0.75/0.98 (* end of lemma zenon_L111_ *) % 0.75/0.98 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_Hf3 zenon_H32 zenon_H30 zenon_H2e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hb9 zenon_H171 zenon_H23. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_L110_); trivial. % 0.75/0.98 apply (zenon_L111_); trivial. % 0.75/0.98 (* end of lemma zenon_L112_ *) % 0.75/0.98 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_Had zenon_H12e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_H18d zenon_H1c zenon_Hab zenon_Hf4. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.75/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.75/0.98 apply (zenon_L109_); trivial. % 0.75/0.98 apply (zenon_L112_); trivial. % 0.75/0.98 (* end of lemma zenon_L113_ *) % 0.75/0.98 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H18f zenon_H190 zenon_H12e zenon_Hf1 zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_H18d zenon_H1c zenon_Hab zenon_Hf4 zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.75/0.98 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.75/0.98 apply (zenon_L91_); trivial. % 0.75/0.98 apply (zenon_L113_); trivial. % 0.75/0.98 (* end of lemma zenon_L114_ *) % 0.75/0.98 assert (zenon_L115_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H193 zenon_H190 zenon_H12e zenon_Hf1 zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_H18d zenon_H1c zenon_Hab zenon_Hf4 zenon_H166 zenon_H165 zenon_H164 zenon_H163 zenon_H1 zenon_H5 zenon_H7. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.75/0.98 apply (zenon_L4_); trivial. % 0.75/0.98 apply (zenon_L114_); trivial. % 0.75/0.98 (* end of lemma zenon_L115_ *) % 0.75/0.98 assert (zenon_L116_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H32 zenon_H48 zenon_H46 zenon_H16f zenon_H13b zenon_H44 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_He6. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.75/0.98 apply (zenon_L94_); trivial. % 0.75/0.98 apply (zenon_L23_); trivial. % 0.75/0.98 (* end of lemma zenon_L116_ *) % 0.75/0.98 assert (zenon_L117_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp19)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H162 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H44 zenon_H16f zenon_H46 zenon_H48 zenon_H32. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.75/0.98 apply (zenon_L116_); trivial. % 0.75/0.98 apply (zenon_L103_); trivial. % 0.75/0.98 (* end of lemma zenon_L117_ *) % 0.75/0.98 assert (zenon_L118_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp19)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.75/0.98 do 0 intro. intros zenon_H85 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56 zenon_H32 zenon_H48 zenon_H16f zenon_H44 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H2e zenon_H30 zenon_H162. % 0.75/0.98 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.75/0.98 apply (zenon_L117_); trivial. % 0.75/0.98 apply (zenon_L49_); trivial. % 0.75/0.98 (* end of lemma zenon_L118_ *) % 0.75/0.98 assert (zenon_L119_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Had zenon_H12e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H85 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56 zenon_H32 zenon_H48 zenon_H16f zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H2e zenon_H30 zenon_H162 zenon_Hd3 zenon_Hd1 zenon_He2 zenon_Hf4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.98 apply (zenon_L118_); trivial. % 0.80/0.98 apply (zenon_L57_); trivial. % 0.80/0.98 apply (zenon_L112_); trivial. % 0.80/0.98 (* end of lemma zenon_L119_ *) % 0.80/0.98 assert (zenon_L120_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L91_); trivial. % 0.80/0.98 apply (zenon_L41_); trivial. % 0.80/0.98 (* end of lemma zenon_L120_ *) % 0.80/0.98 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H194 zenon_H190 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H143 zenon_H13e zenon_H142 zenon_H40 zenon_H56 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H7a zenon_H7d zenon_H82 zenon_H110 zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L91_); trivial. % 0.80/0.98 apply (zenon_L90_); trivial. % 0.80/0.98 (* end of lemma zenon_L121_ *) % 0.80/0.98 assert (zenon_L122_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a843)) -> (~(c3_1 (a843))) -> (~(c0_1 (a843))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H197 zenon_H198 zenon_H199 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_H143 zenon_H13e zenon_H142 zenon_Hf9 zenon_H56 zenon_H40 zenon_H10a zenon_H7a zenon_H7d zenon_H82 zenon_H110 zenon_H163 zenon_H5 zenon_H164 zenon_H165 zenon_H166 zenon_Hae zenon_H190. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.98 apply (zenon_L120_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L91_); trivial. % 0.80/0.98 apply (zenon_L71_); trivial. % 0.80/0.98 apply (zenon_L121_); trivial. % 0.80/0.98 (* end of lemma zenon_L122_ *) % 0.80/0.98 assert (zenon_L123_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hfb zenon_Hf zenon_H19f zenon_H1a0 zenon_H1a1. % 0.80/0.98 generalize (zenon_Hfb (a841)). zenon_intro zenon_H1a2. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_He | zenon_intro zenon_H1a3 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.80/0.98 exact (zenon_H19f zenon_H1a5). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ]. % 0.80/0.98 exact (zenon_H1a7 zenon_H1a0). % 0.80/0.98 exact (zenon_H1a6 zenon_H1a1). % 0.80/0.98 (* end of lemma zenon_L123_ *) % 0.80/0.98 assert (zenon_L124_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp4)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1a8 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_Hf7 zenon_H5. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hfb | zenon_intro zenon_H1a9 ]. % 0.80/0.98 apply (zenon_L123_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H6 ]. % 0.80/0.98 exact (zenon_Hf7 zenon_Hf8). % 0.80/0.98 exact (zenon_H5 zenon_H6). % 0.80/0.98 (* end of lemma zenon_L124_ *) % 0.80/0.98 assert (zenon_L125_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp17)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10c zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H62. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H36 | zenon_intro zenon_H97 ]. % 0.80/0.98 apply (zenon_L18_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H87 | zenon_intro zenon_H63 ]. % 0.80/0.98 apply (zenon_L86_); trivial. % 0.80/0.98 exact (zenon_H62 zenon_H63). % 0.80/0.98 (* end of lemma zenon_L125_ *) % 0.80/0.98 assert (zenon_L126_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H110 zenon_H96 zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/0.98 apply (zenon_L124_); trivial. % 0.80/0.98 apply (zenon_L125_); trivial. % 0.80/0.98 (* end of lemma zenon_L126_ *) % 0.80/0.98 assert (zenon_L127_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H1a8 zenon_H5 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H110. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L126_); trivial. % 0.80/0.98 apply (zenon_L41_); trivial. % 0.80/0.98 (* end of lemma zenon_L127_ *) % 0.80/0.98 assert (zenon_L128_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H108. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.80/0.98 apply (zenon_L47_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.80/0.98 apply (zenon_L123_); trivial. % 0.80/0.98 exact (zenon_H108 zenon_H109). % 0.80/0.98 (* end of lemma zenon_L128_ *) % 0.80/0.98 assert (zenon_L129_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H197 zenon_H198 zenon_H199 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_Hf9 zenon_H143 zenon_H13e zenon_H142 zenon_H40 zenon_H56 zenon_H7a zenon_H7d zenon_H82 zenon_H10a zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.98 apply (zenon_L127_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.98 apply (zenon_L128_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L126_); trivial. % 0.80/0.98 apply (zenon_L90_); trivial. % 0.80/0.98 (* end of lemma zenon_L129_ *) % 0.80/0.98 assert (zenon_L130_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((hskp28)\/(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1aa zenon_H198 zenon_H199 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_Hf9 zenon_H143 zenon_H13e zenon_H142 zenon_H40 zenon_H56 zenon_H7a zenon_H7d zenon_H82 zenon_H10a zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190 zenon_H23 zenon_H1f zenon_H1c zenon_Hb zenon_Hd zenon_H30 zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/0.98 apply (zenon_L17_); trivial. % 0.80/0.98 apply (zenon_L129_); trivial. % 0.80/0.98 (* end of lemma zenon_L130_ *) % 0.80/0.98 assert (zenon_L131_ : (forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84)))))) -> (ndr1_0) -> (~(c3_1 (a890))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c0_1 (a890))) -> (c2_1 (a890)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H58 zenon_Hf zenon_H26 zenon_H147 zenon_H25 zenon_H27. % 0.80/0.98 generalize (zenon_H58 (a890)). zenon_intro zenon_H1ab. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_He | zenon_intro zenon_H1ac ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H2d | zenon_intro zenon_H1ad ]. % 0.80/0.98 exact (zenon_H26 zenon_H2d). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2c ]. % 0.80/0.98 generalize (zenon_H147 (a890)). zenon_intro zenon_H1af. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_He | zenon_intro zenon_H1b0 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1b1 ]. % 0.80/0.98 exact (zenon_H25 zenon_H2b). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2d ]. % 0.80/0.98 exact (zenon_H1ae zenon_H1b2). % 0.80/0.98 exact (zenon_H26 zenon_H2d). % 0.80/0.98 exact (zenon_H2c zenon_H27). % 0.80/0.98 (* end of lemma zenon_L131_ *) % 0.80/0.98 assert (zenon_L132_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (c2_1 (a890)) -> (~(c0_1 (a890))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a890))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H27 zenon_H25 zenon_H147 zenon_H26 zenon_Hf zenon_H9. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/0.98 apply (zenon_L58_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/0.98 apply (zenon_L131_); trivial. % 0.80/0.98 exact (zenon_H9 zenon_Ha). % 0.80/0.98 (* end of lemma zenon_L132_ *) % 0.80/0.98 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_Hfc zenon_Hfd zenon_H10f zenon_H15b zenon_H15d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/0.98 apply (zenon_L132_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/0.98 apply (zenon_L86_); trivial. % 0.80/0.98 exact (zenon_H15b zenon_H15c). % 0.80/0.98 apply (zenon_L16_); trivial. % 0.80/0.98 (* end of lemma zenon_L133_ *) % 0.80/0.98 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (~(hskp19)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10c zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H15b zenon_H15d zenon_H16f zenon_H13b zenon_H44 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_He6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_L94_); trivial. % 0.80/0.98 apply (zenon_L133_); trivial. % 0.80/0.98 (* end of lemma zenon_L134_ *) % 0.80/0.98 assert (zenon_L135_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp25)) -> (ndr1_0) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H23 zenon_H1f zenon_H1c zenon_H1a zenon_Hf zenon_H148 zenon_H146 zenon_H149 zenon_H15b zenon_H17a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.98 apply (zenon_L98_); trivial. % 0.80/0.98 apply (zenon_L12_); trivial. % 0.80/0.98 (* end of lemma zenon_L135_ *) % 0.80/0.98 assert (zenon_L136_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H15f zenon_H32 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_H1c zenon_H1f zenon_H23. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_L135_); trivial. % 0.80/0.98 apply (zenon_L102_); trivial. % 0.80/0.98 (* end of lemma zenon_L136_ *) % 0.80/0.98 assert (zenon_L137_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9d zenon_H87 zenon_H89 zenon_H8a zenon_H88 zenon_Hf zenon_H40. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.80/0.98 apply (zenon_L35_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.80/0.98 apply (zenon_L37_); trivial. % 0.80/0.98 exact (zenon_H40 zenon_H41). % 0.80/0.98 (* end of lemma zenon_L137_ *) % 0.80/0.98 assert (zenon_L138_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H9d zenon_H40 zenon_H8a zenon_H89 zenon_H88 zenon_H15b zenon_H15d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/0.98 apply (zenon_L132_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/0.98 apply (zenon_L137_); trivial. % 0.80/0.98 exact (zenon_H15b zenon_H15c). % 0.80/0.98 apply (zenon_L16_); trivial. % 0.80/0.98 (* end of lemma zenon_L138_ *) % 0.80/0.98 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9c zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H9d zenon_H40 zenon_H15b zenon_H15d zenon_Hb9 zenon_Hab zenon_H1c zenon_H18d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_L107_); trivial. % 0.80/0.98 apply (zenon_L138_); trivial. % 0.80/0.98 (* end of lemma zenon_L139_ *) % 0.80/0.98 assert (zenon_L140_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H190 zenon_H12e zenon_H9d zenon_H40 zenon_H110 zenon_Hf1 zenon_H15d zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H1a8 zenon_H1f zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_H18d zenon_H1c zenon_Hab zenon_Hf4 zenon_Hf zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L91_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.98 apply (zenon_L109_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/0.98 apply (zenon_L124_); trivial. % 0.80/0.98 apply (zenon_L134_); trivial. % 0.80/0.98 apply (zenon_L136_); trivial. % 0.80/0.98 apply (zenon_L139_); trivial. % 0.80/0.98 (* end of lemma zenon_L140_ *) % 0.80/0.98 assert (zenon_L141_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1b3 zenon_Hf zenon_H123 zenon_H4a zenon_H124 zenon_H125. % 0.80/0.98 generalize (zenon_H1b3 (a853)). zenon_intro zenon_H1b4. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_He | zenon_intro zenon_H1b5 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H129 | zenon_intro zenon_H1b6 ]. % 0.80/0.98 exact (zenon_H123 zenon_H129). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H12a ]. % 0.80/0.98 generalize (zenon_H4a (a853)). zenon_intro zenon_H1b8. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H129 | zenon_intro zenon_H1ba ]. % 0.80/0.98 exact (zenon_H123 zenon_H129). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bb | zenon_intro zenon_H12b ]. % 0.80/0.98 exact (zenon_H1b7 zenon_H1bb). % 0.80/0.98 exact (zenon_H12b zenon_H124). % 0.80/0.98 exact (zenon_H12a zenon_H125). % 0.80/0.98 (* end of lemma zenon_L141_ *) % 0.80/0.98 assert (zenon_L142_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (ndr1_0) -> (~(hskp25)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp29)) -> (~(hskp3)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H56 zenon_H11b zenon_Hb9 zenon_H88 zenon_H89 zenon_H8a zenon_Hf zenon_H1a zenon_H123 zenon_H124 zenon_H125 zenon_H1bc zenon_H54 zenon_H40. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4a | zenon_intro zenon_H57 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L141_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/0.98 apply (zenon_L106_); trivial. % 0.80/0.98 exact (zenon_H11b zenon_H11c). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H41 ]. % 0.80/0.98 exact (zenon_H54 zenon_H55). % 0.80/0.98 exact (zenon_H40 zenon_H41). % 0.80/0.98 (* end of lemma zenon_L142_ *) % 0.80/0.98 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (~(hskp14)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H7c zenon_H1be zenon_H89 zenon_H8a zenon_H88 zenon_H3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H98 | zenon_intro zenon_H1bf ]. % 0.80/0.98 apply (zenon_L37_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H70 | zenon_intro zenon_H4 ]. % 0.80/0.98 apply (zenon_L30_); trivial. % 0.80/0.98 exact (zenon_H3 zenon_H4). % 0.80/0.98 (* end of lemma zenon_L143_ *) % 0.80/0.98 assert (zenon_L144_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(hskp25)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H82 zenon_H1be zenon_H3 zenon_H1bc zenon_H11b zenon_H88 zenon_H8a zenon_H89 zenon_H1a zenon_Hb9 zenon_H125 zenon_H124 zenon_H123 zenon_Hf zenon_H40 zenon_H56. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/0.98 apply (zenon_L142_); trivial. % 0.80/0.98 apply (zenon_L143_); trivial. % 0.80/0.98 (* end of lemma zenon_L144_ *) % 0.80/0.98 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9c zenon_H32 zenon_H12c zenon_Hdf zenon_H56 zenon_H40 zenon_H123 zenon_H124 zenon_H125 zenon_Hb9 zenon_H11b zenon_H1bc zenon_H3 zenon_H1be zenon_H82. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_L144_); trivial. % 0.80/0.98 apply (zenon_L76_); trivial. % 0.80/0.98 (* end of lemma zenon_L145_ *) % 0.80/0.98 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9c zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H9d zenon_H15b zenon_H15d zenon_H56 zenon_H40 zenon_H123 zenon_H124 zenon_H125 zenon_Hb9 zenon_H11b zenon_H1bc zenon_H3 zenon_H1be zenon_H82. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_L144_); trivial. % 0.80/0.98 apply (zenon_L138_); trivial. % 0.80/0.98 (* end of lemma zenon_L146_ *) % 0.80/0.98 assert (zenon_L147_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H199 zenon_H190 zenon_H12e zenon_Hf1 zenon_H9d zenon_H15d zenon_H85 zenon_H82 zenon_H7d zenon_H7a zenon_H40 zenon_H56 zenon_H32 zenon_H48 zenon_H16f zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H2e zenon_H30 zenon_H162 zenon_H1be zenon_H3 zenon_H1bc zenon_H11b zenon_H12c zenon_Hf4 zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163 zenon_Hf zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.98 apply (zenon_L128_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.98 apply (zenon_L91_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.98 apply (zenon_L118_); trivial. % 0.80/0.98 apply (zenon_L145_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.98 apply (zenon_L118_); trivial. % 0.80/0.98 apply (zenon_L146_); trivial. % 0.80/0.98 (* end of lemma zenon_L147_ *) % 0.80/0.98 assert (zenon_L148_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> (~(c3_1 (a851))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp29)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hc4 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hdf zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H59 zenon_H5b zenon_H5a zenon_H12c zenon_H54. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.80/0.98 apply (zenon_L47_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/0.98 apply (zenon_L45_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/0.98 apply (zenon_L75_); trivial. % 0.80/0.98 exact (zenon_Hdf zenon_He0). % 0.80/0.98 exact (zenon_H54 zenon_H55). % 0.80/0.98 (* end of lemma zenon_L148_ *) % 0.80/0.98 assert (zenon_L149_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H142 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H12f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H144 ]. % 0.80/0.98 apply (zenon_L39_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hfb | zenon_intro zenon_H130 ]. % 0.80/0.98 apply (zenon_L123_); trivial. % 0.80/0.98 exact (zenon_H12f zenon_H130). % 0.80/0.98 (* end of lemma zenon_L149_ *) % 0.80/0.98 assert (zenon_L150_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c2_1 (a875)) -> (c3_1 (a875)) -> (c0_1 (a875)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H188 zenon_Hf zenon_Hd5 zenon_H133 zenon_H134 zenon_H132. % 0.80/0.98 generalize (zenon_H188 (a875)). zenon_intro zenon_H1c0. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_He | zenon_intro zenon_H1c1 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.80/0.98 generalize (zenon_Hd5 (a875)). zenon_intro zenon_H1c4. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_He | zenon_intro zenon_H1c5 ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H137 ]. % 0.80/0.98 exact (zenon_H1c6 zenon_H1c3). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.80/0.98 exact (zenon_H13a zenon_H133). % 0.80/0.98 exact (zenon_H139 zenon_H134). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ]. % 0.80/0.98 exact (zenon_H138 zenon_H132). % 0.80/0.98 exact (zenon_H139 zenon_H134). % 0.80/0.98 (* end of lemma zenon_L150_ *) % 0.80/0.98 assert (zenon_L151_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c2_1 (a849)) -> (c1_1 (a849)) -> (c0_1 (a849)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1c7 zenon_H132 zenon_H134 zenon_H133 zenon_Hd5 zenon_H73 zenon_H72 zenon_H71 zenon_Hf zenon_Hcf. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/0.98 apply (zenon_L150_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/0.98 apply (zenon_L30_); trivial. % 0.80/0.98 exact (zenon_Hcf zenon_Hd0). % 0.80/0.98 (* end of lemma zenon_L151_ *) % 0.80/0.98 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp30)) -> (c0_1 (a849)) -> (c1_1 (a849)) -> (c2_1 (a849)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp25)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H13d zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hcf zenon_H71 zenon_H72 zenon_H73 zenon_H1c7 zenon_H1a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.80/0.98 apply (zenon_L39_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.80/0.98 apply (zenon_L151_); trivial. % 0.80/0.98 exact (zenon_H1a zenon_H1b). % 0.80/0.98 (* end of lemma zenon_L152_ *) % 0.80/0.98 assert (zenon_L153_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp25)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H7c zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1c7 zenon_H1a zenon_H171 zenon_H143. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.80/0.98 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.98 apply (zenon_L149_); trivial. % 0.80/0.98 apply (zenon_L152_); trivial. % 0.80/0.98 apply (zenon_L93_); trivial. % 0.80/0.98 (* end of lemma zenon_L153_ *) % 0.80/0.98 assert (zenon_L154_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c3_1 (a851))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H32 zenon_Hc4 zenon_H59 zenon_H5b zenon_H5a zenon_H123 zenon_H124 zenon_H125 zenon_Hdf zenon_H12c zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hf zenon_H143 zenon_H171 zenon_H1c7 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_He6 zenon_H82. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/0.98 apply (zenon_L148_); trivial. % 0.80/0.98 apply (zenon_L153_); trivial. % 0.80/0.98 apply (zenon_L76_); trivial. % 0.80/0.98 (* end of lemma zenon_L154_ *) % 0.80/0.98 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Had zenon_H12e zenon_H30 zenon_H2e zenon_Hf1 zenon_Hb9 zenon_H23 zenon_H82 zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H1c7 zenon_H171 zenon_H143 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H5a zenon_H5b zenon_H59 zenon_Hc4 zenon_H32. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.98 apply (zenon_L154_); trivial. % 0.80/0.98 apply (zenon_L112_); trivial. % 0.80/0.98 (* end of lemma zenon_L155_ *) % 0.80/0.98 assert (zenon_L156_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H188 zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb. % 0.80/0.98 generalize (zenon_H188 (a836)). zenon_intro zenon_H1cc. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_He | zenon_intro zenon_H1cd ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.80/0.98 exact (zenon_H1c9 zenon_H1cf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.80/0.98 exact (zenon_H1d1 zenon_H1ca). % 0.80/0.98 exact (zenon_H1d0 zenon_H1cb). % 0.80/0.98 (* end of lemma zenon_L156_ *) % 0.80/0.98 assert (zenon_L157_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H18d zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_Hab zenon_H1c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.80/0.98 apply (zenon_L156_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.80/0.98 exact (zenon_Hab zenon_Hac). % 0.80/0.98 exact (zenon_H1c zenon_H1d). % 0.80/0.98 (* end of lemma zenon_L157_ *) % 0.80/0.98 assert (zenon_L158_ : (~(hskp22)) -> (hskp22) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1d2 zenon_H1d3. % 0.80/0.98 exact (zenon_H1d2 zenon_H1d3). % 0.80/0.98 (* end of lemma zenon_L158_ *) % 0.80/0.98 assert (zenon_L159_ : (~(hskp8)) -> (hskp8) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1d4 zenon_H1d5. % 0.80/0.98 exact (zenon_H1d4 zenon_H1d5). % 0.80/0.98 (* end of lemma zenon_L159_ *) % 0.80/0.98 assert (zenon_L160_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp8)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1d6 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H1d2 zenon_H1d4. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H188 | zenon_intro zenon_H1d7 ]. % 0.80/0.98 apply (zenon_L156_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d5 ]. % 0.80/0.98 exact (zenon_H1d2 zenon_H1d3). % 0.80/0.98 exact (zenon_H1d4 zenon_H1d5). % 0.80/0.98 (* end of lemma zenon_L160_ *) % 0.80/0.98 assert (zenon_L161_ : (forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30)))))) -> (ndr1_0) -> (~(c3_1 (a866))) -> (c0_1 (a866)) -> (c1_1 (a866)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hbb zenon_Hf zenon_H1d8 zenon_H1d9 zenon_H1da. % 0.80/0.98 generalize (zenon_Hbb (a866)). zenon_intro zenon_H1db. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_He | zenon_intro zenon_H1dc ]. % 0.80/0.98 exact (zenon_He zenon_Hf). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 0.80/0.98 exact (zenon_H1d8 zenon_H1de). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 0.80/0.98 exact (zenon_H1e0 zenon_H1d9). % 0.80/0.98 exact (zenon_H1df zenon_H1da). % 0.80/0.98 (* end of lemma zenon_L161_ *) % 0.80/0.98 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1e1 zenon_H82 zenon_H7d zenon_H7a zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hc4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.80/0.99 apply (zenon_L47_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/0.99 apply (zenon_L161_); trivial. % 0.80/0.99 exact (zenon_H54 zenon_H55). % 0.80/0.99 apply (zenon_L48_); trivial. % 0.80/0.99 (* end of lemma zenon_L162_ *) % 0.80/0.99 assert (zenon_L163_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H19c zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc4 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1d4 zenon_H1d6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/0.99 apply (zenon_L160_); trivial. % 0.80/0.99 apply (zenon_L162_); trivial. % 0.80/0.99 (* end of lemma zenon_L163_ *) % 0.80/0.99 assert (zenon_L164_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H198 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc4 zenon_H1d4 zenon_H1d6 zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c zenon_H18d. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_L163_); trivial. % 0.80/0.99 (* end of lemma zenon_L164_ *) % 0.80/0.99 assert (zenon_L165_ : (forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92)))))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H67 zenon_Hf zenon_H1e5 zenon_H1e6 zenon_H1e7. % 0.80/0.99 generalize (zenon_H67 (a838)). zenon_intro zenon_H1e8. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_He | zenon_intro zenon_H1e9 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 0.80/0.99 exact (zenon_H1e5 zenon_H1eb). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 0.80/0.99 exact (zenon_H1e6 zenon_H1ed). % 0.80/0.99 exact (zenon_H1ec zenon_H1e7). % 0.80/0.99 (* end of lemma zenon_L165_ *) % 0.80/0.99 assert (zenon_L166_ : ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H62. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.80/0.99 apply (zenon_L165_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H58 | zenon_intro zenon_H63 ]. % 0.80/0.99 apply (zenon_L27_); trivial. % 0.80/0.99 exact (zenon_H62 zenon_H63). % 0.80/0.99 (* end of lemma zenon_L166_ *) % 0.80/0.99 assert (zenon_L167_ : (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a836)) -> (c2_1 (a836)) -> (c3_1 (a836)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H131 zenon_Hf zenon_H1ca zenon_H1ee zenon_H1cb. % 0.80/0.99 generalize (zenon_H131 (a836)). zenon_intro zenon_H1ef. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_He | zenon_intro zenon_H1f0 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1f1 ]. % 0.80/0.99 exact (zenon_H1d1 zenon_H1ca). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1d0 ]. % 0.80/0.99 exact (zenon_H1f2 zenon_H1ee). % 0.80/0.99 exact (zenon_H1d0 zenon_H1cb). % 0.80/0.99 (* end of lemma zenon_L167_ *) % 0.80/0.99 assert (zenon_L168_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H86 zenon_Hf zenon_H1c9 zenon_H131 zenon_H1ca zenon_H1cb. % 0.80/0.99 generalize (zenon_H86 (a836)). zenon_intro zenon_H1f3. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_He | zenon_intro zenon_H1f4 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1f5 ]. % 0.80/0.99 exact (zenon_H1c9 zenon_H1cf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1d1 ]. % 0.80/0.99 apply (zenon_L167_); trivial. % 0.80/0.99 exact (zenon_H1d1 zenon_H1ca). % 0.80/0.99 (* end of lemma zenon_L168_ *) % 0.80/0.99 assert (zenon_L169_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H98 zenon_Hf zenon_H131 zenon_H1ca zenon_H1cb. % 0.80/0.99 generalize (zenon_H98 (a836)). zenon_intro zenon_H1f6. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_He | zenon_intro zenon_H1f7 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ce ]. % 0.80/0.99 apply (zenon_L167_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.80/0.99 exact (zenon_H1d1 zenon_H1ca). % 0.80/0.99 exact (zenon_H1d0 zenon_H1cb). % 0.80/0.99 (* end of lemma zenon_L169_ *) % 0.80/0.99 assert (zenon_L170_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a836))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H9d zenon_H1c9 zenon_H1cb zenon_H1ca zenon_H131 zenon_Hf zenon_H40. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.80/0.99 apply (zenon_L168_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.80/0.99 apply (zenon_L169_); trivial. % 0.80/0.99 exact (zenon_H40 zenon_H41). % 0.80/0.99 (* end of lemma zenon_L170_ *) % 0.80/0.99 assert (zenon_L171_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp4)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp3)) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c1_1 (a836))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp5)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H15f zenon_H1f8 zenon_H5 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H155 zenon_H40 zenon_H1ca zenon_H1cb zenon_H1c9 zenon_H9d zenon_H11b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/0.99 apply (zenon_L85_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/0.99 apply (zenon_L170_); trivial. % 0.80/0.99 exact (zenon_H11b zenon_H11c). % 0.80/0.99 (* end of lemma zenon_L171_ *) % 0.80/0.99 assert (zenon_L172_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfb zenon_Hf zenon_H1e5 zenon_H1fa zenon_H1e6 zenon_H1e7. % 0.80/0.99 generalize (zenon_Hfb (a838)). zenon_intro zenon_H1fb. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_He | zenon_intro zenon_H1fc ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1fd ]. % 0.80/0.99 exact (zenon_H1e5 zenon_H1eb). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ec ]. % 0.80/0.99 generalize (zenon_H1fa (a838)). zenon_intro zenon_H1ff. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_He | zenon_intro zenon_H200 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ]. % 0.80/0.99 exact (zenon_H1fe zenon_H202). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ed ]. % 0.80/0.99 exact (zenon_H1e5 zenon_H1eb). % 0.80/0.99 exact (zenon_H1e6 zenon_H1ed). % 0.80/0.99 exact (zenon_H1ec zenon_H1e7). % 0.80/0.99 (* end of lemma zenon_L172_ *) % 0.80/0.99 assert (zenon_L173_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H142 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1e7 zenon_H1e6 zenon_H1fa zenon_H1e5 zenon_Hf zenon_H12f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H144 ]. % 0.80/0.99 apply (zenon_L39_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hfb | zenon_intro zenon_H130 ]. % 0.80/0.99 apply (zenon_L172_); trivial. % 0.80/0.99 exact (zenon_H12f zenon_H130). % 0.80/0.99 (* end of lemma zenon_L173_ *) % 0.80/0.99 assert (zenon_L174_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(hskp31)) -> (ndr1_0) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp11)) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H203 zenon_H12f zenon_Hf zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H142 zenon_H2e zenon_H5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1fa | zenon_intro zenon_H204 ]. % 0.80/0.99 apply (zenon_L173_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H2f | zenon_intro zenon_H6 ]. % 0.80/0.99 exact (zenon_H2e zenon_H2f). % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L174_ *) % 0.80/0.99 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H13d zenon_H205 zenon_H114 zenon_H113 zenon_H112 zenon_H5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H111 | zenon_intro zenon_H206 ]. % 0.80/0.99 apply (zenon_L72_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H131 | zenon_intro zenon_H6 ]. % 0.80/0.99 apply (zenon_L80_); trivial. % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L175_ *) % 0.80/0.99 assert (zenon_L176_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11d zenon_H190 zenon_H143 zenon_H205 zenon_H142 zenon_H2e zenon_H5 zenon_H203 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H59 zenon_H5a zenon_H5b zenon_H64. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.99 apply (zenon_L166_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.99 apply (zenon_L174_); trivial. % 0.80/0.99 apply (zenon_L175_); trivial. % 0.80/0.99 (* end of lemma zenon_L176_ *) % 0.80/0.99 assert (zenon_L177_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H190 zenon_H110 zenon_H82 zenon_H7d zenon_H7a zenon_H10a zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H40 zenon_H56 zenon_H37 zenon_H38 zenon_H39 zenon_Hf9 zenon_Hf zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H59 zenon_H5a zenon_H5b zenon_H64. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.99 apply (zenon_L166_); trivial. % 0.80/0.99 apply (zenon_L71_); trivial. % 0.80/0.99 (* end of lemma zenon_L177_ *) % 0.80/0.99 assert (zenon_L178_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c0_1 (a853))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1bc zenon_H125 zenon_H124 zenon_H4a zenon_H123 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H11b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L141_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/0.99 apply (zenon_L156_); trivial. % 0.80/0.99 exact (zenon_H11b zenon_H11c). % 0.80/0.99 (* end of lemma zenon_L178_ *) % 0.80/0.99 assert (zenon_L179_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp5)) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp29)) -> (~(hskp3)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H56 zenon_H11b zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H123 zenon_H124 zenon_H125 zenon_H1bc zenon_H54 zenon_H40. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4a | zenon_intro zenon_H57 ]. % 0.80/0.99 apply (zenon_L178_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H41 ]. % 0.80/0.99 exact (zenon_H54 zenon_H55). % 0.80/0.99 exact (zenon_H40 zenon_H41). % 0.80/0.99 (* end of lemma zenon_L179_ *) % 0.80/0.99 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H194 zenon_H82 zenon_H7d zenon_H7a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1bc zenon_H11b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H40 zenon_H56. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/0.99 apply (zenon_L179_); trivial. % 0.80/0.99 apply (zenon_L48_); trivial. % 0.80/0.99 (* end of lemma zenon_L180_ *) % 0.80/0.99 assert (zenon_L181_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H197 zenon_H198 zenon_H193 zenon_H199 zenon_H1bc zenon_H11b zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hf9 zenon_H56 zenon_H40 zenon_H10a zenon_H7a zenon_H7d zenon_H82 zenon_H110 zenon_H190 zenon_H1 zenon_H5 zenon_H7 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c zenon_H18d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/0.99 apply (zenon_L4_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.99 apply (zenon_L177_); trivial. % 0.80/0.99 apply (zenon_L180_); trivial. % 0.80/0.99 (* end of lemma zenon_L181_ *) % 0.80/0.99 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H207 zenon_H198 zenon_H199 zenon_H82 zenon_H7d zenon_H7a zenon_H1bc zenon_H11b zenon_H40 zenon_H56 zenon_H10a zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c zenon_H18d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.99 apply (zenon_L128_); trivial. % 0.80/0.99 apply (zenon_L180_); trivial. % 0.80/0.99 (* end of lemma zenon_L182_ *) % 0.80/0.99 assert (zenon_L183_ : (forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H145 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/0.99 generalize (zenon_H145 (a833)). zenon_intro zenon_H20d. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_He | zenon_intro zenon_H20e ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.80/0.99 exact (zenon_H20a zenon_H210). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.80/0.99 exact (zenon_H212 zenon_H20b). % 0.80/0.99 exact (zenon_H211 zenon_H20c). % 0.80/0.99 (* end of lemma zenon_L183_ *) % 0.80/0.99 assert (zenon_L184_ : (~(hskp6)) -> (hskp6) -> False). % 0.80/0.99 do 0 intro. intros zenon_H213 zenon_H214. % 0.80/0.99 exact (zenon_H213 zenon_H214). % 0.80/0.99 (* end of lemma zenon_L184_ *) % 0.80/0.99 assert (zenon_L185_ : ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp6)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H215 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_Hd1 zenon_H213. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H145 | zenon_intro zenon_H216 ]. % 0.80/0.99 apply (zenon_L183_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H214 ]. % 0.80/0.99 exact (zenon_Hd1 zenon_Hd2). % 0.80/0.99 exact (zenon_H213 zenon_H214). % 0.80/0.99 (* end of lemma zenon_L185_ *) % 0.80/0.99 assert (zenon_L186_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp1)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11d zenon_H217 zenon_H39 zenon_H38 zenon_H37 zenon_H1c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H111 | zenon_intro zenon_H218 ]. % 0.80/0.99 apply (zenon_L72_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H36 | zenon_intro zenon_H1d ]. % 0.80/0.99 apply (zenon_L18_); trivial. % 0.80/0.99 exact (zenon_H1c zenon_H1d). % 0.80/0.99 (* end of lemma zenon_L186_ *) % 0.80/0.99 assert (zenon_L187_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H197 zenon_H219 zenon_H217 zenon_H1c zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H215. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/0.99 apply (zenon_L185_); trivial. % 0.80/0.99 apply (zenon_L186_); trivial. % 0.80/0.99 (* end of lemma zenon_L187_ *) % 0.80/0.99 assert (zenon_L188_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/0.99 do 0 intro. intros zenon_He7 zenon_Hf zenon_H21a zenon_H20b zenon_H20c. % 0.80/0.99 generalize (zenon_He7 (a833)). zenon_intro zenon_H21b. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_He | zenon_intro zenon_H21c ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21d | zenon_intro zenon_H20f ]. % 0.80/0.99 exact (zenon_H21a zenon_H21d). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.80/0.99 exact (zenon_H212 zenon_H20b). % 0.80/0.99 exact (zenon_H211 zenon_H20c). % 0.80/0.99 (* end of lemma zenon_L188_ *) % 0.80/0.99 assert (zenon_L189_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c2_1 (a833)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H70 zenon_Hf zenon_H20b zenon_He7 zenon_H20c. % 0.80/0.99 generalize (zenon_H70 (a833)). zenon_intro zenon_H21e. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_He | zenon_intro zenon_H21f ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H212 | zenon_intro zenon_H220 ]. % 0.80/0.99 exact (zenon_H212 zenon_H20b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21a | zenon_intro zenon_H211 ]. % 0.80/0.99 apply (zenon_L188_); trivial. % 0.80/0.99 exact (zenon_H211 zenon_H20c). % 0.80/0.99 (* end of lemma zenon_L189_ *) % 0.80/0.99 assert (zenon_L190_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp25)) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c2_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1c7 zenon_H1a zenon_H8a zenon_H89 zenon_H88 zenon_Hb9 zenon_H20c zenon_He7 zenon_H20b zenon_Hf zenon_Hcf. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/0.99 apply (zenon_L106_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/0.99 apply (zenon_L189_); trivial. % 0.80/0.99 exact (zenon_Hcf zenon_Hd0). % 0.80/0.99 (* end of lemma zenon_L190_ *) % 0.80/0.99 assert (zenon_L191_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp30)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(hskp25)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hf1 zenon_Hcf zenon_H20b zenon_H20c zenon_Hb9 zenon_H88 zenon_H89 zenon_H8a zenon_H1a zenon_H1c7 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/0.99 apply (zenon_L190_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/0.99 apply (zenon_L27_); trivial. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L191_ *) % 0.80/0.99 assert (zenon_L192_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (c2_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1c7 zenon_H89 zenon_H8a zenon_H10 zenon_H20c zenon_He7 zenon_H20b zenon_Hf zenon_Hcf. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/0.99 apply (zenon_L105_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/0.99 apply (zenon_L189_); trivial. % 0.80/0.99 exact (zenon_Hcf zenon_Hd0). % 0.80/0.99 (* end of lemma zenon_L192_ *) % 0.80/0.99 assert (zenon_L193_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp30)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hf1 zenon_Hcf zenon_H20b zenon_H20c zenon_H10 zenon_H8a zenon_H89 zenon_H1c7 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/0.99 apply (zenon_L192_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/0.99 apply (zenon_L27_); trivial. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L193_ *) % 0.80/0.99 assert (zenon_L194_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(hskp30)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H9 zenon_Hf zenon_H59 zenon_H5a zenon_H5b zenon_H1c7 zenon_H89 zenon_H8a zenon_H20c zenon_H20b zenon_Hcf zenon_Hf1 zenon_H2e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/0.99 apply (zenon_L14_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/0.99 apply (zenon_L193_); trivial. % 0.80/0.99 exact (zenon_H2e zenon_H2f). % 0.80/0.99 (* end of lemma zenon_L194_ *) % 0.80/0.99 assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c2_1 (a863))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_H1c7 zenon_H20c zenon_H20b zenon_H89 zenon_H8a zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H88 zenon_Hdf zenon_He2 zenon_He6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/0.99 apply (zenon_L194_); trivial. % 0.80/0.99 apply (zenon_L56_); trivial. % 0.80/0.99 apply (zenon_L16_); trivial. % 0.80/0.99 (* end of lemma zenon_L195_ *) % 0.80/0.99 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Had zenon_H12e zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H20b zenon_H20c zenon_H1c7 zenon_He2 zenon_Hf4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.99 apply (zenon_L104_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/0.99 apply (zenon_L191_); trivial. % 0.80/0.99 apply (zenon_L93_); trivial. % 0.80/0.99 apply (zenon_L101_); trivial. % 0.80/0.99 apply (zenon_L195_); trivial. % 0.80/0.99 apply (zenon_L112_); trivial. % 0.80/0.99 (* end of lemma zenon_L196_ *) % 0.80/0.99 assert (zenon_L197_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H193 zenon_H190 zenon_H12e zenon_H162 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H30 zenon_H2e zenon_H12c zenon_H32 zenon_Hf1 zenon_H20b zenon_H20c zenon_H1c7 zenon_He2 zenon_Hf4 zenon_H166 zenon_H165 zenon_H164 zenon_H163 zenon_H1 zenon_H5 zenon_H7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/0.99 apply (zenon_L4_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.99 apply (zenon_L91_); trivial. % 0.80/0.99 apply (zenon_L196_); trivial. % 0.80/0.99 (* end of lemma zenon_L197_ *) % 0.80/0.99 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a833))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H219 zenon_H217 zenon_H1c zenon_H20a zenon_H213 zenon_H215 zenon_H7 zenon_H5 zenon_H1 zenon_H163 zenon_Hf4 zenon_He2 zenon_H1c7 zenon_H20c zenon_H20b zenon_Hf1 zenon_H32 zenon_H12c zenon_H30 zenon_H16f zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H162 zenon_H12e zenon_H190 zenon_H193. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/0.99 apply (zenon_L197_); trivial. % 0.80/0.99 apply (zenon_L187_); trivial. % 0.80/0.99 (* end of lemma zenon_L198_ *) % 0.80/0.99 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10c zenon_H224 zenon_H114 zenon_H113 zenon_H112 zenon_H7a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/0.99 apply (zenon_L72_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/0.99 apply (zenon_L86_); trivial. % 0.80/0.99 exact (zenon_H7a zenon_H7b). % 0.80/0.99 (* end of lemma zenon_L199_ *) % 0.80/0.99 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H207 zenon_H219 zenon_H110 zenon_H224 zenon_H7a zenon_H5 zenon_H1a8 zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H215. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/0.99 apply (zenon_L185_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/0.99 apply (zenon_L124_); trivial. % 0.80/0.99 apply (zenon_L199_); trivial. % 0.80/0.99 (* end of lemma zenon_L200_ *) % 0.80/0.99 assert (zenon_L201_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H19c zenon_H155 zenon_H20c zenon_H20b zenon_H20a zenon_H5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H65 | zenon_intro zenon_H156 ]. % 0.80/0.99 apply (zenon_L47_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H145 | zenon_intro zenon_H6 ]. % 0.80/0.99 apply (zenon_L183_); trivial. % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L201_ *) % 0.80/0.99 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H226 zenon_H198 zenon_H155 zenon_H5 zenon_H20c zenon_H20b zenon_H20a zenon_H1c zenon_H18d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_L201_); trivial. % 0.80/0.99 (* end of lemma zenon_L202_ *) % 0.80/0.99 assert (zenon_L203_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1fa zenon_Hf zenon_H229 zenon_H22a zenon_H22b. % 0.80/0.99 generalize (zenon_H1fa (a835)). zenon_intro zenon_H22c. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_He | zenon_intro zenon_H22d ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.80/0.99 exact (zenon_H229 zenon_H22f). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ]. % 0.80/0.99 exact (zenon_H22a zenon_H231). % 0.80/0.99 exact (zenon_H22b zenon_H230). % 0.80/0.99 (* end of lemma zenon_L203_ *) % 0.80/0.99 assert (zenon_L204_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H203 zenon_H22b zenon_H22a zenon_H229 zenon_Hf zenon_H2e zenon_H5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1fa | zenon_intro zenon_H204 ]. % 0.80/0.99 apply (zenon_L203_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H2f | zenon_intro zenon_H6 ]. % 0.80/0.99 exact (zenon_H2e zenon_H2f). % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L204_ *) % 0.80/0.99 assert (zenon_L205_ : (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (~(c0_1 (a835))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H232 zenon_Hf zenon_H168 zenon_H229 zenon_H22b zenon_H22a. % 0.80/0.99 generalize (zenon_H232 (a835)). zenon_intro zenon_H233. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_He | zenon_intro zenon_H234 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H235 | zenon_intro zenon_H22e ]. % 0.80/0.99 generalize (zenon_H168 (a835)). zenon_intro zenon_H236. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_He | zenon_intro zenon_H237 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H22f | zenon_intro zenon_H238 ]. % 0.80/0.99 exact (zenon_H229 zenon_H22f). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H230 | zenon_intro zenon_H239 ]. % 0.80/0.99 exact (zenon_H22b zenon_H230). % 0.80/0.99 exact (zenon_H239 zenon_H235). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ]. % 0.80/0.99 exact (zenon_H22a zenon_H231). % 0.80/0.99 exact (zenon_H22b zenon_H230). % 0.80/0.99 (* end of lemma zenon_L205_ *) % 0.80/0.99 assert (zenon_L206_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp2)) -> (~(hskp9)) -> (ndr1_0) -> (~(c0_1 (a835))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp17)) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H163 zenon_H7a zenon_H1 zenon_Hf zenon_H229 zenon_H22b zenon_H22a zenon_H23a zenon_H62 zenon_H5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H232 | zenon_intro zenon_H23b ]. % 0.80/0.99 apply (zenon_L205_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H2 | zenon_intro zenon_H7b ]. % 0.80/0.99 exact (zenon_H1 zenon_H2). % 0.80/0.99 exact (zenon_H7a zenon_H7b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H63 | zenon_intro zenon_H6 ]. % 0.80/0.99 exact (zenon_H62 zenon_H63). % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L206_ *) % 0.80/0.99 assert (zenon_L207_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(c0_1 (a835))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H23a zenon_H7a zenon_H1 zenon_H22a zenon_H22b zenon_H229 zenon_Hf zenon_H5 zenon_H163. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/0.99 apply (zenon_L206_); trivial. % 0.80/0.99 apply (zenon_L41_); trivial. % 0.80/0.99 (* end of lemma zenon_L207_ *) % 0.80/0.99 assert (zenon_L208_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a835))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H197 zenon_H198 zenon_H155 zenon_H20c zenon_H20b zenon_H20a zenon_H163 zenon_H5 zenon_H229 zenon_H22b zenon_H22a zenon_H1 zenon_H7a zenon_H23a zenon_Hae zenon_H190. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L207_); trivial. % 0.80/0.99 apply (zenon_L201_); trivial. % 0.80/0.99 (* end of lemma zenon_L208_ *) % 0.80/0.99 assert (zenon_L209_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H197 zenon_H198 zenon_H155 zenon_H20c zenon_H20b zenon_H20a zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/0.99 apply (zenon_L127_); trivial. % 0.80/0.99 apply (zenon_L201_); trivial. % 0.80/0.99 (* end of lemma zenon_L209_ *) % 0.80/0.99 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(c0_1 (a835))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H198 zenon_H155 zenon_H20c zenon_H20b zenon_H20a zenon_H110 zenon_H96 zenon_H1a8 zenon_Hae zenon_H190 zenon_H229 zenon_H22a zenon_H22b zenon_H5 zenon_H203. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/0.99 apply (zenon_L204_); trivial. % 0.80/0.99 apply (zenon_L209_); trivial. % 0.80/0.99 (* end of lemma zenon_L210_ *) % 0.80/0.99 assert (zenon_L211_ : ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((hskp28)\/(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H23c zenon_H96 zenon_H203 zenon_Hae zenon_H23a zenon_H23d zenon_H110 zenon_H224 zenon_H7a zenon_H1a8 zenon_H1aa zenon_H219 zenon_H217 zenon_H20a zenon_H20b zenon_H20c zenon_H215 zenon_H23 zenon_H1f zenon_H1c zenon_Hd zenon_H30 zenon_H32 zenon_H193 zenon_H190 zenon_H12e zenon_H162 zenon_H17a zenon_Hb9 zenon_He6 zenon_H171 zenon_H16f zenon_H12c zenon_Hf1 zenon_H1c7 zenon_He2 zenon_Hf4 zenon_H163 zenon_H5 zenon_H7 zenon_H23e zenon_H18d zenon_H155 zenon_H198 zenon_H23f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/0.99 apply (zenon_L17_); trivial. % 0.80/0.99 apply (zenon_L187_); trivial. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_L200_); trivial. % 0.80/0.99 apply (zenon_L202_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/0.99 apply (zenon_L204_); trivial. % 0.80/0.99 apply (zenon_L208_); trivial. % 0.80/0.99 apply (zenon_L210_); trivial. % 0.80/0.99 (* end of lemma zenon_L211_ *) % 0.80/0.99 assert (zenon_L212_ : (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H232 zenon_Hf zenon_H243 zenon_H244 zenon_H245. % 0.80/0.99 generalize (zenon_H232 (a832)). zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_He | zenon_intro zenon_H247 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 0.80/0.99 exact (zenon_H243 zenon_H249). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.80/0.99 exact (zenon_H244 zenon_H24b). % 0.80/0.99 exact (zenon_H245 zenon_H24a). % 0.80/0.99 (* end of lemma zenon_L212_ *) % 0.80/0.99 assert (zenon_L213_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H23a zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H1 zenon_H7a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H232 | zenon_intro zenon_H23b ]. % 0.80/0.99 apply (zenon_L212_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H2 | zenon_intro zenon_H7b ]. % 0.80/0.99 exact (zenon_H1 zenon_H2). % 0.80/0.99 exact (zenon_H7a zenon_H7b). % 0.80/0.99 (* end of lemma zenon_L213_ *) % 0.80/0.99 assert (zenon_L214_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp19)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H12f zenon_H44. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H232 | zenon_intro zenon_H24d ]. % 0.80/0.99 apply (zenon_L212_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H130 | zenon_intro zenon_H45 ]. % 0.80/0.99 exact (zenon_H12f zenon_H130). % 0.80/0.99 exact (zenon_H44 zenon_H45). % 0.80/0.99 (* end of lemma zenon_L214_ *) % 0.80/0.99 assert (zenon_L215_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a875))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H188 zenon_Hf zenon_H1c6 zenon_H132 zenon_H134. % 0.80/0.99 generalize (zenon_H188 (a875)). zenon_intro zenon_H1c0. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_He | zenon_intro zenon_H1c1 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.80/0.99 exact (zenon_H1c6 zenon_H1c3). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ]. % 0.80/0.99 exact (zenon_H138 zenon_H132). % 0.80/0.99 exact (zenon_H139 zenon_H134). % 0.80/0.99 (* end of lemma zenon_L215_ *) % 0.80/0.99 assert (zenon_L216_ : (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a875)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c3_1 (a875)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10 zenon_Hf zenon_H132 zenon_H188 zenon_H134. % 0.80/0.99 generalize (zenon_H10 (a875)). zenon_intro zenon_H24e. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_He | zenon_intro zenon_H24f ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H138 | zenon_intro zenon_H250 ]. % 0.80/0.99 exact (zenon_H138 zenon_H132). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H139 ]. % 0.80/0.99 apply (zenon_L215_); trivial. % 0.80/0.99 exact (zenon_H139 zenon_H134). % 0.80/0.99 (* end of lemma zenon_L216_ *) % 0.80/0.99 assert (zenon_L217_ : ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (c3_1 (a875)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a875)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp25)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H251 zenon_H134 zenon_H188 zenon_H132 zenon_Hf zenon_H252 zenon_H1a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H10 | zenon_intro zenon_H253 ]. % 0.80/0.99 apply (zenon_L216_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_H1b ]. % 0.80/0.99 exact (zenon_H252 zenon_H254). % 0.80/0.99 exact (zenon_H1a zenon_H1b). % 0.80/0.99 (* end of lemma zenon_L217_ *) % 0.80/0.99 assert (zenon_L218_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (~(hskp27)) -> (~(hskp25)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H143 zenon_H18d zenon_H1c zenon_Hab zenon_H252 zenon_H1a zenon_H251 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.80/0.99 apply (zenon_L217_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.80/0.99 exact (zenon_Hab zenon_Hac). % 0.80/0.99 exact (zenon_H1c zenon_H1d). % 0.80/0.99 (* end of lemma zenon_L218_ *) % 0.80/0.99 assert (zenon_L219_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c0_1 (a919))) -> (c2_1 (a919)) -> (c3_1 (a919)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1b3 zenon_Hf zenon_H255 zenon_H256 zenon_H257. % 0.80/0.99 generalize (zenon_H1b3 (a919)). zenon_intro zenon_H258. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_He | zenon_intro zenon_H259 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 0.80/0.99 exact (zenon_H255 zenon_H25b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 0.80/0.99 exact (zenon_H25d zenon_H256). % 0.80/0.99 exact (zenon_H25c zenon_H257). % 0.80/0.99 (* end of lemma zenon_L219_ *) % 0.80/0.99 assert (zenon_L220_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H25e zenon_H1bc zenon_H11b zenon_H1f zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H251 zenon_H1a zenon_Hab zenon_H1c zenon_H18d zenon_H143. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H252 | zenon_intro zenon_H25f ]. % 0.80/0.99 apply (zenon_L218_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hf. zenon_intro zenon_H260. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H256. zenon_intro zenon_H261. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H257. zenon_intro zenon_H255. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L219_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H10 | zenon_intro zenon_H22 ]. % 0.80/0.99 apply (zenon_L216_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d ]. % 0.80/0.99 exact (zenon_H1a zenon_H1b). % 0.80/0.99 exact (zenon_H1c zenon_H1d). % 0.80/0.99 exact (zenon_H11b zenon_H11c). % 0.80/0.99 (* end of lemma zenon_L220_ *) % 0.80/0.99 assert (zenon_L221_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H32 zenon_He6 zenon_H12c zenon_Hdf zenon_H2e zenon_H30 zenon_H13b zenon_H16f zenon_H143 zenon_H18d zenon_H1c zenon_Hab zenon_H251 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c zenon_H1f zenon_H11b zenon_H1bc zenon_H25e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/0.99 apply (zenon_L220_); trivial. % 0.80/0.99 apply (zenon_L97_); trivial. % 0.80/0.99 (* end of lemma zenon_L221_ *) % 0.80/0.99 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf1 zenon_Hea zenon_He9 zenon_He8 zenon_H11b zenon_H1f8 zenon_H143. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/0.99 apply (zenon_L132_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/0.99 apply (zenon_L80_); trivial. % 0.80/0.99 exact (zenon_H11b zenon_H11c). % 0.80/0.99 apply (zenon_L16_); trivial. % 0.80/0.99 (* end of lemma zenon_L222_ *) % 0.80/0.99 assert (zenon_L223_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H143 zenon_H13e zenon_H13b zenon_H125 zenon_H124 zenon_H123 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_L82_); trivial. % 0.80/0.99 (* end of lemma zenon_L223_ *) % 0.80/0.99 assert (zenon_L224_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a868))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_Hf zenon_H14f zenon_H146 zenon_H149. % 0.80/0.99 generalize (zenon_H24 (a868)). zenon_intro zenon_H262. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_He | zenon_intro zenon_H263 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H153 | zenon_intro zenon_H17f ]. % 0.80/0.99 exact (zenon_H14f zenon_H153). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H14d | zenon_intro zenon_H14e ]. % 0.80/0.99 exact (zenon_H146 zenon_H14d). % 0.80/0.99 exact (zenon_H14e zenon_H149). % 0.80/0.99 (* end of lemma zenon_L224_ *) % 0.80/0.99 assert (zenon_L225_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a868))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> False). % 0.80/0.99 do 0 intro. intros zenon_He7 zenon_Hf zenon_H148 zenon_H24 zenon_H146 zenon_H149. % 0.80/0.99 generalize (zenon_He7 (a868)). zenon_intro zenon_H264. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_He | zenon_intro zenon_H265 ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H154 | zenon_intro zenon_H14c ]. % 0.80/0.99 exact (zenon_H148 zenon_H154). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.80/0.99 apply (zenon_L224_); trivial. % 0.80/0.99 exact (zenon_H14e zenon_H149). % 0.80/0.99 (* end of lemma zenon_L225_ *) % 0.80/0.99 assert (zenon_L226_ : (forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c3_1 (a868))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (c2_1 (a868)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H145 zenon_Hf zenon_H146 zenon_H24 zenon_H149. % 0.80/0.99 generalize (zenon_H145 (a868)). zenon_intro zenon_H14a. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_He | zenon_intro zenon_H14b ]. % 0.80/0.99 exact (zenon_He zenon_Hf). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.80/0.99 exact (zenon_H146 zenon_H14d). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.80/0.99 apply (zenon_L224_); trivial. % 0.80/0.99 exact (zenon_H14e zenon_H149). % 0.80/0.99 (* end of lemma zenon_L226_ *) % 0.80/0.99 assert (zenon_L227_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c1_1 (a868))) -> (ndr1_0) -> (~(c3_1 (a868))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (c2_1 (a868)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H148 zenon_Hf zenon_H146 zenon_H24 zenon_H149. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/0.99 apply (zenon_L212_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/0.99 apply (zenon_L225_); trivial. % 0.80/0.99 apply (zenon_L226_); trivial. % 0.80/0.99 (* end of lemma zenon_L227_ *) % 0.80/0.99 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a868)) -> (~(c3_1 (a868))) -> (~(c1_1 (a868))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp11)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1e zenon_H30 zenon_H149 zenon_H146 zenon_H148 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H2e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/0.99 apply (zenon_L227_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/0.99 apply (zenon_L9_); trivial. % 0.80/0.99 exact (zenon_H2e zenon_H2f). % 0.80/0.99 (* end of lemma zenon_L228_ *) % 0.80/0.99 assert (zenon_L229_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H15f zenon_H23 zenon_H30 zenon_H2e zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H15b zenon_H17a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/0.99 apply (zenon_L98_); trivial. % 0.80/0.99 apply (zenon_L228_); trivial. % 0.80/0.99 (* end of lemma zenon_L229_ *) % 0.80/0.99 assert (zenon_L230_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_H23 zenon_H30 zenon_H2e zenon_H266 zenon_H15b zenon_H17a zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/0.99 apply (zenon_L223_); trivial. % 0.80/0.99 apply (zenon_L229_); trivial. % 0.80/0.99 (* end of lemma zenon_L230_ *) % 0.80/0.99 assert (zenon_L231_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H194 zenon_H12e zenon_Hf1 zenon_H9d zenon_H15d zenon_H162 zenon_H23 zenon_H30 zenon_H2e zenon_H266 zenon_H15b zenon_H17a zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H143 zenon_H82 zenon_H1be zenon_H3 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H40 zenon_H56 zenon_H12c zenon_H32 zenon_Hf4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.99 apply (zenon_L230_); trivial. % 0.80/0.99 apply (zenon_L145_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/0.99 apply (zenon_L230_); trivial. % 0.80/0.99 apply (zenon_L146_); trivial. % 0.80/0.99 (* end of lemma zenon_L231_ *) % 0.80/0.99 assert (zenon_L232_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H199 zenon_H12e zenon_Hf1 zenon_H9d zenon_H15d zenon_H162 zenon_H23 zenon_H30 zenon_H2e zenon_H266 zenon_H15b zenon_H17a zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H143 zenon_H82 zenon_H1be zenon_H3 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H40 zenon_H56 zenon_H12c zenon_H32 zenon_Hf4 zenon_Hf zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/0.99 apply (zenon_L128_); trivial. % 0.80/0.99 apply (zenon_L231_); trivial. % 0.80/0.99 (* end of lemma zenon_L232_ *) % 0.80/0.99 assert (zenon_L233_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_H12c zenon_Hdf zenon_H266 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/0.99 apply (zenon_L223_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/0.99 apply (zenon_L227_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/0.99 apply (zenon_L75_); trivial. % 0.80/0.99 exact (zenon_Hdf zenon_He0). % 0.80/0.99 (* end of lemma zenon_L233_ *) % 0.80/0.99 assert (zenon_L234_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf4 zenon_He6 zenon_He2 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H143 zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_Hdf zenon_H12c zenon_H162. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L233_); trivial. % 0.80/1.00 apply (zenon_L57_); trivial. % 0.80/1.00 (* end of lemma zenon_L234_ *) % 0.80/1.00 assert (zenon_L235_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (ndr1_0) -> (~(c3_1 (a868))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c1_1 (a868))) -> (c2_1 (a868)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_Hea zenon_He9 zenon_He8 zenon_Hf zenon_H146 zenon_H147 zenon_H148 zenon_H149. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_L84_); trivial. % 0.80/1.00 (* end of lemma zenon_L235_ *) % 0.80/1.00 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (c2_1 (a868)) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp5)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H13d zenon_H1f8 zenon_H149 zenon_H148 zenon_H146 zenon_He8 zenon_He9 zenon_Hea zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H11b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.00 apply (zenon_L235_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 exact (zenon_H11b zenon_H11c). % 0.80/1.00 (* end of lemma zenon_L236_ *) % 0.80/1.00 assert (zenon_L237_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H15f zenon_H143 zenon_H1f8 zenon_H11b zenon_He8 zenon_He9 zenon_Hea zenon_H266 zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L214_); trivial. % 0.80/1.00 apply (zenon_L236_); trivial. % 0.80/1.00 (* end of lemma zenon_L237_ *) % 0.80/1.00 assert (zenon_L238_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H1f8 zenon_H11b zenon_He8 zenon_He9 zenon_Hea zenon_H266 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.00 apply (zenon_L223_); trivial. % 0.80/1.00 apply (zenon_L237_); trivial. % 0.80/1.00 (* end of lemma zenon_L238_ *) % 0.80/1.00 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (~(hskp25)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e zenon_Hb9 zenon_H89 zenon_H8a zenon_H88 zenon_H1a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H98 | zenon_intro zenon_Hba ]. % 0.80/1.00 apply (zenon_L37_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H10 | zenon_intro zenon_H1b ]. % 0.80/1.00 apply (zenon_L9_); trivial. % 0.80/1.00 exact (zenon_H1a zenon_H1b). % 0.80/1.00 (* end of lemma zenon_L239_ *) % 0.80/1.00 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H9c zenon_H32 zenon_H30 zenon_H2e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hea zenon_He9 zenon_He8 zenon_Hb9 zenon_H23. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.00 apply (zenon_L59_); trivial. % 0.80/1.00 apply (zenon_L239_); trivial. % 0.80/1.00 apply (zenon_L111_); trivial. % 0.80/1.00 (* end of lemma zenon_L240_ *) % 0.80/1.00 assert (zenon_L241_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H143 zenon_H268 zenon_H40 zenon_H114 zenon_H113 zenon_H112 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L214_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H111 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L72_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H131 | zenon_intro zenon_H41 ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 exact (zenon_H40 zenon_H41). % 0.80/1.00 (* end of lemma zenon_L241_ *) % 0.80/1.00 assert (zenon_L242_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H11d zenon_Hf4 zenon_H224 zenon_H7a zenon_H9d zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H40 zenon_H268 zenon_H143. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L241_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/1.00 apply (zenon_L72_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/1.00 apply (zenon_L137_); trivial. % 0.80/1.00 exact (zenon_H7a zenon_H7b). % 0.80/1.00 (* end of lemma zenon_L242_ *) % 0.80/1.00 assert (zenon_L243_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H19c zenon_H193 zenon_H219 zenon_H224 zenon_H7a zenon_H268 zenon_He6 zenon_He2 zenon_Hd3 zenon_H1f8 zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf4 zenon_H32 zenon_H12c zenon_H56 zenon_H40 zenon_Hb9 zenon_H11b zenon_H1bc zenon_H1be zenon_H82 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H17a zenon_H15b zenon_H266 zenon_H2e zenon_H30 zenon_H23 zenon_H162 zenon_H15d zenon_H9d zenon_Hf1 zenon_H12e zenon_H199. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.00 apply (zenon_L232_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.00 apply (zenon_L128_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.00 apply (zenon_L234_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L238_); trivial. % 0.80/1.00 apply (zenon_L240_); trivial. % 0.80/1.00 apply (zenon_L242_); trivial. % 0.80/1.00 (* end of lemma zenon_L243_ *) % 0.80/1.00 assert (zenon_L244_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H188 zenon_Hf zenon_H37 zenon_H65 zenon_H38 zenon_H39. % 0.80/1.00 generalize (zenon_H188 (a844)). zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_He | zenon_intro zenon_H26b ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H3d | zenon_intro zenon_Hb8 ]. % 0.80/1.00 exact (zenon_H37 zenon_H3d). % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H3e ]. % 0.80/1.00 apply (zenon_L42_); trivial. % 0.80/1.00 exact (zenon_H3e zenon_H39). % 0.80/1.00 (* end of lemma zenon_L244_ *) % 0.80/1.00 assert (zenon_L245_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp17)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf4 zenon_H9d zenon_H40 zenon_H37 zenon_H38 zenon_H39 zenon_H62 zenon_H96 zenon_H143 zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_Hdf zenon_H12c zenon_H162. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L233_); trivial. % 0.80/1.00 apply (zenon_L38_); trivial. % 0.80/1.00 (* end of lemma zenon_L245_ *) % 0.80/1.00 assert (zenon_L246_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H12e zenon_H11b zenon_H1f8 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143 zenon_H96 zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.00 apply (zenon_L245_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L238_); trivial. % 0.80/1.00 apply (zenon_L38_); trivial. % 0.80/1.00 (* end of lemma zenon_L246_ *) % 0.80/1.00 assert (zenon_L247_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H194 zenon_H190 zenon_Hae zenon_Hab zenon_Hf4 zenon_H9d zenon_H40 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_H12c zenon_H162 zenon_H1f8 zenon_H11b zenon_H12e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.00 apply (zenon_L246_); trivial. % 0.80/1.00 apply (zenon_L41_); trivial. % 0.80/1.00 (* end of lemma zenon_L247_ *) % 0.80/1.00 assert (zenon_L248_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H15f zenon_H143 zenon_H1f8 zenon_H11b zenon_H243 zenon_H244 zenon_H245 zenon_He8 zenon_He9 zenon_Hea zenon_H266 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L149_); trivial. % 0.80/1.00 apply (zenon_L236_); trivial. % 0.80/1.00 (* end of lemma zenon_L248_ *) % 0.80/1.00 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf3 zenon_H162 zenon_H1f8 zenon_H11b zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_Hf9 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H39 zenon_H38 zenon_H37 zenon_H143 zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_H142 zenon_H40 zenon_H56 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H7a zenon_H7d zenon_H82 zenon_H110. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.00 apply (zenon_L83_); trivial. % 0.80/1.00 apply (zenon_L248_); trivial. % 0.80/1.00 (* end of lemma zenon_L249_ *) % 0.80/1.00 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Had zenon_H12e zenon_H1f8 zenon_H11b zenon_H19f zenon_H1a0 zenon_H1a1 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H142 zenon_H40 zenon_H56 zenon_H7a zenon_H7d zenon_H82 zenon_H110 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143 zenon_Hd3 zenon_Hd1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_He2 zenon_He6 zenon_Hf4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.00 apply (zenon_L234_); trivial. % 0.80/1.00 apply (zenon_L249_); trivial. % 0.80/1.00 (* end of lemma zenon_L250_ *) % 0.80/1.00 assert (zenon_L251_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H197 zenon_H198 zenon_H219 zenon_H217 zenon_He6 zenon_He2 zenon_Hd3 zenon_H110 zenon_H82 zenon_H7d zenon_H7a zenon_H56 zenon_H142 zenon_Hf9 zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H1c zenon_H18d zenon_H12e zenon_H11b zenon_H1f8 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H143 zenon_H96 zenon_H40 zenon_H9d zenon_Hf4 zenon_Hae zenon_H190 zenon_H199. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.80/1.00 apply (zenon_L244_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.80/1.00 exact (zenon_Hab zenon_Hac). % 0.80/1.00 exact (zenon_H1c zenon_H1d). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.80/1.00 apply (zenon_L123_); trivial. % 0.80/1.00 exact (zenon_H108 zenon_H109). % 0.80/1.00 apply (zenon_L247_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.00 apply (zenon_L128_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.00 apply (zenon_L246_); trivial. % 0.80/1.00 apply (zenon_L250_); trivial. % 0.80/1.00 apply (zenon_L186_); trivial. % 0.80/1.00 (* end of lemma zenon_L251_ *) % 0.80/1.00 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H226 zenon_H23d zenon_H198 zenon_H199 zenon_H82 zenon_H7d zenon_H1bc zenon_H11b zenon_H40 zenon_H56 zenon_H10a zenon_H1c zenon_H18d zenon_H243 zenon_H244 zenon_H245 zenon_H7a zenon_H23a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.00 apply (zenon_L213_); trivial. % 0.80/1.00 apply (zenon_L182_); trivial. % 0.80/1.00 (* end of lemma zenon_L252_ *) % 0.80/1.00 assert (zenon_L253_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c3_1 (a841)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H87 zenon_Hf zenon_H19f zenon_H1a1 zenon_H26c. % 0.80/1.00 generalize (zenon_H87 (a841)). zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_He | zenon_intro zenon_H26e ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H26f ]. % 0.80/1.00 exact (zenon_H19f zenon_H1a5). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H270 ]. % 0.80/1.00 exact (zenon_H1a6 zenon_H1a1). % 0.80/1.00 exact (zenon_H270 zenon_H26c). % 0.80/1.00 (* end of lemma zenon_L253_ *) % 0.80/1.00 assert (zenon_L254_ : (forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92)))))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a841)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H67 zenon_Hf zenon_H19f zenon_H87 zenon_H1a1. % 0.80/1.00 generalize (zenon_H67 (a841)). zenon_intro zenon_H271. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_He | zenon_intro zenon_H272 ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H273 ]. % 0.80/1.00 exact (zenon_H19f zenon_H1a5). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H26c | zenon_intro zenon_H1a6 ]. % 0.80/1.00 apply (zenon_L253_); trivial. % 0.80/1.00 exact (zenon_H1a6 zenon_H1a1). % 0.80/1.00 (* end of lemma zenon_L254_ *) % 0.80/1.00 assert (zenon_L255_ : (forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84)))))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H58 zenon_Hf zenon_H20a zenon_He7 zenon_H20b zenon_H20c. % 0.80/1.00 generalize (zenon_H58 (a833)). zenon_intro zenon_H274. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_He | zenon_intro zenon_H275 ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H210 | zenon_intro zenon_H220 ]. % 0.80/1.00 exact (zenon_H20a zenon_H210). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21a | zenon_intro zenon_H211 ]. % 0.80/1.00 apply (zenon_L188_); trivial. % 0.80/1.00 exact (zenon_H211 zenon_H20c). % 0.80/1.00 (* end of lemma zenon_L255_ *) % 0.80/1.00 assert (zenon_L256_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp17)) -> (~(c2_1 (a841))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a841)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H62 zenon_H19f zenon_H87 zenon_H1a1 zenon_H64 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.80/1.00 apply (zenon_L254_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H58 | zenon_intro zenon_H63 ]. % 0.80/1.00 apply (zenon_L255_); trivial. % 0.80/1.00 exact (zenon_H62 zenon_H63). % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L256_ *) % 0.80/1.00 assert (zenon_L257_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (~(hskp17)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp2)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H224 zenon_H114 zenon_H113 zenon_H112 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H64 zenon_H1a1 zenon_H19f zenon_H62 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H7a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/1.00 apply (zenon_L72_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/1.00 apply (zenon_L256_); trivial. % 0.80/1.00 exact (zenon_H7a zenon_H7b). % 0.80/1.00 (* end of lemma zenon_L257_ *) % 0.80/1.00 assert (zenon_L258_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c2_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c7 zenon_H132 zenon_H134 zenon_H133 zenon_Hd5 zenon_H20c zenon_He7 zenon_H20b zenon_Hf zenon_Hcf. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/1.00 apply (zenon_L150_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/1.00 apply (zenon_L189_); trivial. % 0.80/1.00 exact (zenon_Hcf zenon_Hd0). % 0.80/1.00 (* end of lemma zenon_L258_ *) % 0.80/1.00 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp25)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp30)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H13d zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H1a zenon_H1c7 zenon_Hcf zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.80/1.00 apply (zenon_L39_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.80/1.00 apply (zenon_L258_); trivial. % 0.80/1.00 exact (zenon_H1a zenon_H1b). % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L259_ *) % 0.80/1.00 assert (zenon_L260_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H171 zenon_H1a zenon_H20b zenon_H20c zenon_H1c7 zenon_H20a zenon_H266 zenon_H143. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L149_); trivial. % 0.80/1.00 apply (zenon_L259_); trivial. % 0.80/1.00 apply (zenon_L93_); trivial. % 0.80/1.00 (* end of lemma zenon_L260_ *) % 0.80/1.00 assert (zenon_L261_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> False). % 0.80/1.00 do 0 intro. intros zenon_He7 zenon_Hf zenon_H10 zenon_H132 zenon_H134 zenon_H133. % 0.80/1.00 generalize (zenon_He7 (a875)). zenon_intro zenon_H276. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_He | zenon_intro zenon_H277 ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H278 ]. % 0.80/1.00 generalize (zenon_H10 (a875)). zenon_intro zenon_H24e. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_He | zenon_intro zenon_H24f ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H138 | zenon_intro zenon_H250 ]. % 0.80/1.00 exact (zenon_H138 zenon_H132). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H139 ]. % 0.80/1.00 exact (zenon_H1c6 zenon_H1c3). % 0.80/1.00 exact (zenon_H139 zenon_H134). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H138 | zenon_intro zenon_H13a ]. % 0.80/1.00 exact (zenon_H138 zenon_H132). % 0.80/1.00 exact (zenon_H13a zenon_H133). % 0.80/1.00 (* end of lemma zenon_L261_ *) % 0.80/1.00 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H13d zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H20c zenon_H20b zenon_H20a zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H2e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.00 apply (zenon_L14_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_L261_); trivial. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 exact (zenon_H2e zenon_H2f). % 0.80/1.00 (* end of lemma zenon_L262_ *) % 0.80/1.00 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Had zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H266 zenon_H20a zenon_H1c7 zenon_H20c zenon_H20b zenon_H171 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_He6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.00 apply (zenon_L260_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L149_); trivial. % 0.80/1.00 apply (zenon_L262_); trivial. % 0.80/1.00 (* end of lemma zenon_L263_ *) % 0.80/1.00 assert (zenon_L264_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c1_1 (a844))) -> (c2_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c7 zenon_H39 zenon_H38 zenon_H65 zenon_H37 zenon_H20c zenon_He7 zenon_H20b zenon_Hf zenon_Hcf. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/1.00 apply (zenon_L244_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/1.00 apply (zenon_L189_); trivial. % 0.80/1.00 exact (zenon_Hcf zenon_Hd0). % 0.80/1.00 (* end of lemma zenon_L264_ *) % 0.80/1.00 assert (zenon_L265_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp30)) -> (~(c1_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_Hcf zenon_H37 zenon_H65 zenon_H38 zenon_H39 zenon_H1c7 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_L264_); trivial. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L265_ *) % 0.80/1.00 assert (zenon_L266_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp30)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10a zenon_H20c zenon_H20b zenon_H20a zenon_H1c7 zenon_H39 zenon_H38 zenon_H37 zenon_Hcf zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H108. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.80/1.00 apply (zenon_L265_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.80/1.00 apply (zenon_L123_); trivial. % 0.80/1.00 exact (zenon_H108 zenon_H109). % 0.80/1.00 (* end of lemma zenon_L266_ *) % 0.80/1.00 assert (zenon_L267_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a844)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (c3_1 (a857)) -> (c2_1 (a857)) -> (c1_1 (a857)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.80/1.00 do 0 intro. intros zenon_He2 zenon_H39 zenon_H65 zenon_H38 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hf zenon_Hdf. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.80/1.00 apply (zenon_L43_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.80/1.00 apply (zenon_L54_); trivial. % 0.80/1.00 exact (zenon_Hdf zenon_He0). % 0.80/1.00 (* end of lemma zenon_L267_ *) % 0.80/1.00 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf3 zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L268_ *) % 0.80/1.00 assert (zenon_L269_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H12e zenon_H10a zenon_H108 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H39 zenon_H38 zenon_H37 zenon_H20a zenon_H266 zenon_He2 zenon_He6. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.00 apply (zenon_L266_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.80/1.00 apply (zenon_L267_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.80/1.00 apply (zenon_L123_); trivial. % 0.80/1.00 exact (zenon_H108 zenon_H109). % 0.80/1.00 apply (zenon_L268_); trivial. % 0.80/1.00 (* end of lemma zenon_L269_ *) % 0.80/1.00 assert (zenon_L270_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H70 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.00 apply (zenon_L212_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.00 apply (zenon_L189_); trivial. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L270_ *) % 0.80/1.00 assert (zenon_L271_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp30)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp2)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H7d zenon_H1c7 zenon_H39 zenon_H38 zenon_H37 zenon_Hcf zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H7a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.80/1.00 apply (zenon_L265_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.80/1.00 apply (zenon_L270_); trivial. % 0.80/1.00 exact (zenon_H7a zenon_H7b). % 0.80/1.00 (* end of lemma zenon_L271_ *) % 0.80/1.00 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H9c zenon_He6 zenon_He2 zenon_Hdf zenon_H266 zenon_H20a zenon_H37 zenon_H38 zenon_H39 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H7a zenon_H7d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.00 apply (zenon_L271_); trivial. % 0.80/1.00 apply (zenon_L56_); trivial. % 0.80/1.00 (* end of lemma zenon_L272_ *) % 0.80/1.00 assert (zenon_L273_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H197 zenon_H199 zenon_H162 zenon_H12c zenon_H24c zenon_H13e zenon_H143 zenon_H7d zenon_H7a zenon_Hf4 zenon_He6 zenon_He2 zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a zenon_H12e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.00 apply (zenon_L269_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.00 apply (zenon_L233_); trivial. % 0.80/1.00 apply (zenon_L272_); trivial. % 0.80/1.00 apply (zenon_L268_); trivial. % 0.80/1.00 (* end of lemma zenon_L273_ *) % 0.80/1.00 assert (zenon_L274_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp11))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H279 zenon_H22b zenon_H22a zenon_H229 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H2e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1fa | zenon_intro zenon_H27a ]. % 0.80/1.00 apply (zenon_L203_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H70 | zenon_intro zenon_H2f ]. % 0.80/1.00 apply (zenon_L270_); trivial. % 0.80/1.00 exact (zenon_H2e zenon_H2f). % 0.80/1.00 (* end of lemma zenon_L274_ *) % 0.80/1.00 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp11))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H27b zenon_H23c zenon_H279 zenon_H23a zenon_H7a zenon_H245 zenon_H244 zenon_H243 zenon_H219 zenon_H190 zenon_H32 zenon_H30 zenon_H143 zenon_H1c7 zenon_H171 zenon_H142 zenon_He6 zenon_H266 zenon_H64 zenon_H224 zenon_H215 zenon_H12e zenon_H10a zenon_He2 zenon_Hf4 zenon_H7d zenon_H13e zenon_H24c zenon_H12c zenon_H162 zenon_H199 zenon_H1aa zenon_H23d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.00 apply (zenon_L213_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.00 apply (zenon_L185_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.00 apply (zenon_L257_); trivial. % 0.80/1.00 apply (zenon_L263_); trivial. % 0.80/1.00 apply (zenon_L273_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.00 apply (zenon_L213_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.00 apply (zenon_L274_); trivial. % 0.80/1.00 apply (zenon_L273_); trivial. % 0.80/1.00 (* end of lemma zenon_L275_ *) % 0.80/1.00 assert (zenon_L276_ : ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp16)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H27e zenon_H27f zenon_H280 zenon_H281 zenon_Hf zenon_H11b zenon_Hd1. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.80/1.00 generalize (zenon_H283 (a831)). zenon_intro zenon_H284. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_He | zenon_intro zenon_H285 ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 0.80/1.00 exact (zenon_H281 zenon_H287). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H289 | zenon_intro zenon_H288 ]. % 0.80/1.00 exact (zenon_H289 zenon_H280). % 0.80/1.00 exact (zenon_H288 zenon_H27f). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H11c | zenon_intro zenon_Hd2 ]. % 0.80/1.00 exact (zenon_H11b zenon_H11c). % 0.80/1.00 exact (zenon_Hd1 zenon_Hd2). % 0.80/1.00 (* end of lemma zenon_L276_ *) % 0.80/1.00 assert (zenon_L277_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H219 zenon_H11e zenon_H5 zenon_Hf zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.00 apply (zenon_L276_); trivial. % 0.80/1.00 apply (zenon_L74_); trivial. % 0.80/1.00 (* end of lemma zenon_L277_ *) % 0.80/1.00 assert (zenon_L278_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1b3 zenon_Hf zenon_He7 zenon_H281 zenon_H280 zenon_H27f. % 0.80/1.00 generalize (zenon_H1b3 (a831)). zenon_intro zenon_H28a. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_He | zenon_intro zenon_H28b ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H28c | zenon_intro zenon_H286 ]. % 0.80/1.00 generalize (zenon_He7 (a831)). zenon_intro zenon_H28d. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_He | zenon_intro zenon_H28e ]. % 0.80/1.00 exact (zenon_He zenon_Hf). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H287 | zenon_intro zenon_H28f ]. % 0.80/1.00 exact (zenon_H281 zenon_H287). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H290 | zenon_intro zenon_H289 ]. % 0.80/1.00 exact (zenon_H290 zenon_H28c). % 0.80/1.00 exact (zenon_H289 zenon_H280). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H289 | zenon_intro zenon_H288 ]. % 0.80/1.00 exact (zenon_H289 zenon_H280). % 0.80/1.00 exact (zenon_H288 zenon_H27f). % 0.80/1.00 (* end of lemma zenon_L278_ *) % 0.80/1.00 assert (zenon_L279_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c2_1 (a890)) -> (~(c0_1 (a890))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a890))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H1b3 zenon_H27 zenon_H25 zenon_H147 zenon_H26 zenon_Hf zenon_H9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/1.00 apply (zenon_L278_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/1.00 apply (zenon_L131_); trivial. % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 (* end of lemma zenon_L279_ *) % 0.80/1.00 assert (zenon_L280_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a875)) -> (c3_1 (a875)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (c2_1 (a890)) -> (~(c0_1 (a890))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a890))) -> (~(hskp28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H30 zenon_H11b zenon_Hf zenon_H132 zenon_H134 zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H27 zenon_H25 zenon_H147 zenon_H26 zenon_H9 zenon_H1bc zenon_H2e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.00 apply (zenon_L14_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.00 apply (zenon_L279_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.00 apply (zenon_L216_); trivial. % 0.80/1.00 exact (zenon_H11b zenon_H11c). % 0.80/1.00 exact (zenon_H2e zenon_H2f). % 0.80/1.00 (* end of lemma zenon_L280_ *) % 0.80/1.00 assert (zenon_L281_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp28)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (c2_1 (a890)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp5)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H13d zenon_H1f8 zenon_H2e zenon_H1bc zenon_H9 zenon_H26 zenon_H25 zenon_H27 zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H30 zenon_H11b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.00 apply (zenon_L280_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 exact (zenon_H11b zenon_H11c). % 0.80/1.00 (* end of lemma zenon_L281_ *) % 0.80/1.00 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H33 zenon_H23 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_H30 zenon_H2e zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H11b zenon_H1bc zenon_H1f8 zenon_H143. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.00 apply (zenon_L214_); trivial. % 0.80/1.00 apply (zenon_L281_); trivial. % 0.80/1.00 apply (zenon_L16_); trivial. % 0.80/1.00 (* end of lemma zenon_L282_ *) % 0.80/1.00 assert (zenon_L283_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf4 zenon_Hb9 zenon_H25e zenon_H1bc zenon_H11b zenon_H1f zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H251 zenon_Hab zenon_H1c zenon_H18d zenon_H143 zenon_H1f8 zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H2e zenon_H30 zenon_H23 zenon_H32. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_L220_); trivial. % 0.80/1.01 apply (zenon_L282_); trivial. % 0.80/1.01 apply (zenon_L108_); trivial. % 0.80/1.01 (* end of lemma zenon_L283_ *) % 0.80/1.01 assert (zenon_L284_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1b3 zenon_Hf zenon_H131 zenon_H280 zenon_H27f. % 0.80/1.01 generalize (zenon_H1b3 (a831)). zenon_intro zenon_H28a. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_He | zenon_intro zenon_H28b ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H28c | zenon_intro zenon_H286 ]. % 0.80/1.01 generalize (zenon_H131 (a831)). zenon_intro zenon_H291. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_He | zenon_intro zenon_H292 ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H290 | zenon_intro zenon_H286 ]. % 0.80/1.01 exact (zenon_H290 zenon_H28c). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H289 | zenon_intro zenon_H288 ]. % 0.80/1.01 exact (zenon_H289 zenon_H280). % 0.80/1.01 exact (zenon_H288 zenon_H27f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H289 | zenon_intro zenon_H288 ]. % 0.80/1.01 exact (zenon_H289 zenon_H280). % 0.80/1.01 exact (zenon_H288 zenon_H27f). % 0.80/1.01 (* end of lemma zenon_L284_ *) % 0.80/1.01 assert (zenon_L285_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H1a zenon_Hf zenon_H8a zenon_H89 zenon_H88 zenon_Hb9 zenon_H11b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.01 apply (zenon_L284_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.01 apply (zenon_L106_); trivial. % 0.80/1.01 exact (zenon_H11b zenon_H11c). % 0.80/1.01 (* end of lemma zenon_L285_ *) % 0.80/1.01 assert (zenon_L286_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (ndr1_0) -> (~(hskp25)) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp23)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_H11b zenon_Hb9 zenon_H88 zenon_H89 zenon_H8a zenon_Hf zenon_H1a zenon_H280 zenon_H27f zenon_H1bc zenon_H13b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.80/1.01 apply (zenon_L75_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.80/1.01 apply (zenon_L285_); trivial. % 0.80/1.01 exact (zenon_H13b zenon_H13c). % 0.80/1.01 (* end of lemma zenon_L286_ *) % 0.80/1.01 assert (zenon_L287_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (c2_1 (a890)) -> (~(c0_1 (a890))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a890))) -> (~(hskp28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H30 zenon_H11b zenon_Hf zenon_H8a zenon_H89 zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H27 zenon_H25 zenon_H147 zenon_H26 zenon_H9 zenon_H1bc zenon_H2e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.01 apply (zenon_L14_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.01 apply (zenon_L279_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 exact (zenon_H11b zenon_H11c). % 0.80/1.01 exact (zenon_H2e zenon_H2f). % 0.80/1.01 (* end of lemma zenon_L287_ *) % 0.80/1.01 assert (zenon_L288_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a858))) -> (~(c1_1 (a858))) -> (~(c2_1 (a858))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a863))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H33 zenon_H23 zenon_H112 zenon_H113 zenon_H114 zenon_H293 zenon_H213 zenon_H88 zenon_H1bc zenon_H11b zenon_H89 zenon_H8a zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H2e zenon_H30 zenon_H7a zenon_H224. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/1.01 apply (zenon_L72_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.80/1.01 apply (zenon_L287_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.80/1.01 apply (zenon_L35_); trivial. % 0.80/1.01 exact (zenon_H213 zenon_H214). % 0.80/1.01 exact (zenon_H7a zenon_H7b). % 0.80/1.01 apply (zenon_L16_); trivial. % 0.80/1.01 (* end of lemma zenon_L288_ *) % 0.80/1.01 assert (zenon_L289_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a858))) -> (~(c1_1 (a858))) -> (~(c2_1 (a858))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a831))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H32 zenon_H23 zenon_H112 zenon_H113 zenon_H114 zenon_H293 zenon_H213 zenon_H281 zenon_Hf1 zenon_H2e zenon_H30 zenon_H7a zenon_H224 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H1bc zenon_H11b zenon_H88 zenon_H8a zenon_H89 zenon_Hb9 zenon_H27f zenon_H280 zenon_H13b zenon_H13e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 apply (zenon_L288_); trivial. % 0.80/1.01 (* end of lemma zenon_L289_ *) % 0.80/1.01 assert (zenon_L290_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (ndr1_0) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H23 zenon_Hb9 zenon_H1a zenon_H89 zenon_H8a zenon_H88 zenon_Hf zenon_H148 zenon_H146 zenon_H149 zenon_H15b zenon_H17a. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.01 apply (zenon_L98_); trivial. % 0.80/1.01 apply (zenon_L239_); trivial. % 0.80/1.01 (* end of lemma zenon_L290_ *) % 0.80/1.01 assert (zenon_L291_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H15f zenon_H32 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_H88 zenon_H8a zenon_H89 zenon_Hb9 zenon_H23. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_L290_); trivial. % 0.80/1.01 apply (zenon_L102_); trivial. % 0.80/1.01 (* end of lemma zenon_L291_ *) % 0.80/1.01 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c1_1 (a831))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9c zenon_H162 zenon_H17a zenon_H15b zenon_H13e zenon_H280 zenon_H27f zenon_Hb9 zenon_H11b zenon_H1bc zenon_H125 zenon_H124 zenon_H123 zenon_H224 zenon_H7a zenon_H30 zenon_H2e zenon_Hf1 zenon_H281 zenon_H213 zenon_H293 zenon_H114 zenon_H113 zenon_H112 zenon_H23 zenon_H32. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.01 apply (zenon_L289_); trivial. % 0.80/1.01 apply (zenon_L291_); trivial. % 0.80/1.01 (* end of lemma zenon_L292_ *) % 0.80/1.01 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H194 zenon_H219 zenon_H12e zenon_H1f8 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H143 zenon_H32 zenon_H23 zenon_H293 zenon_H213 zenon_Hf1 zenon_H2e zenon_H30 zenon_H7a zenon_H224 zenon_H1bc zenon_Hb9 zenon_H15b zenon_H17a zenon_Hf4 zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.01 apply (zenon_L276_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L233_); trivial. % 0.80/1.01 apply (zenon_L292_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L238_); trivial. % 0.80/1.01 apply (zenon_L292_); trivial. % 0.80/1.01 (* end of lemma zenon_L293_ *) % 0.80/1.01 assert (zenon_L294_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H219 zenon_H217 zenon_H1c zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.01 apply (zenon_L276_); trivial. % 0.80/1.01 apply (zenon_L186_); trivial. % 0.80/1.01 (* end of lemma zenon_L294_ *) % 0.80/1.01 assert (zenon_L295_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (~(c3_1 (a868))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c1_1 (a868))) -> (c2_1 (a868)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H30 zenon_H11b zenon_Hf zenon_H8a zenon_H89 zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H27f zenon_H280 zenon_H281 zenon_H146 zenon_H147 zenon_H148 zenon_H149 zenon_H1bc zenon_H2e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.01 apply (zenon_L227_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.01 apply (zenon_L212_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.01 apply (zenon_L278_); trivial. % 0.80/1.01 apply (zenon_L84_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 exact (zenon_H11b zenon_H11c). % 0.80/1.01 exact (zenon_H2e zenon_H2f). % 0.80/1.01 (* end of lemma zenon_L295_ *) % 0.80/1.01 assert (zenon_L296_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H11b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.01 apply (zenon_L284_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.01 apply (zenon_L156_); trivial. % 0.80/1.01 exact (zenon_H11b zenon_H11c). % 0.80/1.01 (* end of lemma zenon_L296_ *) % 0.80/1.01 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp11)) -> (~(c1_1 (a831))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H15f zenon_H1f8 zenon_H2e zenon_H281 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H89 zenon_H8a zenon_H30 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H280 zenon_H27f zenon_H1bc zenon_H11b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.01 apply (zenon_L295_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.01 apply (zenon_L296_); trivial. % 0.80/1.01 exact (zenon_H11b zenon_H11c). % 0.80/1.01 (* end of lemma zenon_L297_ *) % 0.80/1.01 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c1_1 (a831))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9c zenon_H162 zenon_H1f8 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H280 zenon_H27f zenon_Hb9 zenon_H11b zenon_H1bc zenon_H125 zenon_H124 zenon_H123 zenon_H224 zenon_H7a zenon_H30 zenon_H2e zenon_Hf1 zenon_H281 zenon_H213 zenon_H293 zenon_H114 zenon_H113 zenon_H112 zenon_H23 zenon_H32. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.01 apply (zenon_L289_); trivial. % 0.80/1.01 apply (zenon_L297_); trivial. % 0.80/1.01 (* end of lemma zenon_L298_ *) % 0.80/1.01 assert (zenon_L299_ : (~(hskp0)) -> (hskp0) -> False). % 0.80/1.01 do 0 intro. intros zenon_H295 zenon_H296. % 0.80/1.01 exact (zenon_H295 zenon_H296). % 0.80/1.01 (* end of lemma zenon_L299_ *) % 0.80/1.01 assert (zenon_L300_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> (~(hskp0)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H11d zenon_H297 zenon_H22b zenon_H22a zenon_H229 zenon_H295. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H111 | zenon_intro zenon_H298 ]. % 0.80/1.01 apply (zenon_L72_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H1fa | zenon_intro zenon_H296 ]. % 0.80/1.01 apply (zenon_L203_); trivial. % 0.80/1.01 exact (zenon_H295 zenon_H296). % 0.80/1.01 (* end of lemma zenon_L300_ *) % 0.80/1.01 assert (zenon_L301_ : ((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H240 zenon_H219 zenon_H297 zenon_H295 zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.01 apply (zenon_L276_); trivial. % 0.80/1.01 apply (zenon_L300_); trivial. % 0.80/1.01 (* end of lemma zenon_L301_ *) % 0.80/1.01 assert (zenon_L302_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H86 zenon_Hf zenon_H299 zenon_H29a zenon_H29b. % 0.80/1.01 generalize (zenon_H86 (a830)). zenon_intro zenon_H29c. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_He | zenon_intro zenon_H29d ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ]. % 0.80/1.01 exact (zenon_H299 zenon_H29f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ]. % 0.80/1.01 exact (zenon_H29a zenon_H2a1). % 0.80/1.01 exact (zenon_H2a0 zenon_H29b). % 0.80/1.01 (* end of lemma zenon_L302_ *) % 0.80/1.01 assert (zenon_L303_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp7)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2a2 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H1 zenon_H15b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H86 | zenon_intro zenon_H2a3 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2 | zenon_intro zenon_H15c ]. % 0.80/1.01 exact (zenon_H1 zenon_H2). % 0.80/1.01 exact (zenon_H15b zenon_H15c). % 0.80/1.01 (* end of lemma zenon_L303_ *) % 0.80/1.01 assert (zenon_L304_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a884))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H98 zenon_Hf zenon_Hfc zenon_H122 zenon_Hfd zenon_H10f. % 0.80/1.01 generalize (zenon_H98 (a884)). zenon_intro zenon_H2a4. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_He | zenon_intro zenon_H2a5 ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H105 | zenon_intro zenon_H2a6 ]. % 0.80/1.01 exact (zenon_Hfc zenon_H105). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H107 | zenon_intro zenon_H15a ]. % 0.80/1.01 generalize (zenon_H122 (a884)). zenon_intro zenon_H2a7. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_He | zenon_intro zenon_H2a8 ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H101 | zenon_intro zenon_H159 ]. % 0.80/1.01 exact (zenon_H107 zenon_H101). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H106 | zenon_intro zenon_H15a ]. % 0.80/1.01 exact (zenon_H106 zenon_Hfd). % 0.80/1.01 exact (zenon_H15a zenon_H10f). % 0.80/1.01 exact (zenon_H15a zenon_H10f). % 0.80/1.01 (* end of lemma zenon_L304_ *) % 0.80/1.01 assert (zenon_L305_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a884)) -> (c1_1 (a884)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(c2_1 (a884))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9d zenon_H29b zenon_H29a zenon_H299 zenon_H10f zenon_Hfd zenon_H122 zenon_Hfc zenon_Hf zenon_H40. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.80/1.01 apply (zenon_L304_); trivial. % 0.80/1.01 exact (zenon_H40 zenon_H41). % 0.80/1.01 (* end of lemma zenon_L305_ *) % 0.80/1.01 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(hskp3)) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp23)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H13d zenon_H13e zenon_H40 zenon_Hfc zenon_Hfd zenon_H10f zenon_H299 zenon_H29a zenon_H29b zenon_H9d zenon_H13b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.80/1.01 apply (zenon_L305_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.80/1.01 apply (zenon_L80_); trivial. % 0.80/1.01 exact (zenon_H13b zenon_H13c). % 0.80/1.01 (* end of lemma zenon_L306_ *) % 0.80/1.01 assert (zenon_L307_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(hskp23)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H110 zenon_H143 zenon_H13e zenon_H13b zenon_H299 zenon_H29a zenon_H29b zenon_H40 zenon_H9d zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H142 zenon_Hf zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.01 apply (zenon_L124_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.01 apply (zenon_L149_); trivial. % 0.80/1.01 apply (zenon_L306_); trivial. % 0.80/1.01 (* end of lemma zenon_L307_ *) % 0.80/1.01 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Had zenon_H162 zenon_H15d zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H155 zenon_H37 zenon_H38 zenon_H39 zenon_Hf9 zenon_H1a8 zenon_H5 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H142 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H13e zenon_H143 zenon_H110. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.01 apply (zenon_L307_); trivial. % 0.80/1.01 apply (zenon_L89_); trivial. % 0.80/1.01 (* end of lemma zenon_L308_ *) % 0.80/1.01 assert (zenon_L309_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_Hf9 zenon_H142 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H13e zenon_H143 zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L127_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L126_); trivial. % 0.80/1.01 apply (zenon_L308_); trivial. % 0.80/1.01 (* end of lemma zenon_L309_ *) % 0.80/1.01 assert (zenon_L310_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H44 zenon_H2e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H86 | zenon_intro zenon_H2aa ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H45 | zenon_intro zenon_H2f ]. % 0.80/1.01 exact (zenon_H44 zenon_H45). % 0.80/1.01 exact (zenon_H2e zenon_H2f). % 0.80/1.01 (* end of lemma zenon_L310_ *) % 0.80/1.01 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9c zenon_H9d zenon_H29b zenon_H29a zenon_H299 zenon_H40. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.80/1.01 apply (zenon_L37_); trivial. % 0.80/1.01 exact (zenon_H40 zenon_H41). % 0.80/1.01 (* end of lemma zenon_L311_ *) % 0.80/1.01 assert (zenon_L312_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hf4 zenon_H9d zenon_H40 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H2e zenon_H2a9. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L310_); trivial. % 0.80/1.01 apply (zenon_L311_); trivial. % 0.80/1.01 (* end of lemma zenon_L312_ *) % 0.80/1.01 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H198 zenon_H162 zenon_H15d zenon_H15b zenon_H155 zenon_Hf9 zenon_H142 zenon_H13e zenon_H143 zenon_H163 zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190 zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_L312_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L127_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L91_); trivial. % 0.80/1.01 apply (zenon_L308_); trivial. % 0.80/1.01 (* end of lemma zenon_L313_ *) % 0.80/1.01 assert (zenon_L314_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a830)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Ha1 zenon_Hf zenon_H299 zenon_H188 zenon_H29b. % 0.80/1.01 generalize (zenon_Ha1 (a830)). zenon_intro zenon_H2ab. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_He | zenon_intro zenon_H2ac ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H29f | zenon_intro zenon_H2ad ]. % 0.80/1.01 exact (zenon_H299 zenon_H29f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2a0 ]. % 0.80/1.01 generalize (zenon_H188 (a830)). zenon_intro zenon_H2af. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_He | zenon_intro zenon_H2b0 ]. % 0.80/1.01 exact (zenon_He zenon_Hf). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H29f | zenon_intro zenon_H2b1 ]. % 0.80/1.01 exact (zenon_H299 zenon_H29f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2b2 ]. % 0.80/1.01 exact (zenon_H2a0 zenon_H29b). % 0.80/1.01 exact (zenon_H2b2 zenon_H2ae). % 0.80/1.01 exact (zenon_H2a0 zenon_H29b). % 0.80/1.01 (* end of lemma zenon_L314_ *) % 0.80/1.01 assert (zenon_L315_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c0_1 (a830)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H29b zenon_H188 zenon_H299 zenon_Hf zenon_Hf7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H36 | zenon_intro zenon_Hfa ]. % 0.80/1.01 apply (zenon_L18_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hf8 ]. % 0.80/1.01 apply (zenon_L314_); trivial. % 0.80/1.01 exact (zenon_Hf7 zenon_Hf8). % 0.80/1.01 (* end of lemma zenon_L315_ *) % 0.80/1.01 assert (zenon_L316_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp17)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1e1 zenon_H2b3 zenon_H29b zenon_H29a zenon_H299 zenon_H62. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H86 | zenon_intro zenon_H2b4 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hbb | zenon_intro zenon_H63 ]. % 0.80/1.01 apply (zenon_L161_); trivial. % 0.80/1.01 exact (zenon_H62 zenon_H63). % 0.80/1.01 (* end of lemma zenon_L316_ *) % 0.80/1.01 assert (zenon_L317_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c2_1 (a830))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(c1_1 (a830))) -> (c0_1 (a830)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(hskp17)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1e4 zenon_H2b3 zenon_H29a zenon_H1d6 zenon_H1d4 zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H299 zenon_H29b zenon_Hf9 zenon_H62 zenon_H96 zenon_H110. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H188 | zenon_intro zenon_H1d7 ]. % 0.80/1.01 apply (zenon_L315_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d5 ]. % 0.80/1.01 exact (zenon_H1d2 zenon_H1d3). % 0.80/1.01 exact (zenon_H1d4 zenon_H1d5). % 0.80/1.01 apply (zenon_L125_); trivial. % 0.80/1.01 apply (zenon_L316_); trivial. % 0.80/1.01 (* end of lemma zenon_L317_ *) % 0.80/1.01 assert (zenon_L318_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c0_1 (a830)) -> (~(c1_1 (a830))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(c2_1 (a830))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H110 zenon_H96 zenon_Hf9 zenon_H29b zenon_H299 zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H1d4 zenon_H1d6 zenon_H29a zenon_H2b3 zenon_H1e4. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L317_); trivial. % 0.80/1.01 apply (zenon_L41_); trivial. % 0.80/1.01 (* end of lemma zenon_L318_ *) % 0.80/1.01 assert (zenon_L319_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9d zenon_H29b zenon_H29a zenon_H299 zenon_H1cb zenon_H1ca zenon_H131 zenon_Hf zenon_H40. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.80/1.01 apply (zenon_L169_); trivial. % 0.80/1.01 exact (zenon_H40 zenon_H41). % 0.80/1.01 (* end of lemma zenon_L319_ *) % 0.80/1.01 assert (zenon_L320_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Had zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H5 zenon_H155 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.01 apply (zenon_L65_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.80/1.01 apply (zenon_L305_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.80/1.01 apply (zenon_L319_); trivial. % 0.80/1.01 exact (zenon_H13b zenon_H13c). % 0.80/1.01 apply (zenon_L171_); trivial. % 0.80/1.01 (* end of lemma zenon_L320_ *) % 0.80/1.01 assert (zenon_L321_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c0_1 (a830)) -> (~(c1_1 (a830))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(c2_1 (a830))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H19c zenon_H190 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H5 zenon_H155 zenon_H9d zenon_H40 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110 zenon_H96 zenon_Hf9 zenon_H29b zenon_H299 zenon_H39 zenon_H38 zenon_H37 zenon_H1d4 zenon_H1d6 zenon_H29a zenon_H2b3 zenon_H1e4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L317_); trivial. % 0.80/1.01 apply (zenon_L320_); trivial. % 0.80/1.01 (* end of lemma zenon_L321_ *) % 0.80/1.01 assert (zenon_L322_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c2_1 (a830))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a830))) -> (c0_1 (a830)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H5 zenon_H155 zenon_H9d zenon_H40 zenon_H1cb zenon_H1ca zenon_H13e zenon_H1e4 zenon_H2b3 zenon_H29a zenon_H1d6 zenon_H1d4 zenon_H299 zenon_H29b zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H190. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L318_); trivial. % 0.80/1.01 apply (zenon_L321_); trivial. % 0.80/1.01 (* end of lemma zenon_L322_ *) % 0.80/1.01 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H198 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H155 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110 zenon_H96 zenon_Hf9 zenon_H1d4 zenon_H1d6 zenon_H2b3 zenon_H1e4 zenon_H163 zenon_H5 zenon_Hae zenon_H190 zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_L312_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L120_); trivial. % 0.80/1.01 apply (zenon_L321_); trivial. % 0.80/1.01 (* end of lemma zenon_L323_ *) % 0.80/1.01 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H18f zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L166_); trivial. % 0.80/1.01 apply (zenon_L41_); trivial. % 0.80/1.01 (* end of lemma zenon_L324_ *) % 0.80/1.01 assert (zenon_L325_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H193 zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_H1 zenon_H5 zenon_H7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L4_); trivial. % 0.80/1.01 apply (zenon_L324_); trivial. % 0.80/1.01 (* end of lemma zenon_L325_ *) % 0.80/1.01 assert (zenon_L326_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H19c zenon_H193 zenon_H190 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H155 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_H1 zenon_H5 zenon_H7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L4_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L166_); trivial. % 0.80/1.01 apply (zenon_L320_); trivial. % 0.80/1.01 (* end of lemma zenon_L326_ *) % 0.80/1.01 assert (zenon_L327_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H155 zenon_Hf9 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110 zenon_H7 zenon_H5 zenon_H1 zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hae zenon_H190 zenon_H193. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L325_); trivial. % 0.80/1.01 apply (zenon_L326_); trivial. % 0.80/1.01 (* end of lemma zenon_L327_ *) % 0.80/1.01 assert (zenon_L328_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp9)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H198 zenon_H193 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H155 zenon_Hf9 zenon_H1cb zenon_H1ca zenon_H13e zenon_H110 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_H1 zenon_H7 zenon_H163 zenon_H5 zenon_Hae zenon_H190 zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_L312_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L120_); trivial. % 0.80/1.01 apply (zenon_L326_); trivial. % 0.80/1.01 (* end of lemma zenon_L328_ *) % 0.80/1.01 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Had zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H1ca zenon_H1cb zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H155 zenon_H1a8 zenon_H5 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H142 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H13e zenon_H143 zenon_H110. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.01 apply (zenon_L307_); trivial. % 0.80/1.01 apply (zenon_L171_); trivial. % 0.80/1.01 (* end of lemma zenon_L329_ *) % 0.80/1.01 assert (zenon_L330_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H155 zenon_H142 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H13e zenon_H143 zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L127_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L126_); trivial. % 0.80/1.01 apply (zenon_L329_); trivial. % 0.80/1.01 (* end of lemma zenon_L330_ *) % 0.80/1.01 assert (zenon_L331_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H198 zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H155 zenon_H142 zenon_H13e zenon_H143 zenon_H163 zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190 zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_L312_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L127_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L91_); trivial. % 0.80/1.01 apply (zenon_L329_); trivial. % 0.80/1.01 (* end of lemma zenon_L331_ *) % 0.80/1.01 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((hskp28)\/(hskp10)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H207 zenon_H23e zenon_H163 zenon_H2a9 zenon_Hf4 zenon_H32 zenon_H30 zenon_Hd zenon_H1c zenon_H1f zenon_H23 zenon_H190 zenon_Hae zenon_H1a8 zenon_H5 zenon_H96 zenon_H110 zenon_H143 zenon_H13e zenon_H299 zenon_H29a zenon_H29b zenon_H40 zenon_H9d zenon_H142 zenon_H155 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H11b zenon_H1f8 zenon_H162 zenon_H198 zenon_H1aa. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_L17_); trivial. % 0.80/1.01 apply (zenon_L330_); trivial. % 0.80/1.01 apply (zenon_L331_); trivial. % 0.80/1.01 (* end of lemma zenon_L332_ *) % 0.80/1.01 assert (zenon_L333_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2b5 zenon_H29b zenon_H29a zenon_H299 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H86 | zenon_intro zenon_H2b6 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H145 | zenon_intro zenon_H4 ]. % 0.80/1.01 apply (zenon_L183_); trivial. % 0.80/1.01 exact (zenon_H3 zenon_H4). % 0.80/1.01 (* end of lemma zenon_L333_ *) % 0.80/1.01 assert (zenon_L334_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2b3 zenon_H29b zenon_H29a zenon_H299 zenon_H5a zenon_H5b zenon_H24 zenon_H59 zenon_Hf zenon_H62. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H86 | zenon_intro zenon_H2b4 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hbb | zenon_intro zenon_H63 ]. % 0.80/1.01 apply (zenon_L45_); trivial. % 0.80/1.01 exact (zenon_H62 zenon_H63). % 0.80/1.01 (* end of lemma zenon_L334_ *) % 0.80/1.01 assert (zenon_L335_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp17)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(hskp30)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H30 zenon_H62 zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H9 zenon_Hf zenon_H59 zenon_H5a zenon_H5b zenon_H1c7 zenon_H89 zenon_H8a zenon_H20c zenon_H20b zenon_Hcf zenon_Hf1 zenon_H2e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.01 apply (zenon_L334_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.01 apply (zenon_L193_); trivial. % 0.80/1.01 exact (zenon_H2e zenon_H2f). % 0.80/1.01 (* end of lemma zenon_L335_ *) % 0.80/1.01 assert (zenon_L336_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H32 zenon_H30 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hb9 zenon_H23 zenon_H299 zenon_H29a zenon_H29b zenon_H2e zenon_H2a9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L310_); trivial. % 0.80/1.01 apply (zenon_L240_); trivial. % 0.80/1.01 (* end of lemma zenon_L336_ *) % 0.80/1.01 assert (zenon_L337_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp30)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c2_1 (a875)) -> (c3_1 (a875)) -> (c0_1 (a875)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hf1 zenon_Hcf zenon_H20b zenon_H20c zenon_Hd5 zenon_H133 zenon_H134 zenon_H132 zenon_H1c7 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H9. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_L258_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/1.01 apply (zenon_L27_); trivial. % 0.80/1.01 exact (zenon_H9 zenon_Ha). % 0.80/1.01 (* end of lemma zenon_L337_ *) % 0.80/1.01 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(hskp28)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(hskp30)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp25)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H13d zenon_H171 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9 zenon_H59 zenon_H5a zenon_H5b zenon_H1c7 zenon_H20c zenon_H20b zenon_Hcf zenon_Hf1 zenon_H1a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.80/1.01 apply (zenon_L39_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.80/1.01 apply (zenon_L337_); trivial. % 0.80/1.01 exact (zenon_H1a zenon_H1b). % 0.80/1.01 (* end of lemma zenon_L338_ *) % 0.80/1.01 assert (zenon_L339_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp30)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(hskp28)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H143 zenon_H171 zenon_H1a zenon_H1c7 zenon_Hcf zenon_H20c zenon_H20b zenon_H59 zenon_H5a zenon_H5b zenon_H9 zenon_Hf1 zenon_Hf zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.01 apply (zenon_L149_); trivial. % 0.80/1.01 apply (zenon_L338_); trivial. % 0.80/1.01 (* end of lemma zenon_L339_ *) % 0.80/1.01 assert (zenon_L340_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H23 zenon_Hb9 zenon_H143 zenon_H171 zenon_H1a zenon_H1c7 zenon_H20c zenon_H20b zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_Hf zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_H88 zenon_H8a zenon_H89 zenon_Hdf zenon_He2 zenon_He6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.01 apply (zenon_L339_); trivial. % 0.80/1.01 apply (zenon_L56_); trivial. % 0.80/1.01 apply (zenon_L239_); trivial. % 0.80/1.01 (* end of lemma zenon_L340_ *) % 0.80/1.01 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9c zenon_H32 zenon_H30 zenon_H2e zenon_He6 zenon_He2 zenon_Hdf zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H20b zenon_H20c zenon_H1c7 zenon_H171 zenon_H143 zenon_Hb9 zenon_H23. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_L340_); trivial. % 0.80/1.01 apply (zenon_L195_); trivial. % 0.80/1.01 (* end of lemma zenon_L341_ *) % 0.80/1.01 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Had zenon_H12e zenon_H2a9 zenon_H2e zenon_H29b zenon_H29a zenon_H299 zenon_H23 zenon_Hb9 zenon_H143 zenon_H171 zenon_H1c7 zenon_H20c zenon_H20b zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_He2 zenon_He6 zenon_H30 zenon_H32 zenon_Hf4. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L310_); trivial. % 0.80/1.01 apply (zenon_L341_); trivial. % 0.80/1.01 apply (zenon_L336_); trivial. % 0.80/1.01 (* end of lemma zenon_L342_ *) % 0.80/1.01 assert (zenon_L343_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H193 zenon_H190 zenon_H143 zenon_H171 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_Hf4 zenon_H32 zenon_He6 zenon_He2 zenon_H2b3 zenon_Hf1 zenon_H1c7 zenon_H30 zenon_Hb9 zenon_H23 zenon_H2e zenon_H2a9 zenon_H12e zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H20a zenon_H20b zenon_H20c zenon_H2b5. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L333_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L310_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.01 apply (zenon_L335_); trivial. % 0.80/1.01 apply (zenon_L56_); trivial. % 0.80/1.01 apply (zenon_L239_); trivial. % 0.80/1.01 apply (zenon_L195_); trivial. % 0.80/1.01 apply (zenon_L336_); trivial. % 0.80/1.01 apply (zenon_L342_); trivial. % 0.80/1.01 (* end of lemma zenon_L343_ *) % 0.80/1.01 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c2_1 (a830))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a830))) -> (c0_1 (a830)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H155 zenon_H5 zenon_H20c zenon_H20b zenon_H20a zenon_H1e4 zenon_H2b3 zenon_H29a zenon_H1d6 zenon_H1d4 zenon_H299 zenon_H29b zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H190. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L318_); trivial. % 0.80/1.01 apply (zenon_L201_); trivial. % 0.80/1.01 (* end of lemma zenon_L344_ *) % 0.80/1.01 assert (zenon_L345_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H193 zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H20a zenon_H20b zenon_H20c zenon_H2b5. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L333_); trivial. % 0.80/1.01 apply (zenon_L324_); trivial. % 0.80/1.01 (* end of lemma zenon_L345_ *) % 0.80/1.01 assert (zenon_L346_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H197 zenon_H198 zenon_H155 zenon_H5 zenon_H2b5 zenon_H20c zenon_H20b zenon_H20a zenon_H29b zenon_H29a zenon_H299 zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hae zenon_H190 zenon_H193. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.01 apply (zenon_L345_); trivial. % 0.80/1.01 apply (zenon_L201_); trivial. % 0.80/1.01 (* end of lemma zenon_L346_ *) % 0.80/1.01 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H198 zenon_H155 zenon_H5 zenon_Hae zenon_H2b5 zenon_H20c zenon_H20b zenon_H20a zenon_H29b zenon_H29a zenon_H299 zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hf4 zenon_H32 zenon_H30 zenon_He6 zenon_He2 zenon_H142 zenon_Hf1 zenon_H1c7 zenon_H171 zenon_H143 zenon_Hb9 zenon_H23 zenon_H2a9 zenon_H12e zenon_H190 zenon_H193. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L333_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.01 apply (zenon_L166_); trivial. % 0.80/1.01 apply (zenon_L342_); trivial. % 0.80/1.01 apply (zenon_L346_); trivial. % 0.80/1.01 (* end of lemma zenon_L347_ *) % 0.80/1.01 assert (zenon_L348_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (c2_1 (a833)) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57)))))) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1c7 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H20c zenon_He7 zenon_H20b zenon_Hf zenon_Hcf. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H188 | zenon_intro zenon_H1c8 ]. % 0.80/1.01 apply (zenon_L156_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H70 | zenon_intro zenon_Hd0 ]. % 0.80/1.01 apply (zenon_L189_); trivial. % 0.80/1.01 exact (zenon_Hcf zenon_Hd0). % 0.80/1.01 (* end of lemma zenon_L348_ *) % 0.80/1.01 assert (zenon_L349_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H23 zenon_Hb9 zenon_H1a zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H20b zenon_H20c zenon_H1c7 zenon_H88 zenon_H8a zenon_H89 zenon_Hdf zenon_He2 zenon_He6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_L348_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/1.01 apply (zenon_L27_); trivial. % 0.80/1.01 exact (zenon_H9 zenon_Ha). % 0.80/1.01 apply (zenon_L56_); trivial. % 0.80/1.01 apply (zenon_L239_); trivial. % 0.80/1.01 (* end of lemma zenon_L349_ *) % 0.80/1.01 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H9c zenon_H32 zenon_H30 zenon_H2e zenon_He6 zenon_He2 zenon_Hdf zenon_H1c7 zenon_H20c zenon_H20b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_Hb9 zenon_H23. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.01 apply (zenon_L349_); trivial. % 0.80/1.01 apply (zenon_L195_); trivial. % 0.80/1.01 (* end of lemma zenon_L350_ *) % 0.80/1.01 assert (zenon_L351_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H193 zenon_H12e zenon_H2a9 zenon_H2e zenon_H23 zenon_Hb9 zenon_Hf1 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c7 zenon_He2 zenon_He6 zenon_H30 zenon_H32 zenon_Hf4 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H20a zenon_H20b zenon_H20c zenon_H2b5. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.01 apply (zenon_L333_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.01 apply (zenon_L310_); trivial. % 0.80/1.01 apply (zenon_L350_); trivial. % 0.80/1.01 apply (zenon_L336_); trivial. % 0.80/1.01 (* end of lemma zenon_L351_ *) % 0.80/1.01 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H27b zenon_H23f zenon_H23d zenon_H1aa zenon_H198 zenon_H155 zenon_H5 zenon_H1e4 zenon_H1d6 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H2b5 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193 zenon_H299 zenon_H29a zenon_H29b zenon_H2a2 zenon_H64 zenon_H2b7. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L343_); trivial. % 0.80/1.02 apply (zenon_L344_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_L347_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L351_); trivial. % 0.80/1.02 apply (zenon_L344_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L351_); trivial. % 0.80/1.02 apply (zenon_L346_); trivial. % 0.80/1.02 (* end of lemma zenon_L352_ *) % 0.80/1.02 assert (zenon_L353_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H162 zenon_H1f8 zenon_H11b zenon_He8 zenon_He9 zenon_Hea zenon_H266 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.02 apply (zenon_L223_); trivial. % 0.80/1.02 apply (zenon_L248_); trivial. % 0.80/1.02 (* end of lemma zenon_L353_ *) % 0.80/1.02 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H11b zenon_H1f8 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H123 zenon_H124 zenon_H125 zenon_H13e zenon_H143 zenon_Hd3 zenon_Hd1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_He2 zenon_He6 zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_L234_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_L353_); trivial. % 0.80/1.02 apply (zenon_L311_); trivial. % 0.80/1.02 (* end of lemma zenon_L354_ *) % 0.80/1.02 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H198 zenon_H199 zenon_H219 zenon_H217 zenon_H1c zenon_He6 zenon_He2 zenon_Hd3 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_H12c zenon_H162 zenon_H1f8 zenon_H11b zenon_H142 zenon_H12e zenon_H10a zenon_H1e4 zenon_H2b3 zenon_H1d6 zenon_H1d4 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H190 zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L312_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.02 apply (zenon_L318_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.02 apply (zenon_L128_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L317_); trivial. % 0.80/1.02 apply (zenon_L354_); trivial. % 0.80/1.02 apply (zenon_L186_); trivial. % 0.80/1.02 (* end of lemma zenon_L355_ *) % 0.80/1.02 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H33 zenon_H143 zenon_H1f8 zenon_H11b zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H62 zenon_H64 zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.02 apply (zenon_L214_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.80/1.02 apply (zenon_L165_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H58 | zenon_intro zenon_H63 ]. % 0.80/1.02 apply (zenon_L131_); trivial. % 0.80/1.02 exact (zenon_H62 zenon_H63). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.02 apply (zenon_L80_); trivial. % 0.80/1.02 exact (zenon_H11b zenon_H11c). % 0.80/1.02 (* end of lemma zenon_L356_ *) % 0.80/1.02 assert (zenon_L357_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hf4 zenon_H9d zenon_H96 zenon_H23 zenon_H1f zenon_H1c zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H40 zenon_H42 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H64 zenon_H62 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H11b zenon_H1f8 zenon_H143 zenon_H32. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L20_); trivial. % 0.80/1.02 apply (zenon_L356_); trivial. % 0.80/1.02 apply (zenon_L38_); trivial. % 0.80/1.02 (* end of lemma zenon_L357_ *) % 0.80/1.02 assert (zenon_L358_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H32 zenon_H143 zenon_H1f8 zenon_H11b zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H42 zenon_H40 zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H1c zenon_H1f zenon_H23 zenon_H96 zenon_H9d zenon_Hf4. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L357_); trivial. % 0.80/1.02 apply (zenon_L41_); trivial. % 0.80/1.02 (* end of lemma zenon_L358_ *) % 0.80/1.02 assert (zenon_L359_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2b7 zenon_H23 zenon_H1f zenon_H42 zenon_H64 zenon_H32 zenon_H2a2 zenon_H15b zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_Hf4 zenon_H9d zenon_H40 zenon_H2a9 zenon_H190 zenon_Hae zenon_H110 zenon_H96 zenon_Hf9 zenon_H1d6 zenon_H2b3 zenon_H1e4 zenon_H10a zenon_H12e zenon_H142 zenon_H11b zenon_H1f8 zenon_H162 zenon_H12c zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H143 zenon_Hd3 zenon_He2 zenon_He6 zenon_H1c zenon_H217 zenon_H219 zenon_H199 zenon_H198 zenon_H1aa zenon_H23d. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_L355_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L312_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.02 apply (zenon_L358_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.02 apply (zenon_L128_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L357_); trivial. % 0.80/1.02 apply (zenon_L354_); trivial. % 0.80/1.02 apply (zenon_L186_); trivial. % 0.80/1.02 (* end of lemma zenon_L359_ *) % 0.80/1.02 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp25)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H7c zenon_He6 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1c7 zenon_H1a zenon_H171 zenon_H143. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.02 apply (zenon_L214_); trivial. % 0.80/1.02 apply (zenon_L152_); trivial. % 0.80/1.02 apply (zenon_L93_); trivial. % 0.80/1.02 (* end of lemma zenon_L360_ *) % 0.80/1.02 assert (zenon_L361_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a884)) -> (c1_1 (a884)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(c2_1 (a884))) -> (c3_1 (a857)) -> (c2_1 (a857)) -> (c1_1 (a857)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.80/1.02 do 0 intro. intros zenon_He2 zenon_H10f zenon_Hfd zenon_H122 zenon_Hfc zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hf zenon_Hdf. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.80/1.02 apply (zenon_L304_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.80/1.02 apply (zenon_L54_); trivial. % 0.80/1.02 exact (zenon_Hdf zenon_He0). % 0.80/1.02 (* end of lemma zenon_L361_ *) % 0.80/1.02 assert (zenon_L362_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> False). % 0.80/1.02 do 0 intro. intros zenon_He1 zenon_H12c zenon_H27 zenon_H26 zenon_H25 zenon_Hfc zenon_Hfd zenon_H10f zenon_He2 zenon_Hdf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/1.02 apply (zenon_L14_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/1.02 apply (zenon_L361_); trivial. % 0.80/1.02 exact (zenon_Hdf zenon_He0). % 0.80/1.02 (* end of lemma zenon_L362_ *) % 0.80/1.02 assert (zenon_L363_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H33 zenon_He6 zenon_H12c zenon_Hfc zenon_Hfd zenon_H10f zenon_Hdf zenon_He2 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_L362_); trivial. % 0.80/1.02 (* end of lemma zenon_L363_ *) % 0.80/1.02 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(hskp23)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10c zenon_H143 zenon_H13e zenon_H13b zenon_H299 zenon_H29a zenon_H29b zenon_H40 zenon_H9d zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.02 apply (zenon_L214_); trivial. % 0.80/1.02 apply (zenon_L306_); trivial. % 0.80/1.02 (* end of lemma zenon_L364_ *) % 0.80/1.02 assert (zenon_L365_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp3)) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c1_1 (a836))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp5)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H15f zenon_H1f8 zenon_He8 zenon_He9 zenon_Hea zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H40 zenon_H1ca zenon_H1cb zenon_H1c9 zenon_H9d zenon_H11b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.02 apply (zenon_L235_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.02 apply (zenon_L170_); trivial. % 0.80/1.02 exact (zenon_H11b zenon_H11c). % 0.80/1.02 (* end of lemma zenon_L365_ *) % 0.80/1.02 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_H13e zenon_H299 zenon_H29a zenon_H29b zenon_H9d zenon_H266 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H11b zenon_H1f8 zenon_H162 zenon_H110 zenon_H32 zenon_H12c zenon_He2 zenon_Hd1 zenon_Hd3 zenon_H56 zenon_H40 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H108 zenon_H10a zenon_H143 zenon_H171 zenon_H1c7 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_He6 zenon_H82 zenon_H37 zenon_H38 zenon_H39 zenon_Hf9 zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.02 apply (zenon_L65_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.02 apply (zenon_L69_); trivial. % 0.80/1.02 apply (zenon_L360_); trivial. % 0.80/1.02 apply (zenon_L363_); trivial. % 0.80/1.02 apply (zenon_L57_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.02 apply (zenon_L65_); trivial. % 0.80/1.02 apply (zenon_L364_); trivial. % 0.80/1.02 apply (zenon_L365_); trivial. % 0.80/1.02 apply (zenon_L311_); trivial. % 0.80/1.02 (* end of lemma zenon_L366_ *) % 0.80/1.02 assert (zenon_L367_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c0_1 (a830)) -> (~(c1_1 (a830))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(c2_1 (a830))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H190 zenon_H12e zenon_H13e zenon_H9d zenon_H266 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H11b zenon_H1f8 zenon_H162 zenon_H32 zenon_H12c zenon_He2 zenon_Hd1 zenon_Hd3 zenon_H56 zenon_H40 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H108 zenon_H10a zenon_H143 zenon_H171 zenon_H1c7 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_He6 zenon_H82 zenon_Hf4 zenon_H110 zenon_H96 zenon_Hf9 zenon_H29b zenon_H299 zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H1d4 zenon_H1d6 zenon_H29a zenon_H2b3 zenon_H1e4. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L317_); trivial. % 0.80/1.02 apply (zenon_L366_); trivial. % 0.80/1.02 (* end of lemma zenon_L367_ *) % 0.80/1.02 assert (zenon_L368_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c1_1 (a836))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H11d zenon_H268 zenon_H1ca zenon_H1cb zenon_H1c9 zenon_H9d zenon_H40. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H111 | zenon_intro zenon_H269 ]. % 0.80/1.02 apply (zenon_L72_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H131 | zenon_intro zenon_H41 ]. % 0.80/1.02 apply (zenon_L170_); trivial. % 0.80/1.02 exact (zenon_H40 zenon_H41). % 0.80/1.02 (* end of lemma zenon_L368_ *) % 0.80/1.02 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H29b zenon_H29a zenon_H299 zenon_H143 zenon_H13e zenon_H125 zenon_H124 zenon_H123 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_H9d zenon_H40 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H11b zenon_H1f8 zenon_H162. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.02 apply (zenon_L223_); trivial. % 0.80/1.02 apply (zenon_L365_); trivial. % 0.80/1.02 apply (zenon_L311_); trivial. % 0.80/1.02 (* end of lemma zenon_L369_ *) % 0.80/1.02 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H194 zenon_H219 zenon_H217 zenon_H1c zenon_H39 zenon_H38 zenon_H37 zenon_Hf4 zenon_He6 zenon_He2 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd3 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_H12c zenon_H162 zenon_H1f8 zenon_H11b zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H40 zenon_H9d zenon_H299 zenon_H29a zenon_H29b zenon_H12e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_L234_); trivial. % 0.80/1.02 apply (zenon_L369_); trivial. % 0.80/1.02 apply (zenon_L186_); trivial. % 0.80/1.02 (* end of lemma zenon_L370_ *) % 0.80/1.02 assert (zenon_L371_ : ((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((hskp28)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2b8 zenon_H1aa zenon_H198 zenon_H199 zenon_H190 zenon_H12e zenon_H13e zenon_H266 zenon_H162 zenon_H110 zenon_H12c zenon_He2 zenon_Hd3 zenon_H56 zenon_H10a zenon_H171 zenon_H1c7 zenon_He6 zenon_H82 zenon_Hf9 zenon_H32 zenon_H143 zenon_H1f8 zenon_H11b zenon_H64 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H42 zenon_H1f zenon_H23 zenon_H96 zenon_H217 zenon_H219 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c zenon_H18d zenon_H2a9 zenon_H29b zenon_H29a zenon_H299 zenon_H40 zenon_H9d zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L312_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.02 apply (zenon_L157_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L357_); trivial. % 0.80/1.02 apply (zenon_L366_); trivial. % 0.80/1.02 apply (zenon_L186_); trivial. % 0.80/1.02 apply (zenon_L370_); trivial. % 0.80/1.02 (* end of lemma zenon_L371_ *) % 0.80/1.02 assert (zenon_L372_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp17)) -> (~(c3_1 (a851))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H12c zenon_H62 zenon_H59 zenon_H5b zenon_H5a zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H125 zenon_H124 zenon_H123 zenon_Hf zenon_Hdf. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/1.02 apply (zenon_L334_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/1.02 apply (zenon_L75_); trivial. % 0.80/1.02 exact (zenon_Hdf zenon_He0). % 0.80/1.02 (* end of lemma zenon_L372_ *) % 0.80/1.02 assert (zenon_L373_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H12e zenon_H266 zenon_H20c zenon_H20b zenon_H20a zenon_H245 zenon_H244 zenon_H243 zenon_H2b3 zenon_H62 zenon_H5a zenon_H5b zenon_H59 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H12c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_L372_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L373_ *) % 0.80/1.02 assert (zenon_L374_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_He6 zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H171 zenon_H1a zenon_H20b zenon_H20c zenon_H1c7 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H20a zenon_H266 zenon_H143. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.02 apply (zenon_L214_); trivial. % 0.80/1.02 apply (zenon_L259_); trivial. % 0.80/1.02 apply (zenon_L93_); trivial. % 0.80/1.02 (* end of lemma zenon_L374_ *) % 0.80/1.02 assert (zenon_L375_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(hskp25)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_He6 zenon_He2 zenon_Hdf zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H88 zenon_H8a zenon_H89 zenon_H1a zenon_Hb9 zenon_H20a zenon_H266. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.02 apply (zenon_L212_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.02 apply (zenon_L190_); trivial. % 0.80/1.02 apply (zenon_L183_); trivial. % 0.80/1.02 apply (zenon_L56_); trivial. % 0.80/1.02 (* end of lemma zenon_L375_ *) % 0.80/1.02 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H9c zenon_H32 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H266 zenon_H20a zenon_Hb9 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_Hdf zenon_He2 zenon_He6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L375_); trivial. % 0.80/1.02 apply (zenon_L76_); trivial. % 0.80/1.02 (* end of lemma zenon_L376_ *) % 0.80/1.02 assert (zenon_L377_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_H32 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H143 zenon_H266 zenon_H20a zenon_H1c7 zenon_H20c zenon_H20b zenon_H171 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L374_); trivial. % 0.80/1.02 apply (zenon_L76_); trivial. % 0.80/1.02 apply (zenon_L376_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L377_ *) % 0.80/1.02 assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(c3_1 (a851))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H194 zenon_H190 zenon_H32 zenon_H143 zenon_H1c7 zenon_H171 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4 zenon_H12c zenon_H299 zenon_H29a zenon_H29b zenon_H59 zenon_H5b zenon_H5a zenon_H2b3 zenon_H243 zenon_H244 zenon_H245 zenon_H20a zenon_H20b zenon_H20c zenon_H266 zenon_H12e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L373_); trivial. % 0.80/1.02 apply (zenon_L377_); trivial. % 0.80/1.02 (* end of lemma zenon_L378_ *) % 0.80/1.02 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H198 zenon_H199 zenon_H24c zenon_H12c zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H10a zenon_H1e4 zenon_H1d6 zenon_H1d4 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H2b5 zenon_H20c zenon_H20b zenon_H20a zenon_H29b zenon_H29a zenon_H299 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L343_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.02 apply (zenon_L318_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.02 apply (zenon_L333_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.02 apply (zenon_L128_); trivial. % 0.80/1.02 apply (zenon_L378_); trivial. % 0.80/1.02 (* end of lemma zenon_L379_ *) % 0.80/1.02 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H243 zenon_H244 zenon_H245 zenon_H171 zenon_H20b zenon_H20c zenon_H1c7 zenon_H20a zenon_H266 zenon_H143 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H32. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L260_); trivial. % 0.80/1.02 apply (zenon_L76_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L380_ *) % 0.80/1.02 assert (zenon_L381_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H194 zenon_H190 zenon_H12e zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H243 zenon_H244 zenon_H245 zenon_H171 zenon_H20b zenon_H20c zenon_H1c7 zenon_H20a zenon_H266 zenon_H143 zenon_H12c zenon_H32 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H59 zenon_H5a zenon_H5b zenon_H64. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L166_); trivial. % 0.80/1.02 apply (zenon_L380_); trivial. % 0.80/1.02 (* end of lemma zenon_L381_ *) % 0.80/1.02 assert (zenon_L382_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H198 zenon_H199 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H12c zenon_H10a zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hae zenon_H2b5 zenon_H20c zenon_H20b zenon_H20a zenon_H29b zenon_H29a zenon_H299 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.02 apply (zenon_L343_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.02 apply (zenon_L345_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.02 apply (zenon_L333_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.02 apply (zenon_L128_); trivial. % 0.80/1.02 apply (zenon_L381_); trivial. % 0.80/1.02 (* end of lemma zenon_L382_ *) % 0.80/1.02 assert (zenon_L383_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2b7 zenon_H64 zenon_H2a2 zenon_H15b zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H193 zenon_H190 zenon_H143 zenon_H171 zenon_H142 zenon_Hf4 zenon_H32 zenon_He6 zenon_He2 zenon_H2b3 zenon_Hf1 zenon_H1c7 zenon_H30 zenon_Hb9 zenon_H23 zenon_H2a9 zenon_H12e zenon_H20a zenon_H20b zenon_H20c zenon_H2b5 zenon_Hae zenon_H110 zenon_H96 zenon_Hf9 zenon_H1d6 zenon_H1e4 zenon_H10a zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H12c zenon_H24c zenon_H199 zenon_H198 zenon_H1aa zenon_H23d. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_L379_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 apply (zenon_L382_); trivial. % 0.80/1.02 (* end of lemma zenon_L383_ *) % 0.80/1.02 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H9c zenon_H32 zenon_H2e zenon_H30 zenon_H266 zenon_H20a zenon_Hb9 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_Hdf zenon_He2 zenon_He6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L375_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.02 apply (zenon_L14_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.02 apply (zenon_L212_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.02 apply (zenon_L192_); trivial. % 0.80/1.02 apply (zenon_L183_); trivial. % 0.80/1.02 exact (zenon_H2e zenon_H2f). % 0.80/1.02 apply (zenon_L56_); trivial. % 0.80/1.02 (* end of lemma zenon_L384_ *) % 0.80/1.02 assert (zenon_L385_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H12e zenon_H2a9 zenon_H2e zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_He6 zenon_He2 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_Hb9 zenon_H20a zenon_H266 zenon_H30 zenon_H32 zenon_Hf4. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_L310_); trivial. % 0.80/1.02 apply (zenon_L384_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L385_ *) % 0.80/1.02 assert (zenon_L386_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c2_1 (a884))) -> (c1_1 (a884)) -> (c3_1 (a884)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp19)) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H33 zenon_He6 zenon_H12c zenon_Hfc zenon_Hfd zenon_H10f zenon_Hdf zenon_He2 zenon_H44 zenon_H13b zenon_H16f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_L362_); trivial. % 0.80/1.02 (* end of lemma zenon_L386_ *) % 0.80/1.02 assert (zenon_L387_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp30)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_Hcf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c7 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.02 apply (zenon_L212_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.02 apply (zenon_L348_); trivial. % 0.80/1.02 apply (zenon_L183_); trivial. % 0.80/1.02 (* end of lemma zenon_L387_ *) % 0.80/1.02 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H15f zenon_H110 zenon_He6 zenon_H12c zenon_Hdf zenon_He2 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H20a zenon_H266 zenon_H37 zenon_H38 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hf9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.02 apply (zenon_L65_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_L387_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/1.02 apply (zenon_L227_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/1.02 apply (zenon_L361_); trivial. % 0.80/1.02 exact (zenon_Hdf zenon_He0). % 0.80/1.02 (* end of lemma zenon_L388_ *) % 0.80/1.02 assert (zenon_L389_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H9c zenon_He6 zenon_He2 zenon_Hdf zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H20a zenon_H266. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.02 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.02 apply (zenon_L387_); trivial. % 0.80/1.02 apply (zenon_L56_); trivial. % 0.80/1.02 (* end of lemma zenon_L389_ *) % 0.80/1.02 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_H162 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H20a zenon_H266 zenon_Hf9 zenon_H39 zenon_H38 zenon_H37 zenon_He6 zenon_H171 zenon_H16f zenon_He2 zenon_H12c zenon_H32 zenon_H110 zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.02 apply (zenon_L65_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L94_); trivial. % 0.80/1.02 apply (zenon_L386_); trivial. % 0.80/1.02 apply (zenon_L388_); trivial. % 0.80/1.02 apply (zenon_L389_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L390_ *) % 0.80/1.02 assert (zenon_L391_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp17)) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H62 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_Hf zenon_H20a zenon_H20b zenon_H20c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.02 apply (zenon_L212_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.80/1.02 apply (zenon_L165_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H58 | zenon_intro zenon_H63 ]. % 0.80/1.02 apply (zenon_L255_); trivial. % 0.80/1.02 exact (zenon_H62 zenon_H63). % 0.80/1.02 apply (zenon_L183_); trivial. % 0.80/1.02 (* end of lemma zenon_L391_ *) % 0.80/1.02 assert (zenon_L392_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H33 zenon_H143 zenon_H30 zenon_H2e zenon_H20a zenon_H20b zenon_H20c zenon_H266 zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.02 apply (zenon_L214_); trivial. % 0.80/1.02 apply (zenon_L262_); trivial. % 0.80/1.02 (* end of lemma zenon_L392_ *) % 0.80/1.02 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Had zenon_H12e zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H266 zenon_H20a zenon_H1c7 zenon_H20c zenon_H20b zenon_H171 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.02 apply (zenon_L374_); trivial. % 0.80/1.02 apply (zenon_L392_); trivial. % 0.80/1.02 apply (zenon_L384_); trivial. % 0.80/1.02 apply (zenon_L268_); trivial. % 0.80/1.02 (* end of lemma zenon_L393_ *) % 0.80/1.02 assert (zenon_L394_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H190 zenon_H12e zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H1c7 zenon_H171 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H64 zenon_H20c zenon_H20b zenon_H20a zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H266. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.02 apply (zenon_L391_); trivial. % 0.80/1.02 apply (zenon_L393_); trivial. % 0.80/1.02 (* end of lemma zenon_L394_ *) % 0.80/1.02 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H27b zenon_H23f zenon_H16f zenon_H162 zenon_H23d zenon_H1aa zenon_H198 zenon_H199 zenon_H24c zenon_H12c zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H10a zenon_H1e4 zenon_H1d6 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H2b5 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193 zenon_H299 zenon_H29a zenon_H29b zenon_H2a2 zenon_H64 zenon_H2b7. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_L383_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L385_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L317_); trivial. % 0.80/1.03 apply (zenon_L390_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L394_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.03 apply (zenon_L333_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L166_); trivial. % 0.80/1.03 apply (zenon_L390_); trivial. % 0.80/1.03 (* end of lemma zenon_L395_ *) % 0.80/1.03 assert (zenon_L396_ : ((~(hskp5))\/((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (ndr1_0) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2bb zenon_H23f zenon_H23d zenon_H1aa zenon_H198 zenon_H155 zenon_H1e4 zenon_H1d6 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H2b5 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193 zenon_H299 zenon_H29a zenon_H29b zenon_H2a2 zenon_H64 zenon_H2b7 zenon_H27e zenon_H27f zenon_H280 zenon_H281 zenon_Hf zenon_H5 zenon_H11e zenon_H219. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.80/1.03 apply (zenon_L277_); trivial. % 0.80/1.03 apply (zenon_L352_); trivial. % 0.80/1.03 (* end of lemma zenon_L396_ *) % 0.80/1.03 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H8a zenon_H89 zenon_H11b zenon_H1bc zenon_H299 zenon_H29a zenon_H29b zenon_H213 zenon_H293. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.80/1.03 apply (zenon_L287_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.80/1.03 apply (zenon_L302_); trivial. % 0.80/1.03 exact (zenon_H213 zenon_H214). % 0.80/1.03 apply (zenon_L16_); trivial. % 0.80/1.03 (* end of lemma zenon_L397_ *) % 0.80/1.03 assert (zenon_L398_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c1_1 (a831))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_H281 zenon_H299 zenon_H29a zenon_H29b zenon_H213 zenon_H293 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H1bc zenon_H11b zenon_H88 zenon_H8a zenon_H89 zenon_Hb9 zenon_H27f zenon_H280 zenon_H13b zenon_H13e. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.03 apply (zenon_L286_); trivial. % 0.80/1.03 apply (zenon_L397_); trivial. % 0.80/1.03 (* end of lemma zenon_L398_ *) % 0.80/1.03 assert (zenon_L399_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(c1_1 (a831))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H194 zenon_Hf4 zenon_H280 zenon_H27f zenon_Hb9 zenon_H11b zenon_H1bc zenon_H293 zenon_H213 zenon_H29b zenon_H29a zenon_H299 zenon_H281 zenon_Hf1 zenon_H32 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H17a zenon_H15b zenon_H266 zenon_H2e zenon_H30 zenon_H23 zenon_H162. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_L230_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.03 apply (zenon_L398_); trivial. % 0.80/1.03 apply (zenon_L291_); trivial. % 0.80/1.03 (* end of lemma zenon_L399_ *) % 0.80/1.03 assert (zenon_L400_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (c1_1 (a866)) -> (c0_1 (a866)) -> (~(c3_1 (a866))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2bc zenon_H245 zenon_H244 zenon_H243 zenon_H1da zenon_H1d9 zenon_H1d8 zenon_Hf zenon_H54. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H232 | zenon_intro zenon_Hc5 ]. % 0.80/1.03 apply (zenon_L212_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/1.03 apply (zenon_L161_); trivial. % 0.80/1.03 exact (zenon_H54 zenon_H55). % 0.80/1.03 (* end of lemma zenon_L400_ *) % 0.80/1.03 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e1 zenon_H82 zenon_H1be zenon_H3 zenon_H89 zenon_H8a zenon_H88 zenon_H243 zenon_H244 zenon_H245 zenon_H2bc. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.03 apply (zenon_L400_); trivial. % 0.80/1.03 apply (zenon_L143_); trivial. % 0.80/1.03 (* end of lemma zenon_L401_ *) % 0.80/1.03 assert (zenon_L402_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp28)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1bc zenon_H9 zenon_H59 zenon_H5a zenon_H5b zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H11b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/1.03 apply (zenon_L278_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/1.03 apply (zenon_L27_); trivial. % 0.80/1.03 exact (zenon_H9 zenon_Ha). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L156_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L402_ *) % 0.80/1.03 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_Had zenon_H32 zenon_H30 zenon_H2e zenon_H1bc zenon_H11b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H281 zenon_H280 zenon_H27f zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_Hb9 zenon_H171 zenon_H23. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_L402_); trivial. % 0.80/1.03 apply (zenon_L101_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_L402_); trivial. % 0.80/1.03 apply (zenon_L16_); trivial. % 0.80/1.03 (* end of lemma zenon_L403_ *) % 0.80/1.03 assert (zenon_L404_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a838))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H10a zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1e7 zenon_H1e6 zenon_H1fa zenon_H1e5 zenon_Hf zenon_H108. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.80/1.03 apply (zenon_L47_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.80/1.03 apply (zenon_L172_); trivial. % 0.80/1.03 exact (zenon_H108 zenon_H109). % 0.80/1.03 (* end of lemma zenon_L404_ *) % 0.80/1.03 assert (zenon_L405_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp15)) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp0)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H11d zenon_H297 zenon_H108 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H10a zenon_H295. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H111 | zenon_intro zenon_H298 ]. % 0.80/1.03 apply (zenon_L72_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H1fa | zenon_intro zenon_H296 ]. % 0.80/1.03 apply (zenon_L404_); trivial. % 0.80/1.03 exact (zenon_H295 zenon_H296). % 0.80/1.03 (* end of lemma zenon_L405_ *) % 0.80/1.03 assert (zenon_L406_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H219 zenon_H297 zenon_H295 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H108 zenon_H10a zenon_Hf zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.03 apply (zenon_L276_); trivial. % 0.80/1.03 apply (zenon_L405_); trivial. % 0.80/1.03 (* end of lemma zenon_L406_ *) % 0.80/1.03 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a831))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H194 zenon_Hf4 zenon_H162 zenon_H1f8 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H280 zenon_H27f zenon_Hb9 zenon_H11b zenon_H1bc zenon_H293 zenon_H213 zenon_H281 zenon_Hf1 zenon_H30 zenon_H23 zenon_H32 zenon_H299 zenon_H29a zenon_H29b zenon_H2e zenon_H2a9. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_L310_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.03 apply (zenon_L398_); trivial. % 0.80/1.03 apply (zenon_L297_); trivial. % 0.80/1.03 (* end of lemma zenon_L407_ *) % 0.80/1.03 assert (zenon_L408_ : (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56))))) -> (ndr1_0) -> (~(c1_1 (a829))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H232 zenon_Hf zenon_H2bd zenon_H24 zenon_H2be zenon_H2bf. % 0.80/1.03 generalize (zenon_H232 (a829)). zenon_intro zenon_H2c0. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_He | zenon_intro zenon_H2c1 ]. % 0.80/1.03 exact (zenon_He zenon_Hf). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ]. % 0.80/1.03 exact (zenon_H2bd zenon_H2c3). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c4 ]. % 0.80/1.03 generalize (zenon_H24 (a829)). zenon_intro zenon_H2c6. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H2c6); [ zenon_intro zenon_He | zenon_intro zenon_H2c7 ]. % 0.80/1.03 exact (zenon_He zenon_Hf). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2c8 ]. % 0.80/1.03 exact (zenon_H2be zenon_H2c9). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2ca ]. % 0.80/1.03 exact (zenon_H2bf zenon_H2c4). % 0.80/1.03 exact (zenon_H2ca zenon_H2c5). % 0.80/1.03 exact (zenon_H2bf zenon_H2c4). % 0.80/1.03 (* end of lemma zenon_L408_ *) % 0.80/1.03 assert (zenon_L409_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(c3_1 (a829))) -> (~(c0_1 (a829))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c1_1 (a829))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp2)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H23a zenon_H2bf zenon_H2be zenon_H24 zenon_H2bd zenon_Hf zenon_H1 zenon_H7a. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H232 | zenon_intro zenon_H23b ]. % 0.80/1.03 apply (zenon_L408_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H2 | zenon_intro zenon_H7b ]. % 0.80/1.03 exact (zenon_H1 zenon_H2). % 0.80/1.03 exact (zenon_H7a zenon_H7b). % 0.80/1.03 (* end of lemma zenon_L409_ *) % 0.80/1.03 assert (zenon_L410_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp19)) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> False). % 0.80/1.03 do 0 intro. intros zenon_He6 zenon_H12c zenon_Hdf zenon_H2e zenon_H30 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1 zenon_H7a zenon_H23a zenon_H44 zenon_H13b zenon_H16f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.03 apply (zenon_L92_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H24 | zenon_intro zenon_H12d ]. % 0.80/1.03 apply (zenon_L409_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H122 | zenon_intro zenon_He0 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.03 apply (zenon_L409_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.03 apply (zenon_L95_); trivial. % 0.80/1.03 exact (zenon_H2e zenon_H2f). % 0.80/1.03 exact (zenon_Hdf zenon_He0). % 0.80/1.03 (* end of lemma zenon_L410_ *) % 0.80/1.03 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp2)) -> (~(hskp9)) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp11)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e zenon_H30 zenon_H7a zenon_H1 zenon_H2bd zenon_H2be zenon_H2bf zenon_H23a zenon_H2e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.03 apply (zenon_L409_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.03 apply (zenon_L9_); trivial. % 0.80/1.03 exact (zenon_H2e zenon_H2f). % 0.80/1.03 (* end of lemma zenon_L411_ *) % 0.80/1.03 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H15f zenon_H23 zenon_H30 zenon_H2e zenon_H2bd zenon_H2be zenon_H2bf zenon_H1 zenon_H7a zenon_H23a zenon_H15b zenon_H17a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_L98_); trivial. % 0.80/1.03 apply (zenon_L411_); trivial. % 0.80/1.03 (* end of lemma zenon_L412_ *) % 0.80/1.03 assert (zenon_L413_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (ndr1_0) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H147 zenon_Hf zenon_H2be zenon_H2bd zenon_H2bf. % 0.80/1.03 generalize (zenon_H147 (a829)). zenon_intro zenon_H2cb. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_He | zenon_intro zenon_H2cc ]. % 0.80/1.03 exact (zenon_He zenon_Hf). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2cd ]. % 0.80/1.03 exact (zenon_H2be zenon_H2c9). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c4 ]. % 0.80/1.03 exact (zenon_H2bd zenon_H2c3). % 0.80/1.03 exact (zenon_H2bf zenon_H2c4). % 0.80/1.03 (* end of lemma zenon_L413_ *) % 0.80/1.03 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp7)) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp6)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H9c zenon_H293 zenon_H15b zenon_H2be zenon_H2bd zenon_H2bf zenon_H15d zenon_H213. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/1.03 apply (zenon_L35_); trivial. % 0.80/1.03 exact (zenon_H15b zenon_H15c). % 0.80/1.03 exact (zenon_H213 zenon_H214). % 0.80/1.03 (* end of lemma zenon_L414_ *) % 0.80/1.03 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> False). % 0.80/1.03 do 0 intro. intros zenon_Hf3 zenon_H23 zenon_H30 zenon_H2e zenon_H2bd zenon_H2be zenon_H2bf zenon_H1 zenon_H7a zenon_H23a zenon_H59 zenon_H5a zenon_H5b zenon_Hf1. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_L59_); trivial. % 0.80/1.03 apply (zenon_L411_); trivial. % 0.80/1.03 (* end of lemma zenon_L415_ *) % 0.80/1.03 assert (zenon_L416_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a829))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H193 zenon_H12e zenon_Hf1 zenon_H162 zenon_H23 zenon_H15b zenon_H17a zenon_H16f zenon_H23a zenon_H7a zenon_H2bf zenon_H2be zenon_H2bd zenon_H30 zenon_H2e zenon_H12c zenon_He6 zenon_H15d zenon_H213 zenon_H293 zenon_Hf4 zenon_H1 zenon_H5 zenon_H7. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.03 apply (zenon_L4_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.03 apply (zenon_L410_); trivial. % 0.80/1.03 apply (zenon_L412_); trivial. % 0.80/1.03 apply (zenon_L414_); trivial. % 0.80/1.03 apply (zenon_L415_); trivial. % 0.80/1.03 (* end of lemma zenon_L416_ *) % 0.80/1.03 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp7)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H9c zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H40 zenon_H9d zenon_H15b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/1.03 apply (zenon_L137_); trivial. % 0.80/1.03 exact (zenon_H15b zenon_H15c). % 0.80/1.03 (* end of lemma zenon_L417_ *) % 0.80/1.03 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp7)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H10c zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H15b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hf. zenon_intro zenon_H10d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hfd. zenon_intro zenon_H10e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H10f. zenon_intro zenon_Hfc. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/1.03 apply (zenon_L86_); trivial. % 0.80/1.03 exact (zenon_H15b zenon_H15c). % 0.80/1.03 (* end of lemma zenon_L418_ *) % 0.80/1.03 assert (zenon_L419_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> False). % 0.80/1.03 do 0 intro. intros zenon_Had zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_H37 zenon_H38 zenon_H39 zenon_Hf9. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.03 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.03 apply (zenon_L65_); trivial. % 0.80/1.03 apply (zenon_L418_); trivial. % 0.80/1.03 (* end of lemma zenon_L419_ *) % 0.80/1.03 assert (zenon_L420_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H197 zenon_H190 zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L91_); trivial. % 0.80/1.03 apply (zenon_L419_); trivial. % 0.80/1.03 (* end of lemma zenon_L420_ *) % 0.80/1.03 assert (zenon_L421_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H190 zenon_H110 zenon_Hf9 zenon_H163 zenon_H7 zenon_H5 zenon_H1 zenon_Hf4 zenon_H293 zenon_H213 zenon_H15d zenon_He6 zenon_H12c zenon_H30 zenon_H2bd zenon_H2be zenon_H2bf zenon_H7a zenon_H23a zenon_H16f zenon_H17a zenon_H15b zenon_H23 zenon_H162 zenon_Hf1 zenon_H12e zenon_H193. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L416_); trivial. % 0.80/1.03 apply (zenon_L420_); trivial. % 0.80/1.03 (* end of lemma zenon_L421_ *) % 0.80/1.03 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H207 zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_H5 zenon_H1a8. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.03 apply (zenon_L124_); trivial. % 0.80/1.03 apply (zenon_L418_); trivial. % 0.80/1.03 (* end of lemma zenon_L422_ *) % 0.80/1.03 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H226 zenon_H1f8 zenon_H2bf zenon_H2bd zenon_H2be zenon_H40 zenon_H9d zenon_H11b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L170_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L423_ *) % 0.80/1.03 assert (zenon_L424_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1aa zenon_H190 zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_H23a zenon_H7a zenon_H1 zenon_H163 zenon_Hf zenon_H229 zenon_H22a zenon_H22b zenon_H5 zenon_H203. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L204_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L206_); trivial. % 0.80/1.03 apply (zenon_L419_); trivial. % 0.80/1.03 (* end of lemma zenon_L424_ *) % 0.80/1.03 assert (zenon_L425_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H23d zenon_H1a8 zenon_H203 zenon_H5 zenon_H22b zenon_H22a zenon_H229 zenon_Hf zenon_H163 zenon_H7a zenon_H23a zenon_Hf9 zenon_H2be zenon_H2bd zenon_H2bf zenon_H15b zenon_H15d zenon_H110 zenon_H190 zenon_H1aa. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_L424_); trivial. % 0.80/1.03 apply (zenon_L422_); trivial. % 0.80/1.03 (* end of lemma zenon_L425_ *) % 0.80/1.03 assert (zenon_L426_ : ((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H240 zenon_H23f zenon_H1f8 zenon_H11b zenon_H40 zenon_H9d zenon_H1aa zenon_H190 zenon_H110 zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_H23a zenon_H7a zenon_H163 zenon_H5 zenon_H203 zenon_H1a8 zenon_H23d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_L425_); trivial. % 0.80/1.03 apply (zenon_L423_); trivial. % 0.80/1.03 (* end of lemma zenon_L426_ *) % 0.80/1.03 assert (zenon_L427_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp25)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(hskp4)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e zenon_H155 zenon_H1a zenon_H38 zenon_H39 zenon_Hb9 zenon_H20c zenon_H20b zenon_H20a zenon_H5. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H65 | zenon_intro zenon_H156 ]. % 0.80/1.03 apply (zenon_L44_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H145 | zenon_intro zenon_H6 ]. % 0.80/1.03 apply (zenon_L183_); trivial. % 0.80/1.03 exact (zenon_H5 zenon_H6). % 0.80/1.03 (* end of lemma zenon_L427_ *) % 0.80/1.03 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp17)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(hskp4)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H81 zenon_H155 zenon_H62 zenon_H59 zenon_H5a zenon_H5b zenon_H64 zenon_H20c zenon_H20b zenon_H20a zenon_H5. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H65 | zenon_intro zenon_H156 ]. % 0.80/1.03 apply (zenon_L29_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H145 | zenon_intro zenon_H6 ]. % 0.80/1.03 apply (zenon_L183_); trivial. % 0.80/1.03 exact (zenon_H5 zenon_H6). % 0.80/1.03 (* end of lemma zenon_L428_ *) % 0.80/1.03 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (~(hskp6)) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp2)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H9c zenon_H224 zenon_H114 zenon_H113 zenon_H112 zenon_H213 zenon_H2be zenon_H2bd zenon_H2bf zenon_H293 zenon_H7a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/1.03 apply (zenon_L72_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.80/1.03 apply (zenon_L35_); trivial. % 0.80/1.03 exact (zenon_H213 zenon_H214). % 0.80/1.03 exact (zenon_H7a zenon_H7b). % 0.80/1.03 (* end of lemma zenon_L429_ *) % 0.80/1.03 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H221 zenon_H1aa zenon_H110 zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_H7 zenon_H5 zenon_H1 zenon_H163 zenon_Hf4 zenon_He2 zenon_H1c7 zenon_H20c zenon_H20b zenon_Hf1 zenon_H32 zenon_H12c zenon_H30 zenon_H16f zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H162 zenon_H12e zenon_H190 zenon_H193. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L197_); trivial. % 0.80/1.03 apply (zenon_L420_); trivial. % 0.80/1.03 (* end of lemma zenon_L430_ *) % 0.80/1.03 assert (zenon_L431_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H226 zenon_H219 zenon_H205 zenon_H5 zenon_H2be zenon_H2bd zenon_H2bf zenon_H293 zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H215. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.03 apply (zenon_L185_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H111 | zenon_intro zenon_H206 ]. % 0.80/1.03 apply (zenon_L72_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H131 | zenon_intro zenon_H6 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.80/1.03 apply (zenon_L168_); trivial. % 0.80/1.03 exact (zenon_H213 zenon_H214). % 0.80/1.03 exact (zenon_H5 zenon_H6). % 0.80/1.03 (* end of lemma zenon_L431_ *) % 0.80/1.03 assert (zenon_L432_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c1_1 (a836))) -> (c1_1 (a866)) -> (c0_1 (a866)) -> (~(c3_1 (a866))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2b3 zenon_H1cb zenon_H1ca zenon_H131 zenon_H1c9 zenon_H1da zenon_H1d9 zenon_H1d8 zenon_Hf zenon_H62. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H86 | zenon_intro zenon_H2b4 ]. % 0.80/1.03 apply (zenon_L168_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_Hbb | zenon_intro zenon_H63 ]. % 0.80/1.03 apply (zenon_L161_); trivial. % 0.80/1.03 exact (zenon_H62 zenon_H63). % 0.80/1.03 (* end of lemma zenon_L432_ *) % 0.80/1.03 assert (zenon_L433_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp17)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e4 zenon_H2ce zenon_H62 zenon_H2b3 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1d4 zenon_H1d6. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.03 apply (zenon_L160_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H147 | zenon_intro zenon_H2cf ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H131 | zenon_intro zenon_H1d5 ]. % 0.80/1.03 apply (zenon_L432_); trivial. % 0.80/1.03 exact (zenon_H1d4 zenon_H1d5). % 0.80/1.03 (* end of lemma zenon_L433_ *) % 0.80/1.03 assert (zenon_L434_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H1d6 zenon_H1d4 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H2be zenon_H2bd zenon_H2bf zenon_H2b3 zenon_H2ce zenon_H1e4. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L433_); trivial. % 0.80/1.03 apply (zenon_L41_); trivial. % 0.80/1.03 (* end of lemma zenon_L434_ *) % 0.80/1.03 assert (zenon_L435_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H197 zenon_H198 zenon_H155 zenon_H20c zenon_H20b zenon_H20a zenon_H7 zenon_H5 zenon_H1 zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hae zenon_H190 zenon_H193. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.03 apply (zenon_L325_); trivial. % 0.80/1.03 apply (zenon_L201_); trivial. % 0.80/1.03 (* end of lemma zenon_L435_ *) % 0.80/1.03 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2b8 zenon_H23d zenon_H110 zenon_H96 zenon_H1a8 zenon_H203 zenon_H5 zenon_H22b zenon_H22a zenon_H229 zenon_H193 zenon_H190 zenon_Hae zenon_H64 zenon_H7 zenon_H20a zenon_H20b zenon_H20c zenon_H155 zenon_H198 zenon_H1aa. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L204_); trivial. % 0.80/1.03 apply (zenon_L435_); trivial. % 0.80/1.03 apply (zenon_L210_); trivial. % 0.80/1.03 (* end of lemma zenon_L436_ *) % 0.80/1.03 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H226 zenon_H2b7 zenon_H23d zenon_H110 zenon_H96 zenon_H1a8 zenon_H193 zenon_H64 zenon_H7 zenon_H203 zenon_H5 zenon_H22b zenon_H22a zenon_H229 zenon_H190 zenon_Hae zenon_H1d6 zenon_H2be zenon_H2bd zenon_H2bf zenon_H2b3 zenon_H2ce zenon_H1e4 zenon_H20a zenon_H20b zenon_H20c zenon_H155 zenon_H198 zenon_H1aa. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L204_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.03 apply (zenon_L434_); trivial. % 0.80/1.03 apply (zenon_L201_); trivial. % 0.80/1.03 apply (zenon_L436_); trivial. % 0.80/1.03 (* end of lemma zenon_L437_ *) % 0.80/1.03 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((hskp28)\/(hskp10)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((hskp9)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H27b zenon_H23c zenon_H2b7 zenon_H96 zenon_H1d6 zenon_H2b3 zenon_H2ce zenon_H1e4 zenon_H203 zenon_H23d zenon_H1a8 zenon_H1aa zenon_H198 zenon_H215 zenon_H224 zenon_H32 zenon_H48 zenon_Hd zenon_Hb9 zenon_H155 zenon_H64 zenon_H85 zenon_Hae zenon_H190 zenon_H219 zenon_H7 zenon_H5 zenon_Hf4 zenon_H293 zenon_H15d zenon_He6 zenon_H12c zenon_H30 zenon_H2bd zenon_H2be zenon_H2bf zenon_H7a zenon_H23a zenon_H16f zenon_H17a zenon_H23 zenon_H162 zenon_Hf1 zenon_H12e zenon_H193 zenon_H171 zenon_H1c7 zenon_He2 zenon_H163 zenon_Hf9 zenon_H110 zenon_H23e zenon_H205 zenon_H23f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L416_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.03 apply (zenon_L4_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.03 apply (zenon_L185_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.03 apply (zenon_L7_); trivial. % 0.80/1.03 apply (zenon_L427_); trivial. % 0.80/1.03 apply (zenon_L23_); trivial. % 0.80/1.03 apply (zenon_L428_); trivial. % 0.80/1.03 apply (zenon_L429_); trivial. % 0.80/1.03 apply (zenon_L41_); trivial. % 0.80/1.03 apply (zenon_L201_); trivial. % 0.80/1.03 apply (zenon_L430_); trivial. % 0.80/1.03 apply (zenon_L422_); trivial. % 0.80/1.03 apply (zenon_L431_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_L425_); trivial. % 0.80/1.03 apply (zenon_L437_); trivial. % 0.80/1.03 (* end of lemma zenon_L438_ *) % 0.80/1.03 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H13d zenon_H1f8 zenon_H2bf zenon_H2bd zenon_H2be zenon_H11b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L80_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L439_ *) % 0.80/1.03 assert (zenon_L440_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H143 zenon_H1f8 zenon_H11b zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.03 apply (zenon_L214_); trivial. % 0.80/1.03 apply (zenon_L439_); trivial. % 0.80/1.03 (* end of lemma zenon_L440_ *) % 0.80/1.03 assert (zenon_L441_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H23f zenon_H143 zenon_H1f8 zenon_H11b zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H9d zenon_H40 zenon_H15d zenon_Hf4. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_L440_); trivial. % 0.80/1.03 apply (zenon_L417_); trivial. % 0.80/1.03 apply (zenon_L423_); trivial. % 0.80/1.03 (* end of lemma zenon_L441_ *) % 0.80/1.03 assert (zenon_L442_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (~(hskp17)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H64 zenon_H1a1 zenon_H19f zenon_H62 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H15b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/1.03 apply (zenon_L256_); trivial. % 0.80/1.03 exact (zenon_H15b zenon_H15c). % 0.80/1.03 (* end of lemma zenon_L442_ *) % 0.80/1.03 assert (zenon_L443_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H190 zenon_H12e zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H1c7 zenon_H171 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4 zenon_Hf zenon_H2be zenon_H2bd zenon_H2bf zenon_H266 zenon_H19f zenon_H1a1 zenon_H20a zenon_H20b zenon_H20c zenon_H64 zenon_H245 zenon_H244 zenon_H243 zenon_H15b zenon_H15d. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L442_); trivial. % 0.80/1.03 apply (zenon_L393_); trivial. % 0.80/1.03 (* end of lemma zenon_L443_ *) % 0.80/1.03 assert (zenon_L444_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H197 zenon_H199 zenon_H190 zenon_H32 zenon_H12c zenon_H143 zenon_H171 zenon_H24c zenon_Hb9 zenon_Hf4 zenon_H2be zenon_H2bd zenon_H2bf zenon_H64 zenon_H15b zenon_H15d zenon_He6 zenon_He2 zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a zenon_H12e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.03 apply (zenon_L269_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L442_); trivial. % 0.80/1.03 apply (zenon_L377_); trivial. % 0.80/1.03 (* end of lemma zenon_L444_ *) % 0.80/1.03 assert (zenon_L445_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (ndr1_0) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H190 zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H266 zenon_H20a zenon_H1c7 zenon_H20c zenon_H20b zenon_H171 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_He6 zenon_H1d6 zenon_H1d4 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_Hf zenon_H2be zenon_H2bd zenon_H2bf zenon_H2b3 zenon_H2ce zenon_H1e4. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L433_); trivial. % 0.80/1.03 apply (zenon_L263_); trivial. % 0.80/1.03 (* end of lemma zenon_L445_ *) % 0.80/1.03 assert (zenon_L446_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp8)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H197 zenon_H198 zenon_H82 zenon_H7d zenon_H7a zenon_Hc4 zenon_H1e4 zenon_H2ce zenon_H2b3 zenon_H2bf zenon_H2bd zenon_H2be zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1d4 zenon_H1d6 zenon_Hae zenon_H190. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.03 apply (zenon_L434_); trivial. % 0.80/1.03 apply (zenon_L163_); trivial. % 0.80/1.03 (* end of lemma zenon_L446_ *) % 0.80/1.03 assert (zenon_L447_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H190 zenon_H32 zenon_H30 zenon_H2e zenon_H143 zenon_H1c7 zenon_H171 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_He6 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H64 zenon_H20c zenon_H20b zenon_H20a zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H266. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L391_); trivial. % 0.80/1.03 apply (zenon_L263_); trivial. % 0.80/1.03 (* end of lemma zenon_L447_ *) % 0.80/1.03 assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H194 zenon_H190 zenon_H12e zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H171 zenon_H1c7 zenon_H143 zenon_H12c zenon_H32 zenon_H243 zenon_H244 zenon_H245 zenon_H64 zenon_H20c zenon_H20b zenon_H20a zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H266. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.03 apply (zenon_L391_); trivial. % 0.80/1.03 apply (zenon_L380_); trivial. % 0.80/1.03 (* end of lemma zenon_L448_ *) % 0.80/1.03 assert (zenon_L449_ : ((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2b8 zenon_H23d zenon_H1aa zenon_H199 zenon_H12c zenon_He2 zenon_H10a zenon_H12e zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H64 zenon_He6 zenon_H142 zenon_H171 zenon_H1c7 zenon_H143 zenon_H30 zenon_H32 zenon_H190 zenon_H243 zenon_H244 zenon_H245 zenon_H7a zenon_H23a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_L213_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L447_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.03 apply (zenon_L269_); trivial. % 0.80/1.03 apply (zenon_L448_); trivial. % 0.80/1.03 (* end of lemma zenon_L449_ *) % 0.80/1.03 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H27b zenon_H23f zenon_H2b7 zenon_H142 zenon_H1d6 zenon_H2b3 zenon_H2ce zenon_H1e4 zenon_Hae zenon_Hc4 zenon_H7d zenon_H82 zenon_H198 zenon_H23a zenon_H7a zenon_H245 zenon_H244 zenon_H243 zenon_H190 zenon_H12e zenon_H32 zenon_H30 zenon_H143 zenon_H1c7 zenon_H171 zenon_H24c zenon_He6 zenon_He2 zenon_Hb9 zenon_Hf4 zenon_H2be zenon_H2bd zenon_H2bf zenon_H266 zenon_H64 zenon_H15d zenon_H10a zenon_H12c zenon_H199 zenon_H1aa zenon_H23d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_L213_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L443_); trivial. % 0.80/1.03 apply (zenon_L444_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.03 apply (zenon_L213_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_L445_); trivial. % 0.80/1.03 apply (zenon_L446_); trivial. % 0.80/1.03 apply (zenon_L449_); trivial. % 0.80/1.03 (* end of lemma zenon_L450_ *) % 0.80/1.03 assert (zenon_L451_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H89 zenon_H8a zenon_Hf zenon_H10 zenon_H11b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.03 apply (zenon_L284_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L105_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L451_ *) % 0.80/1.03 assert (zenon_L452_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H11b zenon_Hf zenon_H8a zenon_H89 zenon_H131 zenon_H280 zenon_H27f zenon_H1bc zenon_H2e. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.03 apply (zenon_L14_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.03 apply (zenon_L451_); trivial. % 0.80/1.03 exact (zenon_H2e zenon_H2f). % 0.80/1.03 (* end of lemma zenon_L452_ *) % 0.80/1.03 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H9c zenon_H32 zenon_H2e zenon_H30 zenon_H2be zenon_H2bd zenon_H2bf zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H1f8. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L285_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L452_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L453_ *) % 0.80/1.03 assert (zenon_L454_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(hskp24)) -> (ndr1_0) -> (~(c1_1 (a830))) -> (c0_1 (a830)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_Hf7 zenon_Hf zenon_H299 zenon_H29b zenon_H37 zenon_H38 zenon_H39 zenon_Hf9 zenon_H11b. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.80/1.03 apply (zenon_L284_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L315_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L454_ *) % 0.80/1.03 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H226 zenon_H1f8 zenon_H2bf zenon_H2bd zenon_H2be zenon_H280 zenon_H27f zenon_H1bc zenon_H11b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L296_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 (* end of lemma zenon_L455_ *) % 0.80/1.03 assert (zenon_L456_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H23f zenon_Hf4 zenon_H32 zenon_H30 zenon_H2be zenon_H2bd zenon_H2bf zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H1f8 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H2a9 zenon_Hf9 zenon_H15d zenon_H110 zenon_H1aa. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.03 apply (zenon_L310_); trivial. % 0.80/1.03 apply (zenon_L453_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.80/1.03 apply (zenon_L413_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.80/1.03 apply (zenon_L454_); trivial. % 0.80/1.03 exact (zenon_H11b zenon_H11c). % 0.80/1.03 apply (zenon_L418_); trivial. % 0.80/1.03 apply (zenon_L455_); trivial. % 0.80/1.03 (* end of lemma zenon_L456_ *) % 0.80/1.03 assert (zenon_L457_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2d0 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3. % 0.80/1.03 generalize (zenon_H2d0 (a828)). zenon_intro zenon_H2d4. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_He | zenon_intro zenon_H2d5 ]. % 0.80/1.03 exact (zenon_He zenon_Hf). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ]. % 0.80/1.03 exact (zenon_H2d1 zenon_H2d7). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 0.80/1.03 exact (zenon_H2d9 zenon_H2d2). % 0.80/1.03 exact (zenon_H2d8 zenon_H2d3). % 0.80/1.03 (* end of lemma zenon_L457_ *) % 0.80/1.03 assert (zenon_L458_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp19)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H1d2 zenon_H44. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2db ]. % 0.80/1.03 apply (zenon_L457_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H45 ]. % 0.80/1.03 exact (zenon_H1d2 zenon_H1d3). % 0.80/1.03 exact (zenon_H44 zenon_H45). % 0.80/1.03 (* end of lemma zenon_L458_ *) % 0.80/1.03 assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp18)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c1_1 (a866)) -> (c0_1 (a866)) -> (~(c3_1 (a866))) -> (~(hskp29)) -> False). % 0.80/1.03 do 0 intro. intros zenon_He1 zenon_Hc4 zenon_Hdf zenon_H38 zenon_H39 zenon_He2 zenon_H1da zenon_H1d9 zenon_H1d8 zenon_H54. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.80/1.03 apply (zenon_L267_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/1.03 apply (zenon_L161_); trivial. % 0.80/1.03 exact (zenon_H54 zenon_H55). % 0.80/1.03 (* end of lemma zenon_L459_ *) % 0.80/1.03 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp18)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c2_1 (a849)) -> (c1_1 (a849)) -> (c0_1 (a849)) -> (~(hskp2)) -> False). % 0.80/1.03 do 0 intro. intros zenon_He1 zenon_H7d zenon_Hdf zenon_H38 zenon_H39 zenon_He2 zenon_H73 zenon_H72 zenon_H71 zenon_H7a. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.80/1.03 apply (zenon_L267_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.80/1.03 apply (zenon_L30_); trivial. % 0.80/1.03 exact (zenon_H7a zenon_H7b). % 0.80/1.03 (* end of lemma zenon_L460_ *) % 0.80/1.03 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c3_1 (a866))) -> (c0_1 (a866)) -> (c1_1 (a866)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e zenon_H82 zenon_H7d zenon_H7a zenon_Hb9 zenon_H1a zenon_H39 zenon_H38 zenon_H1d8 zenon_H1d9 zenon_H1da zenon_Hc4. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.80/1.03 apply (zenon_L44_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/1.03 apply (zenon_L161_); trivial. % 0.80/1.03 exact (zenon_H54 zenon_H55). % 0.80/1.03 apply (zenon_L60_); trivial. % 0.80/1.03 (* end of lemma zenon_L461_ *) % 0.80/1.03 assert (zenon_L462_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c3_1 (a866))) -> (c0_1 (a866)) -> (c1_1 (a866)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (c2_1 (a868)) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H23 zenon_H82 zenon_H7d zenon_H7a zenon_Hb9 zenon_H1a zenon_H39 zenon_H38 zenon_H1d8 zenon_H1d9 zenon_H1da zenon_Hc4 zenon_Hf zenon_H148 zenon_H146 zenon_H149 zenon_H15b zenon_H17a. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.04 apply (zenon_L98_); trivial. % 0.80/1.04 apply (zenon_L461_); trivial. % 0.80/1.04 (* end of lemma zenon_L462_ *) % 0.80/1.04 assert (zenon_L463_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c1_1 (a866)) -> (c0_1 (a866)) -> (~(c3_1 (a866))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H15f zenon_H32 zenon_H48 zenon_H46 zenon_H44 zenon_H17a zenon_H15b zenon_Hc4 zenon_H1da zenon_H1d9 zenon_H1d8 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_L462_); trivial. % 0.80/1.04 apply (zenon_L23_); trivial. % 0.80/1.04 (* end of lemma zenon_L463_ *) % 0.80/1.04 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp19)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H1e1 zenon_H162 zenon_H32 zenon_H48 zenon_H46 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hdf zenon_He2 zenon_H44 zenon_H16f zenon_H7a zenon_H7d zenon_H82. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L92_); trivial. % 0.80/1.04 apply (zenon_L459_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L92_); trivial. % 0.80/1.04 apply (zenon_L460_); trivial. % 0.80/1.04 apply (zenon_L463_); trivial. % 0.80/1.04 (* end of lemma zenon_L464_ *) % 0.80/1.04 assert (zenon_L465_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H1e4 zenon_H162 zenon_H32 zenon_H48 zenon_H46 zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hdf zenon_He2 zenon_H16f zenon_H7a zenon_H7d zenon_H82 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.04 apply (zenon_L458_); trivial. % 0.80/1.04 apply (zenon_L464_); trivial. % 0.80/1.04 (* end of lemma zenon_L465_ *) % 0.80/1.04 assert (zenon_L466_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c1_1 (a864)) -> (~(c0_1 (a864))) -> (~(c2_1 (a864))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H1e1 zenon_H82 zenon_H7d zenon_H7a zenon_H64 zenon_H62 zenon_H5b zenon_H5a zenon_H59 zenon_H4d zenon_H4b zenon_H4c zenon_Hc4. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.80/1.04 apply (zenon_L29_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.80/1.04 apply (zenon_L161_); trivial. % 0.80/1.04 exact (zenon_H54 zenon_H55). % 0.80/1.04 apply (zenon_L32_); trivial. % 0.80/1.04 (* end of lemma zenon_L466_ *) % 0.80/1.04 assert (zenon_L467_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H81 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H64 zenon_H62 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.04 apply (zenon_L458_); trivial. % 0.80/1.04 apply (zenon_L466_); trivial. % 0.80/1.04 (* end of lemma zenon_L467_ *) % 0.80/1.04 assert (zenon_L468_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H85 zenon_H64 zenon_H62 zenon_H5b zenon_H5a zenon_H59 zenon_H2da zenon_H44 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H82 zenon_H7d zenon_H7a zenon_H16f zenon_He2 zenon_Hdf zenon_H39 zenon_H38 zenon_Hc4 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H48 zenon_H32 zenon_H162 zenon_H1e4. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.80/1.04 apply (zenon_L465_); trivial. % 0.80/1.04 apply (zenon_L467_); trivial. % 0.80/1.04 (* end of lemma zenon_L468_ *) % 0.80/1.04 assert (zenon_L469_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H32 zenon_H48 zenon_H46 zenon_H44 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hea zenon_He9 zenon_He8 zenon_Hf zenon_H1c zenon_H1f zenon_H23. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.04 apply (zenon_L59_); trivial. % 0.80/1.04 apply (zenon_L12_); trivial. % 0.80/1.04 apply (zenon_L23_); trivial. % 0.80/1.04 (* end of lemma zenon_L469_ *) % 0.80/1.04 assert (zenon_L470_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H85 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H64 zenon_H62 zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H23 zenon_H1f zenon_H1c zenon_Hf zenon_He8 zenon_He9 zenon_Hea zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H44 zenon_H48 zenon_H32. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.80/1.04 apply (zenon_L469_); trivial. % 0.80/1.04 apply (zenon_L467_); trivial. % 0.80/1.04 (* end of lemma zenon_L470_ *) % 0.80/1.04 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H9d zenon_H40 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H1c zenon_H1f zenon_H23 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_H62 zenon_H64 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4 zenon_H85. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L470_); trivial. % 0.80/1.04 apply (zenon_L38_); trivial. % 0.80/1.04 (* end of lemma zenon_L471_ *) % 0.80/1.04 assert (zenon_L472_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hc4 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.04 apply (zenon_L458_); trivial. % 0.80/1.04 apply (zenon_L162_); trivial. % 0.80/1.04 (* end of lemma zenon_L472_ *) % 0.80/1.04 assert (zenon_L473_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf4 zenon_He6 zenon_He2 zenon_Hdf zenon_Hd1 zenon_Hd3 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_Hc4 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L472_); trivial. % 0.80/1.04 apply (zenon_L57_); trivial. % 0.80/1.04 (* end of lemma zenon_L473_ *) % 0.80/1.04 assert (zenon_L474_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H12e zenon_H9d zenon_H40 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H1c zenon_H1f zenon_H23 zenon_H62 zenon_H64 zenon_H85 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hc4 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hd3 zenon_Hd1 zenon_He2 zenon_He6 zenon_Hf4. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_L473_); trivial. % 0.80/1.04 apply (zenon_L471_); trivial. % 0.80/1.04 (* end of lemma zenon_L474_ *) % 0.80/1.04 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Had zenon_H12e zenon_H32 zenon_H30 zenon_H2e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hb9 zenon_H171 zenon_H23 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hd3 zenon_Hd1 zenon_He2 zenon_He6 zenon_Hf4. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_L473_); trivial. % 0.80/1.04 apply (zenon_L112_); trivial. % 0.80/1.04 (* end of lemma zenon_L475_ *) % 0.80/1.04 assert (zenon_L476_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H190 zenon_H12e zenon_H32 zenon_H30 zenon_H2e zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hb9 zenon_H171 zenon_H23 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hd3 zenon_Hd1 zenon_He2 zenon_He6 zenon_Hf4 zenon_Hf zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_L91_); trivial. % 0.80/1.04 apply (zenon_L475_); trivial. % 0.80/1.04 (* end of lemma zenon_L476_ *) % 0.80/1.04 assert (zenon_L477_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c1_1 (a846))) -> (c3_1 (a846)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2dc zenon_Hf zenon_Hc6 zenon_H2dd zenon_Hc8. % 0.80/1.04 generalize (zenon_H2dc (a846)). zenon_intro zenon_H2de. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2de); [ zenon_intro zenon_He | zenon_intro zenon_H2df ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2e0 ]. % 0.80/1.04 exact (zenon_Hc6 zenon_Hcc). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e1 | zenon_intro zenon_Hcd ]. % 0.80/1.04 exact (zenon_H2dd zenon_H2e1). % 0.80/1.04 exact (zenon_Hcd zenon_Hc8). % 0.80/1.04 (* end of lemma zenon_L477_ *) % 0.80/1.04 assert (zenon_L478_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (c3_1 (a846)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H122 zenon_Hf zenon_Hc6 zenon_H2dc zenon_Hc8. % 0.80/1.04 generalize (zenon_H122 (a846)). zenon_intro zenon_H2e2. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_He | zenon_intro zenon_H2e3 ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_Hcc | zenon_intro zenon_H2e4 ]. % 0.80/1.04 exact (zenon_Hc6 zenon_Hcc). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2dd | zenon_intro zenon_Hcd ]. % 0.80/1.04 apply (zenon_L477_); trivial. % 0.80/1.04 exact (zenon_Hcd zenon_Hc8). % 0.80/1.04 (* end of lemma zenon_L478_ *) % 0.80/1.04 assert (zenon_L479_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a846)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c0_1 (a846))) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (c0_1 (a875)) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H13e zenon_Hc8 zenon_H2dc zenon_Hc6 zenon_H134 zenon_H133 zenon_H132 zenon_Hf zenon_H13b. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.80/1.04 apply (zenon_L478_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.80/1.04 apply (zenon_L80_); trivial. % 0.80/1.04 exact (zenon_H13b zenon_H13c). % 0.80/1.04 (* end of lemma zenon_L479_ *) % 0.80/1.04 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp23)) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H13d zenon_H2e5 zenon_H13b zenon_Hc6 zenon_Hc8 zenon_H13e zenon_H2d3 zenon_H2d2 zenon_H2d1. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.80/1.04 apply (zenon_L479_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.80/1.04 apply (zenon_L457_); trivial. % 0.80/1.04 apply (zenon_L80_); trivial. % 0.80/1.04 (* end of lemma zenon_L480_ *) % 0.80/1.04 assert (zenon_L481_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc6 zenon_Hc8 zenon_H13b zenon_H13e zenon_Hf zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.04 apply (zenon_L149_); trivial. % 0.80/1.04 apply (zenon_L480_); trivial. % 0.80/1.04 (* end of lemma zenon_L481_ *) % 0.80/1.04 assert (zenon_L482_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a841))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2e7 zenon_Hf zenon_H19f zenon_H87 zenon_H1a1 zenon_H1a0. % 0.80/1.04 generalize (zenon_H2e7 (a841)). zenon_intro zenon_H2e8. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2e8); [ zenon_intro zenon_He | zenon_intro zenon_H2e9 ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2ea ]. % 0.80/1.04 exact (zenon_H19f zenon_H1a5). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H26c | zenon_intro zenon_H1a7 ]. % 0.80/1.04 apply (zenon_L253_); trivial. % 0.80/1.04 exact (zenon_H1a7 zenon_H1a0). % 0.80/1.04 (* end of lemma zenon_L482_ *) % 0.80/1.04 assert (zenon_L483_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a841))) -> (ndr1_0) -> (c1_1 (a857)) -> (c2_1 (a857)) -> (c3_1 (a857)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2eb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1a0 zenon_H1a1 zenon_H87 zenon_H19f zenon_Hf zenon_Hd6 zenon_Hd7 zenon_Hd8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2ec ]. % 0.80/1.04 apply (zenon_L457_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e7 | zenon_intro zenon_Hd5 ]. % 0.80/1.04 apply (zenon_L482_); trivial. % 0.80/1.04 apply (zenon_L54_); trivial. % 0.80/1.04 (* end of lemma zenon_L483_ *) % 0.80/1.04 assert (zenon_L484_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(c2_1 (a846))) -> (~(hskp16)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a846)) -> (~(c0_1 (a846))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H190 zenon_H162 zenon_He6 zenon_H15d zenon_H15b zenon_H2eb zenon_H155 zenon_Hc7 zenon_Hd1 zenon_Hd3 zenon_H142 zenon_H13e zenon_Hc8 zenon_Hc6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H143 zenon_H1a8 zenon_H5 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H110. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_L126_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.04 apply (zenon_L481_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L53_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.80/1.04 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.80/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.80/1.04 apply (zenon_L85_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.80/1.04 apply (zenon_L483_); trivial. % 0.80/1.04 exact (zenon_H15b zenon_H15c). % 0.80/1.04 (* end of lemma zenon_L484_ *) % 0.80/1.04 assert (zenon_L485_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H19c zenon_H219 zenon_H11e zenon_H11b zenon_H110 zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H13e zenon_H142 zenon_Hd3 zenon_H155 zenon_H2eb zenon_H15b zenon_H15d zenon_He6 zenon_H162 zenon_H190. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.04 apply (zenon_L484_); trivial. % 0.80/1.04 apply (zenon_L74_); trivial. % 0.80/1.04 (* end of lemma zenon_L485_ *) % 0.80/1.04 assert (zenon_L486_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp4)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((hskp28)\/(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H1aa zenon_H198 zenon_H219 zenon_H11e zenon_H11b zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H13e zenon_H142 zenon_Hd3 zenon_H155 zenon_H2eb zenon_H15b zenon_H15d zenon_He6 zenon_H162 zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H5 zenon_H1a8 zenon_Hae zenon_H190 zenon_H23 zenon_H1f zenon_H1c zenon_Hb zenon_Hd zenon_H30 zenon_H32. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.04 apply (zenon_L17_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.04 apply (zenon_L127_); trivial. % 0.80/1.04 apply (zenon_L485_); trivial. % 0.80/1.04 (* end of lemma zenon_L486_ *) % 0.80/1.04 assert (zenon_L487_ : (~(hskp12)) -> (hskp12) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2ed zenon_H2ee. % 0.80/1.04 exact (zenon_H2ed zenon_H2ee). % 0.80/1.04 (* end of lemma zenon_L487_ *) % 0.80/1.04 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp14)) -> (~(hskp12)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H81 zenon_H2ef zenon_H3 zenon_H2ed. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H4a | zenon_intro zenon_H2f0 ]. % 0.80/1.04 apply (zenon_L24_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H4 | zenon_intro zenon_H2ee ]. % 0.80/1.04 exact (zenon_H3 zenon_H4). % 0.80/1.04 exact (zenon_H2ed zenon_H2ee). % 0.80/1.04 (* end of lemma zenon_L488_ *) % 0.80/1.04 assert (zenon_L489_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> (~(hskp19)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H85 zenon_H2ef zenon_H2ed zenon_H3 zenon_H32 zenon_H48 zenon_H16f zenon_H44 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H171 zenon_He6 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H2e zenon_H30 zenon_H162. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.80/1.04 apply (zenon_L117_); trivial. % 0.80/1.04 apply (zenon_L488_); trivial. % 0.80/1.04 (* end of lemma zenon_L489_ *) % 0.80/1.04 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Had zenon_Hf4 zenon_Hab zenon_H1c zenon_H18d zenon_H162 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H48 zenon_H32 zenon_H3 zenon_H2ed zenon_H2ef zenon_H85. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L489_); trivial. % 0.80/1.04 apply (zenon_L108_); trivial. % 0.80/1.04 (* end of lemma zenon_L490_ *) % 0.80/1.04 assert (zenon_L491_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> (ndr1_0) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H190 zenon_Hf4 zenon_Hab zenon_H1c zenon_H18d zenon_H162 zenon_H30 zenon_H2e zenon_H17a zenon_H15b zenon_Hb9 zenon_H23 zenon_He6 zenon_H171 zenon_H16f zenon_H48 zenon_H32 zenon_H3 zenon_H2ed zenon_H2ef zenon_H85 zenon_Hf zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_L91_); trivial. % 0.80/1.04 apply (zenon_L490_); trivial. % 0.80/1.04 (* end of lemma zenon_L491_ *) % 0.80/1.04 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_H9d zenon_H15b zenon_H15d zenon_H56 zenon_H40 zenon_H123 zenon_H124 zenon_H125 zenon_Hb9 zenon_H11b zenon_H1bc zenon_H3 zenon_H1be zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L472_); trivial. % 0.80/1.04 apply (zenon_L146_); trivial. % 0.80/1.04 (* end of lemma zenon_L492_ *) % 0.80/1.04 assert (zenon_L493_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H199 zenon_H12e zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_H9d zenon_H15b zenon_H15d zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H1be zenon_H3 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H40 zenon_H56 zenon_H12c zenon_H32 zenon_Hf4 zenon_Hf zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.80/1.04 apply (zenon_L128_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L472_); trivial. % 0.80/1.04 apply (zenon_L145_); trivial. % 0.80/1.04 apply (zenon_L492_); trivial. % 0.80/1.04 (* end of lemma zenon_L493_ *) % 0.80/1.04 assert (zenon_L494_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H87 zenon_Hf zenon_Hd5 zenon_H124 zenon_H125. % 0.80/1.04 generalize (zenon_H87 (a853)). zenon_intro zenon_H2f1. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2f1); [ zenon_intro zenon_He | zenon_intro zenon_H2f2 ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H128 ]. % 0.80/1.04 generalize (zenon_Hd5 (a853)). zenon_intro zenon_H2f3. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_He | zenon_intro zenon_H2f4 ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H12b | zenon_intro zenon_H1b6 ]. % 0.80/1.04 exact (zenon_H12b zenon_H124). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H12a ]. % 0.80/1.04 exact (zenon_H1b7 zenon_H1bb). % 0.80/1.04 exact (zenon_H12a zenon_H125). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.80/1.04 exact (zenon_H12b zenon_H124). % 0.80/1.04 exact (zenon_H12a zenon_H125). % 0.80/1.04 (* end of lemma zenon_L494_ *) % 0.80/1.04 assert (zenon_L495_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (c1_1 (a853)) -> (c3_1 (a853)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2eb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1a0 zenon_H1a1 zenon_H19f zenon_H87 zenon_Hf zenon_H124 zenon_H125. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2ec ]. % 0.80/1.04 apply (zenon_L457_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e7 | zenon_intro zenon_Hd5 ]. % 0.80/1.04 apply (zenon_L482_); trivial. % 0.80/1.04 apply (zenon_L494_); trivial. % 0.80/1.04 (* end of lemma zenon_L495_ *) % 0.80/1.04 assert (zenon_L496_ : ((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp2)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H11d zenon_H224 zenon_H125 zenon_H124 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H7a. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.80/1.04 apply (zenon_L72_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.80/1.04 apply (zenon_L495_); trivial. % 0.80/1.04 exact (zenon_H7a zenon_H7b). % 0.80/1.04 (* end of lemma zenon_L496_ *) % 0.80/1.04 assert (zenon_L497_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a845))) -> (~(c1_1 (a845))) -> (c3_1 (a845)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2dc zenon_Hf zenon_H2f5 zenon_H2f6 zenon_H2f7. % 0.80/1.04 generalize (zenon_H2dc (a845)). zenon_intro zenon_H2f8. % 0.80/1.04 apply (zenon_imply_s _ _ zenon_H2f8); [ zenon_intro zenon_He | zenon_intro zenon_H2f9 ]. % 0.80/1.04 exact (zenon_He zenon_Hf). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fa ]. % 0.80/1.04 exact (zenon_H2f5 zenon_H2fb). % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fc ]. % 0.80/1.04 exact (zenon_H2f6 zenon_H2fd). % 0.80/1.04 exact (zenon_H2fc zenon_H2f7). % 0.80/1.04 (* end of lemma zenon_L497_ *) % 0.80/1.04 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H13d zenon_H2e5 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H2d3 zenon_H2d2 zenon_H2d1. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.80/1.04 apply (zenon_L497_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.80/1.04 apply (zenon_L457_); trivial. % 0.80/1.04 apply (zenon_L80_); trivial. % 0.80/1.04 (* end of lemma zenon_L498_ *) % 0.80/1.04 assert (zenon_L499_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Had zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.04 apply (zenon_L149_); trivial. % 0.80/1.04 apply (zenon_L498_); trivial. % 0.80/1.04 (* end of lemma zenon_L499_ *) % 0.80/1.04 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(c0_1 (a843))) -> (~(c3_1 (a843))) -> (c1_1 (a843)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H2fe zenon_H190 zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_H166 zenon_H165 zenon_H164 zenon_H5 zenon_H163. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_L91_); trivial. % 0.80/1.04 apply (zenon_L499_); trivial. % 0.80/1.04 (* end of lemma zenon_L500_ *) % 0.80/1.04 assert (zenon_L501_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a843)) -> (~(c3_1 (a843))) -> (~(c0_1 (a843))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H197 zenon_H198 zenon_H219 zenon_H11e zenon_H11b zenon_H110 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H1a8 zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H13e zenon_H142 zenon_Hd3 zenon_H155 zenon_H2eb zenon_H15b zenon_H15d zenon_He6 zenon_H162 zenon_H163 zenon_H5 zenon_H164 zenon_H165 zenon_H166 zenon_Hae zenon_H190. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.04 apply (zenon_L120_); trivial. % 0.80/1.04 apply (zenon_L485_); trivial. % 0.80/1.04 (* end of lemma zenon_L501_ *) % 0.80/1.04 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c3_1 (a846)) -> (~(c2_1 (a846))) -> (~(c0_1 (a846))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H18f zenon_H219 zenon_H11e zenon_H5 zenon_H11b zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hf4 zenon_He6 zenon_He2 zenon_Hd3 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4 zenon_H23 zenon_H171 zenon_Hb9 zenon_Hf1 zenon_H2e zenon_H30 zenon_H32 zenon_H12e zenon_H190. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_L166_); trivial. % 0.80/1.04 apply (zenon_L475_); trivial. % 0.80/1.04 apply (zenon_L74_); trivial. % 0.80/1.04 (* end of lemma zenon_L502_ *) % 0.80/1.04 assert (zenon_L503_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c1_1 (a838)) -> (~(c3_1 (a838))) -> (~(c2_1 (a838))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(hskp9)) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H19c zenon_H193 zenon_H219 zenon_H11e zenon_H11b zenon_H64 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_Hf4 zenon_He6 zenon_He2 zenon_Hd3 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4 zenon_H23 zenon_H171 zenon_Hb9 zenon_Hf1 zenon_H2e zenon_H30 zenon_H32 zenon_H12e zenon_H190 zenon_H1 zenon_H5 zenon_H7. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.04 apply (zenon_L4_); trivial. % 0.80/1.04 apply (zenon_L502_); trivial. % 0.80/1.04 (* end of lemma zenon_L503_ *) % 0.80/1.04 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H9c zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_H1c7 zenon_H20c zenon_H20b zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_Hdf zenon_He2 zenon_He6 zenon_Hb9 zenon_Hab zenon_H1c zenon_H18d. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_L107_); trivial. % 0.80/1.04 apply (zenon_L195_); trivial. % 0.80/1.04 (* end of lemma zenon_L504_ *) % 0.80/1.04 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H30 zenon_H2e zenon_Hb9 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H1c zenon_H1f zenon_H23 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_H62 zenon_H64 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4 zenon_H85. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L470_); trivial. % 0.80/1.04 apply (zenon_L240_); trivial. % 0.80/1.04 (* end of lemma zenon_L505_ *) % 0.80/1.04 assert (zenon_L506_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c1_1 (a844))) -> (~(hskp30)) -> (~(c0_1 (a835))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp17)) -> (~(hskp4)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H163 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H1c7 zenon_H39 zenon_H38 zenon_H65 zenon_H37 zenon_Hcf zenon_H229 zenon_H22b zenon_H22a zenon_H266 zenon_H62 zenon_H5. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.04 apply (zenon_L205_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.04 apply (zenon_L264_); trivial. % 0.80/1.04 apply (zenon_L183_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H63 | zenon_intro zenon_H6 ]. % 0.80/1.04 exact (zenon_H62 zenon_H63). % 0.80/1.04 exact (zenon_H5 zenon_H6). % 0.80/1.04 (* end of lemma zenon_L506_ *) % 0.80/1.04 assert (zenon_L507_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> (~(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(c0_1 (a835))) -> (~(hskp30)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H155 zenon_H62 zenon_H266 zenon_H22a zenon_H22b zenon_H229 zenon_Hcf zenon_H37 zenon_H38 zenon_H39 zenon_H1c7 zenon_H163 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H5. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H65 | zenon_intro zenon_H156 ]. % 0.80/1.04 apply (zenon_L506_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H145 | zenon_intro zenon_H6 ]. % 0.80/1.04 apply (zenon_L183_); trivial. % 0.80/1.04 exact (zenon_H5 zenon_H6). % 0.80/1.04 (* end of lemma zenon_L507_ *) % 0.80/1.04 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (~(c0_1 (a835))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp17)) -> (~(hskp4)) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf3 zenon_H163 zenon_H20c zenon_H20b zenon_H20a zenon_H229 zenon_H22b zenon_H22a zenon_H266 zenon_H62 zenon_H5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.80/1.04 apply (zenon_L205_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.80/1.04 apply (zenon_L58_); trivial. % 0.80/1.04 apply (zenon_L183_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H63 | zenon_intro zenon_H6 ]. % 0.80/1.04 exact (zenon_H62 zenon_H63). % 0.80/1.04 exact (zenon_H5 zenon_H6). % 0.80/1.04 (* end of lemma zenon_L508_ *) % 0.80/1.04 assert (zenon_L509_ : ((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H240 zenon_H1aa zenon_H198 zenon_H12e zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H155 zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H1c7 zenon_H163 zenon_He2 zenon_Hc4 zenon_He6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hf4 zenon_Hae zenon_H190 zenon_H5 zenon_H203. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.04 apply (zenon_L204_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.80/1.04 apply (zenon_L458_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L507_); trivial. % 0.80/1.04 apply (zenon_L459_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L507_); trivial. % 0.80/1.04 apply (zenon_L460_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.80/1.04 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.80/1.04 apply (zenon_L507_); trivial. % 0.80/1.04 apply (zenon_L56_); trivial. % 0.80/1.04 apply (zenon_L508_); trivial. % 0.80/1.04 apply (zenon_L41_); trivial. % 0.80/1.04 apply (zenon_L201_); trivial. % 0.80/1.04 (* end of lemma zenon_L509_ *) % 0.80/1.04 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((hskp28)\/(hskp10)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a843))/\((~(c0_1 (a843)))/\(~(c3_1 (a843))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H27b zenon_H23c zenon_H266 zenon_Hae zenon_H203 zenon_H23d zenon_H110 zenon_H224 zenon_H1a8 zenon_H1aa zenon_H219 zenon_H217 zenon_H215 zenon_H193 zenon_H190 zenon_H171 zenon_Hf4 zenon_H1c7 zenon_Hf1 zenon_He2 zenon_Hb9 zenon_H18d zenon_H32 zenon_He6 zenon_H12c zenon_H30 zenon_H16f zenon_Hd zenon_H1c zenon_H1f zenon_H23 zenon_H17a zenon_H162 zenon_H85 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H64 zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H48 zenon_H12e zenon_H5 zenon_H7 zenon_H155 zenon_H198 zenon_H163 zenon_H23e zenon_H23f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.80/1.04 apply (zenon_L4_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_L13_); trivial. % 0.80/1.04 apply (zenon_L97_); trivial. % 0.80/1.04 apply (zenon_L136_); trivial. % 0.80/1.04 apply (zenon_L504_); trivial. % 0.80/1.04 apply (zenon_L505_); trivial. % 0.80/1.04 apply (zenon_L196_); trivial. % 0.80/1.04 apply (zenon_L201_); trivial. % 0.80/1.04 apply (zenon_L187_); trivial. % 0.80/1.04 apply (zenon_L198_); trivial. % 0.80/1.04 apply (zenon_L200_); trivial. % 0.80/1.04 apply (zenon_L202_); trivial. % 0.80/1.04 apply (zenon_L509_); trivial. % 0.80/1.04 (* end of lemma zenon_L510_ *) % 0.80/1.04 assert (zenon_L511_ : ((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> (~(hskp2)) -> (~(hskp12)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H25f zenon_H301 zenon_H7a zenon_H2ed. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hf. zenon_intro zenon_H260. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H256. zenon_intro zenon_H261. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H257. zenon_intro zenon_H255. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H302 ]. % 0.80/1.04 apply (zenon_L219_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7b | zenon_intro zenon_H2ee ]. % 0.80/1.04 exact (zenon_H7a zenon_H7b). % 0.80/1.04 exact (zenon_H2ed zenon_H2ee). % 0.80/1.04 (* end of lemma zenon_L511_ *) % 0.80/1.04 assert (zenon_L512_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp2)) -> (~(hskp12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H32 zenon_H48 zenon_H46 zenon_H143 zenon_H18d zenon_H1c zenon_Hab zenon_H251 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c zenon_H7a zenon_H2ed zenon_H301 zenon_H25e. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H252 | zenon_intro zenon_H25f ]. % 0.80/1.04 apply (zenon_L218_); trivial. % 0.80/1.04 apply (zenon_L511_); trivial. % 0.80/1.04 apply (zenon_L23_); trivial. % 0.80/1.04 (* end of lemma zenon_L512_ *) % 0.80/1.04 assert (zenon_L513_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> (~(hskp12)) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H85 zenon_H2ef zenon_H3 zenon_H25e zenon_H301 zenon_H2ed zenon_H7a zenon_H24c zenon_H44 zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H251 zenon_Hab zenon_H1c zenon_H18d zenon_H143 zenon_H48 zenon_H32. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.80/1.04 apply (zenon_L512_); trivial. % 0.80/1.04 apply (zenon_L488_); trivial. % 0.80/1.04 (* end of lemma zenon_L513_ *) % 0.80/1.04 assert (zenon_L514_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp27)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp2)) -> (~(hskp12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a919))/\((c3_1 (a919))/\(~(c0_1 (a919))))))) -> (~(hskp14)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf4 zenon_H30 zenon_H2e zenon_Hb9 zenon_H32 zenon_H48 zenon_H143 zenon_H18d zenon_H1c zenon_Hab zenon_H251 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H7a zenon_H2ed zenon_H301 zenon_H25e zenon_H3 zenon_H2ef zenon_H85. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.80/1.04 apply (zenon_L513_); trivial. % 0.80/1.04 apply (zenon_L108_); trivial. % 0.80/1.04 (* end of lemma zenon_L514_ *) % 0.80/1.04 assert (zenon_L515_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H18d zenon_H132 zenon_H134 zenon_H133 zenon_Hd5 zenon_Hf zenon_Hab zenon_H1c. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H188 | zenon_intro zenon_H18e ]. % 0.80/1.04 apply (zenon_L150_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hac | zenon_intro zenon_H1d ]. % 0.80/1.04 exact (zenon_Hab zenon_Hac). % 0.80/1.04 exact (zenon_H1c zenon_H1d). % 0.80/1.04 (* end of lemma zenon_L515_ *) % 0.80/1.04 assert (zenon_L516_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> (~(hskp25)) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (ndr1_0) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H143 zenon_H171 zenon_H1a zenon_Hab zenon_H1c zenon_H18d zenon_Hf zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.04 apply (zenon_L149_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H172 ]. % 0.80/1.04 apply (zenon_L39_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1b ]. % 0.80/1.04 apply (zenon_L515_); trivial. % 0.80/1.04 exact (zenon_H1a zenon_H1b). % 0.80/1.04 (* end of lemma zenon_L516_ *) % 0.80/1.04 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(hskp28)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> False). % 0.80/1.04 do 0 intro. intros zenon_H13d zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H9 zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H2e. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.80/1.04 apply (zenon_L14_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf2 ]. % 0.80/1.04 apply (zenon_L261_); trivial. % 0.80/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha ]. % 0.80/1.04 apply (zenon_L27_); trivial. % 0.80/1.04 exact (zenon_H9 zenon_Ha). % 0.80/1.04 exact (zenon_H2e zenon_H2f). % 0.80/1.04 (* end of lemma zenon_L517_ *) % 0.80/1.04 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Had zenon_H32 zenon_H23 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_H2e zenon_H30 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H18d zenon_H1c zenon_Hab zenon_H171 zenon_H143. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.80/1.04 apply (zenon_L516_); trivial. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.80/1.04 apply (zenon_L149_); trivial. % 0.80/1.04 apply (zenon_L517_); trivial. % 0.80/1.04 apply (zenon_L16_); trivial. % 0.80/1.04 (* end of lemma zenon_L518_ *) % 0.80/1.04 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a846)) -> (~(c0_1 (a846))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Hf3 zenon_H162 zenon_H1f8 zenon_H11b zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H13e zenon_Hc8 zenon_Hc6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H143. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.80/1.04 apply (zenon_L481_); trivial. % 0.80/1.04 apply (zenon_L248_); trivial. % 0.80/1.04 (* end of lemma zenon_L519_ *) % 0.80/1.04 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_Had zenon_H12e zenon_H162 zenon_H1f8 zenon_H11b zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H13e zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H82 zenon_He6 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H1c7 zenon_H171 zenon_H143 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H5a zenon_H5b zenon_H59 zenon_Hc4 zenon_H32. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.80/1.04 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.80/1.04 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.80/1.04 apply (zenon_L154_); trivial. % 0.80/1.04 apply (zenon_L519_); trivial. % 0.80/1.04 (* end of lemma zenon_L520_ *) % 0.80/1.04 assert (zenon_L521_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp14))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> False). % 0.80/1.04 do 0 intro. intros zenon_H19c zenon_H193 zenon_H190 zenon_H1f8 zenon_H2e5 zenon_He6 zenon_H142 zenon_H1c7 zenon_H171 zenon_H143 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H17a zenon_H266 zenon_H162 zenon_H85 zenon_H64 zenon_H1f zenon_H1c zenon_H48 zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf4 zenon_H32 zenon_H12c zenon_H56 zenon_H40 zenon_Hb9 zenon_H11b zenon_H1bc zenon_H1be zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc4 zenon_H7a zenon_H7d zenon_H82 zenon_H1e4 zenon_H15d zenon_H15b zenon_H9d zenon_Hf1 zenon_H2e zenon_H30 zenon_H23 zenon_H12e zenon_H199. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.80/1.04 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.05 apply (zenon_L493_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_L128_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_L230_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.89/1.05 apply (zenon_L142_); trivial. % 0.89/1.05 apply (zenon_L48_); trivial. % 0.89/1.05 apply (zenon_L76_); trivial. % 0.89/1.05 apply (zenon_L505_); trivial. % 0.89/1.05 apply (zenon_L520_); trivial. % 0.89/1.05 (* end of lemma zenon_L521_ *) % 0.89/1.05 assert (zenon_L522_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp19)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H44 zenon_H24c. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.05 apply (zenon_L214_); trivial. % 0.89/1.05 apply (zenon_L498_); trivial. % 0.89/1.05 (* end of lemma zenon_L522_ *) % 0.89/1.05 assert (zenon_L523_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (ndr1_0) -> (~(c0_1 (a845))) -> (~(c1_1 (a845))) -> (c3_1 (a845)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_Hf4 zenon_H32 zenon_H30 zenon_H2e zenon_Hb9 zenon_Hab zenon_H1c zenon_H18d zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_Hf zenon_H2f5 zenon_H2f6 zenon_H2f7 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H143. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_L522_); trivial. % 0.89/1.05 apply (zenon_L108_); trivial. % 0.89/1.05 (* end of lemma zenon_L523_ *) % 0.89/1.05 assert (zenon_L524_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (~(hskp17)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H1a0 zenon_H1a1 zenon_H19f zenon_Hf zenon_H2e7 zenon_H62. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H36 | zenon_intro zenon_H97 ]. % 0.89/1.05 apply (zenon_L18_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H87 | zenon_intro zenon_H63 ]. % 0.89/1.05 apply (zenon_L482_); trivial. % 0.89/1.05 exact (zenon_H62 zenon_H63). % 0.89/1.05 (* end of lemma zenon_L524_ *) % 0.89/1.05 assert (zenon_L525_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(hskp17)) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> False). % 0.89/1.05 do 0 intro. intros zenon_He1 zenon_H2eb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H62 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H37 zenon_H38 zenon_H39 zenon_H96. % 0.89/1.05 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.89/1.05 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.89/1.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2ec ]. % 0.89/1.05 apply (zenon_L457_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e7 | zenon_intro zenon_Hd5 ]. % 0.89/1.05 apply (zenon_L524_); trivial. % 0.89/1.05 apply (zenon_L54_); trivial. % 0.89/1.05 (* end of lemma zenon_L525_ *) % 0.89/1.05 assert (zenon_L526_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp17)) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c1_1 (a844))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H9d zenon_H62 zenon_H88 zenon_H89 zenon_H8a zenon_H37 zenon_H96 zenon_H39 zenon_H65 zenon_H38 zenon_Hf zenon_H40. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha0 ]. % 0.89/1.05 apply (zenon_L36_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H98 | zenon_intro zenon_H41 ]. % 0.89/1.05 apply (zenon_L43_); trivial. % 0.89/1.05 exact (zenon_H40 zenon_H41). % 0.89/1.05 (* end of lemma zenon_L526_ *) % 0.89/1.05 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp3)) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c1_1 (a844))) -> (~(hskp17)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (~(hskp15)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H9c zenon_H10a zenon_H40 zenon_H38 zenon_H39 zenon_H96 zenon_H37 zenon_H62 zenon_H9d zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H108. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.89/1.05 apply (zenon_L526_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.89/1.05 apply (zenon_L123_); trivial. % 0.89/1.05 exact (zenon_H108 zenon_H109). % 0.89/1.05 (* end of lemma zenon_L527_ *) % 0.89/1.05 assert (zenon_L528_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a853))) -> (~(hskp17)) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (ndr1_0) -> (c1_1 (a853)) -> (c3_1 (a853)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H2eb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H303 zenon_H123 zenon_H62 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_Hf zenon_H124 zenon_H125. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2ec ]. % 0.89/1.05 apply (zenon_L457_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e7 | zenon_intro zenon_Hd5 ]. % 0.89/1.05 apply (zenon_L524_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H122 | zenon_intro zenon_H304 ]. % 0.89/1.05 apply (zenon_L75_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H87 ]. % 0.89/1.05 apply (zenon_L524_); trivial. % 0.89/1.05 apply (zenon_L494_); trivial. % 0.89/1.05 (* end of lemma zenon_L528_ *) % 0.89/1.05 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H194 zenon_H190 zenon_Hae zenon_Hab zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H96 zenon_H1a0 zenon_H1a1 zenon_H19f zenon_H39 zenon_H38 zenon_H37 zenon_H303 zenon_H2eb. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_L528_); trivial. % 0.89/1.05 apply (zenon_L41_); trivial. % 0.89/1.05 (* end of lemma zenon_L529_ *) % 0.89/1.05 assert (zenon_L530_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> (~(hskp13)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H199 zenon_H303 zenon_Hf4 zenon_H10a zenon_H40 zenon_H9d zenon_H1e4 zenon_H162 zenon_H32 zenon_H48 zenon_H17a zenon_H15b zenon_Hc4 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_H16f zenon_H96 zenon_H1a0 zenon_H1a1 zenon_H19f zenon_H39 zenon_H38 zenon_H37 zenon_H2eb zenon_He6 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H3 zenon_H2ed zenon_H2ef zenon_H85 zenon_Hab zenon_Hae zenon_H190. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.05 apply (zenon_L458_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.05 apply (zenon_L92_); trivial. % 0.89/1.05 apply (zenon_L525_); trivial. % 0.89/1.05 apply (zenon_L463_); trivial. % 0.89/1.05 apply (zenon_L488_); trivial. % 0.89/1.05 apply (zenon_L527_); trivial. % 0.89/1.05 apply (zenon_L41_); trivial. % 0.89/1.05 apply (zenon_L529_); trivial. % 0.89/1.05 (* end of lemma zenon_L530_ *) % 0.89/1.05 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H1e1 zenon_H32 zenon_H48 zenon_H46 zenon_H44 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hea zenon_He9 zenon_He8 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.05 apply (zenon_L59_); trivial. % 0.89/1.05 apply (zenon_L461_); trivial. % 0.89/1.05 apply (zenon_L23_); trivial. % 0.89/1.05 (* end of lemma zenon_L531_ *) % 0.89/1.05 assert (zenon_L532_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> (c2_1 (a861)) -> (c0_1 (a861)) -> (~(c1_1 (a861))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H1e4 zenon_H32 zenon_H48 zenon_H46 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hea zenon_He9 zenon_He8 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.05 apply (zenon_L458_); trivial. % 0.89/1.05 apply (zenon_L531_); trivial. % 0.89/1.05 (* end of lemma zenon_L532_ *) % 0.89/1.05 assert (zenon_L533_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H85 zenon_H64 zenon_H62 zenon_H2da zenon_H44 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H23 zenon_H82 zenon_H7d zenon_H7a zenon_Hb9 zenon_H39 zenon_H38 zenon_Hc4 zenon_He8 zenon_He9 zenon_Hea zenon_H59 zenon_H5a zenon_H5b zenon_Hf1 zenon_H48 zenon_H32 zenon_H1e4. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.05 apply (zenon_L532_); trivial. % 0.89/1.05 apply (zenon_L467_); trivial. % 0.89/1.05 (* end of lemma zenon_L533_ *) % 0.89/1.05 assert (zenon_L534_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(hskp25)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(c3_1 (a866))) -> (c0_1 (a866)) -> (c1_1 (a866)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H82 zenon_He6 zenon_H24c zenon_H44 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1c7 zenon_H1a zenon_H171 zenon_H143 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H1d8 zenon_H1d9 zenon_H1da zenon_H2bc. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.89/1.05 apply (zenon_L400_); trivial. % 0.89/1.05 apply (zenon_L360_); trivial. % 0.89/1.05 (* end of lemma zenon_L534_ *) % 0.89/1.05 assert (zenon_L535_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c0_1 (a859)) -> (~(c3_1 (a859))) -> (~(c1_1 (a859))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H1e4 zenon_H32 zenon_H12c zenon_Hdf zenon_H125 zenon_H124 zenon_H123 zenon_H2bc zenon_H245 zenon_H244 zenon_H243 zenon_H143 zenon_H171 zenon_H1c7 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H24c zenon_He6 zenon_H82 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.05 apply (zenon_L458_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.05 apply (zenon_L534_); trivial. % 0.89/1.05 apply (zenon_L76_); trivial. % 0.89/1.05 (* end of lemma zenon_L535_ *) % 0.89/1.05 assert (zenon_L536_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a863))) -> (c0_1 (a863)) -> (c3_1 (a863)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H15f zenon_H32 zenon_H12c zenon_Hdf zenon_H125 zenon_H124 zenon_H123 zenon_H17a zenon_H15b zenon_H88 zenon_H8a zenon_H89 zenon_Hb9 zenon_H23. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.05 apply (zenon_L290_); trivial. % 0.89/1.05 apply (zenon_L76_); trivial. % 0.89/1.05 (* end of lemma zenon_L536_ *) % 0.89/1.05 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_Had zenon_H12e zenon_H1f8 zenon_H11b zenon_H266 zenon_H1e4 zenon_H32 zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H2bc zenon_H245 zenon_H244 zenon_H243 zenon_H143 zenon_H171 zenon_H1c7 zenon_H24c zenon_He6 zenon_H82 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H2e5 zenon_Hc6 zenon_Hc8 zenon_H13e zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H162 zenon_Hf4. % 0.89/1.05 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.89/1.05 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.89/1.05 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_L535_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.05 apply (zenon_L481_); trivial. % 0.89/1.05 apply (zenon_L536_); trivial. % 0.89/1.05 apply (zenon_L519_); trivial. % 0.89/1.05 (* end of lemma zenon_L537_ *) % 0.89/1.05 assert (zenon_L538_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H19c zenon_H199 zenon_H190 zenon_H12e zenon_H1f8 zenon_H11b zenon_H266 zenon_H1e4 zenon_H32 zenon_H12c zenon_H2bc zenon_H245 zenon_H244 zenon_H243 zenon_H143 zenon_H171 zenon_H1c7 zenon_H24c zenon_He6 zenon_H82 zenon_H2da zenon_H2e5 zenon_H13e zenon_H142 zenon_H23 zenon_Hb9 zenon_H15b zenon_H17a zenon_H162 zenon_Hf4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H303 zenon_H2eb zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_L128_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_L528_); trivial. % 0.89/1.05 apply (zenon_L537_); trivial. % 0.89/1.05 (* end of lemma zenon_L538_ *) % 0.89/1.05 assert (zenon_L539_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(c2_1 (a841))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H194 zenon_H190 zenon_H143 zenon_H2e5 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H142 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H96 zenon_H1a0 zenon_H1a1 zenon_H19f zenon_H39 zenon_H38 zenon_H37 zenon_H303 zenon_H2eb. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_L528_); trivial. % 0.89/1.05 apply (zenon_L499_); trivial. % 0.89/1.05 (* end of lemma zenon_L539_ *) % 0.89/1.05 assert (zenon_L540_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H19c zenon_H199 zenon_H190 zenon_H143 zenon_H2e5 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H142 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H96 zenon_H39 zenon_H38 zenon_H37 zenon_H303 zenon_H2eb zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_L128_); trivial. % 0.89/1.05 apply (zenon_L539_); trivial. % 0.89/1.05 (* end of lemma zenon_L540_ *) % 0.89/1.05 assert (zenon_L541_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H2fe zenon_H198 zenon_H142 zenon_H190 zenon_Hae zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H9d zenon_H40 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a zenon_Hf4 zenon_H2eb zenon_H303 zenon_H199. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_L522_); trivial. % 0.89/1.05 apply (zenon_L527_); trivial. % 0.89/1.05 apply (zenon_L41_); trivial. % 0.89/1.05 apply (zenon_L529_); trivial. % 0.89/1.05 apply (zenon_L540_); trivial. % 0.89/1.05 (* end of lemma zenon_L541_ *) % 0.89/1.05 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp5)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp14)) -> (~(hskp12)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H194 zenon_H2ef zenon_H11b zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1bc zenon_H3 zenon_H2ed. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H4a | zenon_intro zenon_H2f0 ]. % 0.89/1.05 apply (zenon_L178_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H4 | zenon_intro zenon_H2ee ]. % 0.89/1.05 exact (zenon_H3 zenon_H4). % 0.89/1.05 exact (zenon_H2ed zenon_H2ee). % 0.89/1.05 (* end of lemma zenon_L542_ *) % 0.89/1.05 assert (zenon_L543_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H199 zenon_H2ef zenon_H2ed zenon_H3 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H11b zenon_H1bc zenon_Hf zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_L128_); trivial. % 0.89/1.05 apply (zenon_L542_); trivial. % 0.89/1.05 (* end of lemma zenon_L543_ *) % 0.89/1.05 assert (zenon_L544_ : ((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H18f zenon_H199 zenon_H190 zenon_H12e zenon_H162 zenon_H1f8 zenon_H11b zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H13e zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H82 zenon_He6 zenon_H142 zenon_H1c7 zenon_H171 zenon_H143 zenon_H12c zenon_Hc4 zenon_H32 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.05 apply (zenon_L128_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.05 apply (zenon_L166_); trivial. % 0.89/1.05 apply (zenon_L520_); trivial. % 0.89/1.05 (* end of lemma zenon_L544_ *) % 0.89/1.05 assert (zenon_L545_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c2_1 (a838))) -> (~(c3_1 (a838))) -> (c1_1 (a838)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> (ndr1_0) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H198 zenon_H193 zenon_H190 zenon_H12e zenon_H162 zenon_H1f8 zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H13e zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H82 zenon_He6 zenon_H142 zenon_H1c7 zenon_H171 zenon_H143 zenon_H12c zenon_Hc4 zenon_H32 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H64 zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H1bc zenon_H11b zenon_H2ed zenon_H2ef zenon_H199 zenon_Hf zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H1c zenon_H18d. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.05 apply (zenon_L157_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.05 apply (zenon_L543_); trivial. % 0.89/1.05 apply (zenon_L544_); trivial. % 0.89/1.05 (* end of lemma zenon_L545_ *) % 0.89/1.05 assert (zenon_L546_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c1_1 (a836))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(hskp3)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H2fe zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H9d zenon_H1c9 zenon_H1cb zenon_H1ca zenon_H40. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.05 apply (zenon_L497_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.05 apply (zenon_L457_); trivial. % 0.89/1.05 apply (zenon_L170_); trivial. % 0.89/1.05 (* end of lemma zenon_L546_ *) % 0.89/1.05 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845))))))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H2b8 zenon_H23d zenon_H305 zenon_H40 zenon_H9d zenon_H18d zenon_H1c zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H199 zenon_H2ef zenon_H11b zenon_H1bc zenon_H10a zenon_H64 zenon_H32 zenon_Hc4 zenon_H12c zenon_H143 zenon_H171 zenon_H1c7 zenon_H142 zenon_He6 zenon_H82 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H13e zenon_H266 zenon_H1f8 zenon_H162 zenon_H12e zenon_H190 zenon_H193 zenon_H198 zenon_H243 zenon_H244 zenon_H245 zenon_H7a zenon_H23a. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.05 apply (zenon_L213_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.05 apply (zenon_L545_); trivial. % 0.89/1.05 apply (zenon_L546_); trivial. % 0.89/1.05 (* end of lemma zenon_L547_ *) % 0.89/1.05 assert (zenon_L548_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (~(hskp30)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c2_1 (a849)) -> (c1_1 (a849)) -> (c0_1 (a849)) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.89/1.05 do 0 intro. intros zenon_H7d zenon_H20c zenon_H20b zenon_H20a zenon_H1c7 zenon_H39 zenon_H38 zenon_H37 zenon_Hcf zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H73 zenon_H72 zenon_H71 zenon_Hf zenon_H7a. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.89/1.05 apply (zenon_L265_); trivial. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.89/1.05 apply (zenon_L30_); trivial. % 0.89/1.05 exact (zenon_H7a zenon_H7b). % 0.89/1.05 (* end of lemma zenon_L548_ *) % 0.89/1.05 assert (zenon_L549_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H197 zenon_H12e zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H20a zenon_H266 zenon_He2 zenon_Hc4 zenon_He6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hf4. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.05 apply (zenon_L458_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.89/1.05 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.05 apply (zenon_L271_); trivial. % 0.89/1.05 apply (zenon_L459_); trivial. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.89/1.05 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.05 apply (zenon_L548_); trivial. % 0.89/1.05 apply (zenon_L460_); trivial. % 0.89/1.05 apply (zenon_L272_); trivial. % 0.89/1.05 apply (zenon_L268_); trivial. % 0.89/1.05 (* end of lemma zenon_L549_ *) % 0.89/1.05 assert (zenon_L550_ : ((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp11))) -> False). % 0.89/1.05 do 0 intro. intros zenon_H240 zenon_H1aa zenon_H12e zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H1c7 zenon_He2 zenon_Hc4 zenon_He6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hf4 zenon_H266 zenon_H20a zenon_H20c zenon_H20b zenon_H245 zenon_H244 zenon_H243 zenon_H279. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.89/1.05 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.89/1.05 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.05 apply (zenon_L274_); trivial. % 0.89/1.05 apply (zenon_L549_); trivial. % 0.89/1.05 (* end of lemma zenon_L550_ *) % 0.89/1.05 assert (zenon_L551_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp2)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He1 zenon_H224 zenon_H114 zenon_H113 zenon_H112 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H7a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H111 | zenon_intro zenon_H225 ]. % 0.89/1.06 apply (zenon_L72_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H87 | zenon_intro zenon_H7b ]. % 0.89/1.06 apply (zenon_L483_); trivial. % 0.89/1.06 exact (zenon_H7a zenon_H7b). % 0.89/1.06 (* end of lemma zenon_L551_ *) % 0.89/1.06 assert (zenon_L552_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> (~(hskp19)) -> (~(hskp23)) -> ((hskp19)\/((hskp30)\/(hskp23))) -> False). % 0.89/1.06 do 0 intro. intros zenon_He6 zenon_H224 zenon_H7a zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2eb zenon_H114 zenon_H113 zenon_H112 zenon_H44 zenon_H13b zenon_H16f. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.06 apply (zenon_L92_); trivial. % 0.89/1.06 apply (zenon_L551_); trivial. % 0.89/1.06 (* end of lemma zenon_L552_ *) % 0.89/1.06 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a858))) -> (~(c1_1 (a858))) -> (~(c2_1 (a858))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H9c zenon_H32 zenon_H23 zenon_H112 zenon_H113 zenon_H114 zenon_H293 zenon_H213 zenon_H1bc zenon_H11b zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H2e zenon_H30 zenon_H7a zenon_H224 zenon_Hb9 zenon_Hab zenon_H1c zenon_H18d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_L107_); trivial. % 0.89/1.06 apply (zenon_L288_); trivial. % 0.89/1.06 (* end of lemma zenon_L553_ *) % 0.89/1.06 assert (zenon_L554_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H194 zenon_H219 zenon_H224 zenon_H7a zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2eb zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_L276_); trivial. % 0.89/1.06 apply (zenon_L496_); trivial. % 0.89/1.06 (* end of lemma zenon_L554_ *) % 0.89/1.06 assert (zenon_L555_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_H199 zenon_H219 zenon_H224 zenon_H7a zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.06 apply (zenon_L128_); trivial. % 0.89/1.06 apply (zenon_L554_); trivial. % 0.89/1.06 (* end of lemma zenon_L555_ *) % 0.89/1.06 assert (zenon_L556_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13))) -> (~(c3_1 (a835))) -> (~(c2_1 (a835))) -> (~(c0_1 (a835))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H306 zenon_H22b zenon_H22a zenon_H229 zenon_Hf zenon_H2ed zenon_Hab. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H1fa | zenon_intro zenon_H307 ]. % 0.89/1.06 apply (zenon_L203_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2ee | zenon_intro zenon_Hac ]. % 0.89/1.06 exact (zenon_H2ed zenon_H2ee). % 0.89/1.06 exact (zenon_Hab zenon_Hac). % 0.89/1.06 (* end of lemma zenon_L556_ *) % 0.89/1.06 assert (zenon_L557_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X89 : zenon_U, ((ndr1_0)->((c1_1 X89)\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp5)\/(hskp16))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H198 zenon_H199 zenon_H219 zenon_H224 zenon_H7a zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H281 zenon_H280 zenon_H27f zenon_H11b zenon_H27e zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a zenon_Hf zenon_H229 zenon_H22a zenon_H22b zenon_H2ed zenon_H306. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.06 apply (zenon_L556_); trivial. % 0.89/1.06 apply (zenon_L555_); trivial. % 0.89/1.06 (* end of lemma zenon_L557_ *) % 0.89/1.06 assert (zenon_L558_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp5)) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H33 zenon_H2e5 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H30 zenon_H11b zenon_H8a zenon_H89 zenon_H280 zenon_H27f zenon_H1bc zenon_H2e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L497_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L452_); trivial. % 0.89/1.06 (* end of lemma zenon_L558_ *) % 0.89/1.06 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(c0_1 (a845))) -> (~(c1_1 (a845))) -> (c3_1 (a845)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H9c zenon_H32 zenon_H2e zenon_H30 zenon_H2f5 zenon_H2f6 zenon_H2f7 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H2e5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L497_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L285_); trivial. % 0.89/1.06 apply (zenon_L558_); trivial. % 0.89/1.06 (* end of lemma zenon_L559_ *) % 0.89/1.06 assert (zenon_L560_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H2fe zenon_Hf4 zenon_H32 zenon_H2e zenon_H30 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H143. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L522_); trivial. % 0.89/1.06 apply (zenon_L559_); trivial. % 0.89/1.06 (* end of lemma zenon_L560_ *) % 0.89/1.06 assert (zenon_L561_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (ndr1_0) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp2)) -> (~(hskp12)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H301 zenon_H20c zenon_H20b zenon_H20a zenon_Hf zenon_H281 zenon_H280 zenon_H27f zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H7a zenon_H2ed. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H302 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.89/1.06 apply (zenon_L212_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.89/1.06 apply (zenon_L278_); trivial. % 0.89/1.06 apply (zenon_L183_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H7b | zenon_intro zenon_H2ee ]. % 0.89/1.06 exact (zenon_H7a zenon_H7b). % 0.89/1.06 exact (zenon_H2ed zenon_H2ee). % 0.89/1.06 (* end of lemma zenon_L561_ *) % 0.89/1.06 assert (zenon_L562_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c0_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H2fe zenon_H219 zenon_H190 zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1a0 zenon_H142 zenon_H266 zenon_H19f zenon_H1a1 zenon_H64 zenon_H245 zenon_H244 zenon_H243 zenon_H7a zenon_H224 zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H215. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_L185_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_L257_); trivial. % 0.89/1.06 apply (zenon_L499_); trivial. % 0.89/1.06 (* end of lemma zenon_L562_ *) % 0.89/1.06 assert (zenon_L563_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H1e4 zenon_H2b3 zenon_H62 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.06 apply (zenon_L458_); trivial. % 0.89/1.06 apply (zenon_L316_); trivial. % 0.89/1.06 (* end of lemma zenon_L563_ *) % 0.89/1.06 assert (zenon_L564_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp17)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf4 zenon_H9d zenon_H40 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H62 zenon_H2b3 zenon_H1e4. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L563_); trivial. % 0.89/1.06 apply (zenon_L311_); trivial. % 0.89/1.06 (* end of lemma zenon_L564_ *) % 0.89/1.06 assert (zenon_L565_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H190 zenon_Hae zenon_Hab zenon_H39 zenon_H38 zenon_H37 zenon_H1e4 zenon_H2b3 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H40 zenon_H9d zenon_Hf4. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_L564_); trivial. % 0.89/1.06 apply (zenon_L41_); trivial. % 0.89/1.06 (* end of lemma zenon_L565_ *) % 0.89/1.06 assert (zenon_L566_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a846)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c0_1 (a846))) -> (~(hskp3)) -> (ndr1_0) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp23)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H13e zenon_Hc8 zenon_H2dc zenon_Hc6 zenon_H40 zenon_Hf zenon_H1ca zenon_H1cb zenon_H299 zenon_H29a zenon_H29b zenon_H9d zenon_H13b. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.89/1.06 apply (zenon_L478_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.89/1.06 apply (zenon_L319_); trivial. % 0.89/1.06 exact (zenon_H13b zenon_H13c). % 0.89/1.06 (* end of lemma zenon_L566_ *) % 0.89/1.06 assert (zenon_L567_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(c1_1 (a836))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_H162 zenon_H1f8 zenon_H11b zenon_H5 zenon_H155 zenon_H13e zenon_H299 zenon_H29a zenon_H29b zenon_H1ca zenon_H1cb zenon_H40 zenon_H9d zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1c9 zenon_H2e5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L566_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L170_); trivial. % 0.89/1.06 apply (zenon_L171_); trivial. % 0.89/1.06 (* end of lemma zenon_L567_ *) % 0.89/1.06 assert (zenon_L568_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c1_1 (a859))) -> (~(c3_1 (a859))) -> (c0_1 (a859)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf4 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H82 zenon_He6 zenon_H24c zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1c7 zenon_H171 zenon_H143 zenon_H243 zenon_H244 zenon_H245 zenon_H2bc zenon_H123 zenon_H124 zenon_H125 zenon_Hdf zenon_H12c zenon_H32 zenon_H1e4. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L535_); trivial. % 0.89/1.06 apply (zenon_L311_); trivial. % 0.89/1.06 (* end of lemma zenon_L568_ *) % 0.89/1.06 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (c2_1 (a868)) -> (~(c1_1 (a868))) -> (~(c3_1 (a868))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp7)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He1 zenon_H15d zenon_H149 zenon_H148 zenon_H146 zenon_He8 zenon_He9 zenon_Hea zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H15b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.89/1.06 apply (zenon_L235_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.89/1.06 apply (zenon_L483_); trivial. % 0.89/1.06 exact (zenon_H15b zenon_H15c). % 0.89/1.06 (* end of lemma zenon_L569_ *) % 0.89/1.06 assert (zenon_L570_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_H199 zenon_H219 zenon_H217 zenon_H1c zenon_H2eb zenon_H303 zenon_H37 zenon_H38 zenon_H39 zenon_H96 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf4 zenon_H9d zenon_H40 zenon_H29b zenon_H29a zenon_H299 zenon_H2da zenon_H82 zenon_He6 zenon_H24c zenon_H1c7 zenon_H171 zenon_H143 zenon_H243 zenon_H244 zenon_H245 zenon_H2bc zenon_H12c zenon_H32 zenon_H1e4 zenon_H2e5 zenon_H13e zenon_H142 zenon_Hd3 zenon_H266 zenon_H15b zenon_H15d zenon_H162 zenon_H12e zenon_H190 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.06 apply (zenon_L128_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_L528_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_L568_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_L481_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.06 apply (zenon_L53_); trivial. % 0.89/1.06 apply (zenon_L569_); trivial. % 0.89/1.06 apply (zenon_L186_); trivial. % 0.89/1.06 (* end of lemma zenon_L570_ *) % 0.89/1.06 assert (zenon_L571_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a844)) -> (~(c1_1 (a844))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a844))) -> (c3_1 (a857)) -> (c2_1 (a857)) -> (c1_1 (a857)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He2 zenon_H39 zenon_H37 zenon_H2dc zenon_H38 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hf zenon_Hdf. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.89/1.06 generalize (zenon_H98 (a844)). zenon_intro zenon_Hb6. % 0.89/1.06 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_He | zenon_intro zenon_Hb7 ]. % 0.89/1.06 exact (zenon_He zenon_Hf). % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H3f | zenon_intro zenon_Hb8 ]. % 0.89/1.06 exact (zenon_H38 zenon_H3f). % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H3e ]. % 0.89/1.06 generalize (zenon_H2dc (a844)). zenon_intro zenon_H308. % 0.89/1.06 apply (zenon_imply_s _ _ zenon_H308); [ zenon_intro zenon_He | zenon_intro zenon_H309 ]. % 0.89/1.06 exact (zenon_He zenon_Hf). % 0.89/1.06 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H30a ]. % 0.89/1.06 exact (zenon_Hb2 zenon_Hb5). % 0.89/1.06 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 0.89/1.06 exact (zenon_H37 zenon_H3d). % 0.89/1.06 exact (zenon_H3e zenon_H39). % 0.89/1.06 exact (zenon_H3e zenon_H39). % 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.89/1.06 apply (zenon_L54_); trivial. % 0.89/1.06 exact (zenon_Hdf zenon_He0). % 0.89/1.06 (* end of lemma zenon_L571_ *) % 0.89/1.06 assert (zenon_L572_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a857)) -> (c2_1 (a857)) -> (c1_1 (a857)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He2 zenon_H1cb zenon_H1ca zenon_H131 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hf zenon_Hdf. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.89/1.06 apply (zenon_L169_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.89/1.06 apply (zenon_L54_); trivial. % 0.89/1.06 exact (zenon_Hdf zenon_He0). % 0.89/1.06 (* end of lemma zenon_L572_ *) % 0.89/1.06 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c3_1 (a844)) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(hskp18)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He1 zenon_H2e5 zenon_H38 zenon_H37 zenon_H39 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_He2 zenon_H1cb zenon_H1ca zenon_Hdf. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.89/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L571_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L572_); trivial. % 0.89/1.06 (* end of lemma zenon_L573_ *) % 0.89/1.06 assert (zenon_L574_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp23)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(hskp3)) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H13d zenon_H2e5 zenon_H13b zenon_H9d zenon_H29b zenon_H29a zenon_H299 zenon_H1cb zenon_H1ca zenon_H40 zenon_Hc6 zenon_Hc8 zenon_H13e zenon_H2d3 zenon_H2d2 zenon_H2d1. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L566_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L80_); trivial. % 0.89/1.06 (* end of lemma zenon_L574_ *) % 0.89/1.06 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c1_1 (a861))) -> (c0_1 (a861)) -> (c2_1 (a861)) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp3)) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp5)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H15f zenon_H1f8 zenon_He8 zenon_He9 zenon_Hea zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H40 zenon_H1ca zenon_H1cb zenon_H299 zenon_H29a zenon_H29b zenon_H9d zenon_H11b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.06 apply (zenon_L235_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L319_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 (* end of lemma zenon_L575_ *) % 0.89/1.06 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H143 zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc6 zenon_Hc8 zenon_H9d zenon_H40 zenon_H1cb zenon_H1ca zenon_H29b zenon_H29a zenon_H299 zenon_H13e zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H266 zenon_H11b zenon_H1f8 zenon_H162. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.06 apply (zenon_L214_); trivial. % 0.89/1.06 apply (zenon_L574_); trivial. % 0.89/1.06 apply (zenon_L575_); trivial. % 0.89/1.06 apply (zenon_L311_); trivial. % 0.89/1.06 (* end of lemma zenon_L576_ *) % 0.89/1.06 assert (zenon_L577_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c1_1 (a836))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c2_1 (a844))) -> (~(c1_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((hskp30)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_H219 zenon_H268 zenon_H1c9 zenon_He6 zenon_H2e5 zenon_H1ca zenon_H1cb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H38 zenon_H37 zenon_H39 zenon_He2 zenon_Hd3 zenon_H162 zenon_H1f8 zenon_H11b zenon_H266 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H13e zenon_H299 zenon_H29a zenon_H29b zenon_H40 zenon_H9d zenon_H143 zenon_Hf4 zenon_H12e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.06 apply (zenon_L53_); trivial. % 0.89/1.06 apply (zenon_L573_); trivial. % 0.89/1.06 apply (zenon_L576_); trivial. % 0.89/1.06 apply (zenon_L368_); trivial. % 0.89/1.06 (* end of lemma zenon_L577_ *) % 0.89/1.06 assert (zenon_L578_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H197 zenon_H12e zenon_H266 zenon_H20a zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_He2 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_He6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.06 apply (zenon_L387_); trivial. % 0.89/1.06 apply (zenon_L573_); trivial. % 0.89/1.06 apply (zenon_L268_); trivial. % 0.89/1.06 (* end of lemma zenon_L578_ *) % 0.89/1.06 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H226 zenon_H1aa zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_Hf4 zenon_He6 zenon_He2 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_H20a zenon_H266 zenon_H299 zenon_H29a zenon_H29b zenon_H2a9 zenon_H12e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L310_); trivial. % 0.89/1.06 apply (zenon_L389_); trivial. % 0.89/1.06 apply (zenon_L268_); trivial. % 0.89/1.06 apply (zenon_L578_); trivial. % 0.89/1.06 (* end of lemma zenon_L579_ *) % 0.89/1.06 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp22)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H27b zenon_H23f zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2e5 zenon_H23d zenon_H1aa zenon_H198 zenon_H199 zenon_H24c zenon_H12c zenon_H243 zenon_H244 zenon_H245 zenon_H266 zenon_H10a zenon_H1e4 zenon_H1d6 zenon_Hf9 zenon_H96 zenon_H110 zenon_Hae zenon_H2b5 zenon_H12e zenon_H2a9 zenon_H23 zenon_Hb9 zenon_H30 zenon_H1c7 zenon_Hf1 zenon_H2b3 zenon_He2 zenon_He6 zenon_H32 zenon_Hf4 zenon_H142 zenon_H171 zenon_H143 zenon_H190 zenon_H193 zenon_H299 zenon_H29a zenon_H29b zenon_H2a2 zenon_H64 zenon_H2b7. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.06 apply (zenon_L383_); trivial. % 0.89/1.06 apply (zenon_L579_); trivial. % 0.89/1.06 (* end of lemma zenon_L580_ *) % 0.89/1.06 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Had zenon_H32 zenon_H23 zenon_H30 zenon_H2e zenon_Hf1 zenon_H27f zenon_H280 zenon_H281 zenon_H11b zenon_H1bc zenon_H299 zenon_H29a zenon_H29b zenon_H213 zenon_H293 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H18d zenon_H1c zenon_Hab zenon_H171 zenon_H143. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_L516_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.06 apply (zenon_L149_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H147 | zenon_intro zenon_H294 ]. % 0.89/1.06 apply (zenon_L280_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H86 | zenon_intro zenon_H214 ]. % 0.89/1.06 apply (zenon_L302_); trivial. % 0.89/1.06 exact (zenon_H213 zenon_H214). % 0.89/1.06 apply (zenon_L16_); trivial. % 0.89/1.06 (* end of lemma zenon_L581_ *) % 0.89/1.06 assert (zenon_L582_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c3_1 (a846)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c0_1 (a846))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c2_1 (a863))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (ndr1_0) -> (~(hskp25)) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp23)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H13e zenon_Hc8 zenon_H2dc zenon_Hc6 zenon_H11b zenon_Hb9 zenon_H88 zenon_H89 zenon_H8a zenon_Hf zenon_H1a zenon_H280 zenon_H27f zenon_H1bc zenon_H13b. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H122 | zenon_intro zenon_H141 ]. % 0.89/1.06 apply (zenon_L478_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H131 | zenon_intro zenon_H13c ]. % 0.89/1.06 apply (zenon_L285_); trivial. % 0.89/1.06 exact (zenon_H13b zenon_H13c). % 0.89/1.06 (* end of lemma zenon_L582_ *) % 0.89/1.06 assert (zenon_L583_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(hskp23)) -> (~(c0_1 (a846))) -> (c3_1 (a846)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c2_1 (a863))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H2e5 zenon_H13b zenon_Hc6 zenon_Hc8 zenon_H13e zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1bc zenon_H27f zenon_H280 zenon_H1a zenon_Hf zenon_H8a zenon_H89 zenon_H88 zenon_Hb9 zenon_H11b. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L582_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L285_); trivial. % 0.89/1.06 (* end of lemma zenon_L583_ *) % 0.89/1.06 assert (zenon_L584_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (c2_1 (a890)) -> (~(c3_1 (a890))) -> (~(c0_1 (a890))) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a863)) -> (c3_1 (a863)) -> (~(c0_1 (a853))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H30 zenon_H27 zenon_H26 zenon_H25 zenon_H11b zenon_Hf zenon_H8a zenon_H89 zenon_H123 zenon_H4a zenon_H124 zenon_H125 zenon_H1bc zenon_H2e. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.89/1.06 apply (zenon_L14_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.06 apply (zenon_L141_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L105_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 exact (zenon_H2e zenon_H2f). % 0.89/1.06 (* end of lemma zenon_L584_ *) % 0.89/1.06 assert (zenon_L585_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp12)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H33 zenon_H2ef zenon_H2e zenon_H1bc zenon_H125 zenon_H124 zenon_H123 zenon_H89 zenon_H8a zenon_H11b zenon_H30 zenon_H3 zenon_H2ed. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H4a | zenon_intro zenon_H2f0 ]. % 0.89/1.06 apply (zenon_L584_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H4 | zenon_intro zenon_H2ee ]. % 0.89/1.06 exact (zenon_H3 zenon_H4). % 0.89/1.06 exact (zenon_H2ed zenon_H2ee). % 0.89/1.06 (* end of lemma zenon_L585_ *) % 0.89/1.06 assert (zenon_L586_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (c3_1 (a875)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a875)) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hb9 zenon_H89 zenon_H8a zenon_H88 zenon_H134 zenon_H188 zenon_H132 zenon_Hf zenon_H1a. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H98 | zenon_intro zenon_Hba ]. % 0.89/1.06 apply (zenon_L37_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H10 | zenon_intro zenon_H1b ]. % 0.89/1.06 apply (zenon_L216_); trivial. % 0.89/1.06 exact (zenon_H1a zenon_H1b). % 0.89/1.06 (* end of lemma zenon_L586_ *) % 0.89/1.06 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a863)) -> (c0_1 (a863)) -> (~(c2_1 (a863))) -> (~(hskp25)) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp14)) -> (~(hskp12)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H13d zenon_H2ef zenon_H11b zenon_Hb9 zenon_H89 zenon_H8a zenon_H88 zenon_H1a zenon_H123 zenon_H124 zenon_H125 zenon_H1bc zenon_H3 zenon_H2ed. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H4a | zenon_intro zenon_H2f0 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.06 apply (zenon_L141_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L586_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H4 | zenon_intro zenon_H2ee ]. % 0.89/1.06 exact (zenon_H3 zenon_H4). % 0.89/1.06 exact (zenon_H2ed zenon_H2ee). % 0.89/1.06 (* end of lemma zenon_L587_ *) % 0.89/1.06 assert (zenon_L588_ : ((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(c0_1 (a853))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Had zenon_Hf4 zenon_H32 zenon_H30 zenon_H142 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H1bc zenon_H11b zenon_Hb9 zenon_H125 zenon_H124 zenon_H123 zenon_H3 zenon_H2ed zenon_H2ef zenon_H143 zenon_H299 zenon_H29a zenon_H29b zenon_H2e zenon_H2a9. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L310_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.06 apply (zenon_L149_); trivial. % 0.89/1.06 apply (zenon_L587_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.06 apply (zenon_L149_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H4a | zenon_intro zenon_H2f0 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.89/1.06 apply (zenon_L14_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.06 apply (zenon_L141_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L216_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 exact (zenon_H2e zenon_H2f). % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H4 | zenon_intro zenon_H2ee ]. % 0.89/1.06 exact (zenon_H3 zenon_H4). % 0.89/1.06 exact (zenon_H2ed zenon_H2ee). % 0.89/1.06 (* end of lemma zenon_L588_ *) % 0.89/1.06 assert (zenon_L589_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(c3_1 (a851))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (ndr1_0) -> (~(c0_1 (a853))) -> (c1_1 (a853)) -> (c3_1 (a853)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H12e zenon_Hf4 zenon_H32 zenon_H30 zenon_Hf1 zenon_Hb9 zenon_H23 zenon_H2e zenon_H2a9 zenon_H2b3 zenon_H62 zenon_H5a zenon_H5b zenon_H59 zenon_H29b zenon_H29a zenon_H299 zenon_Hf zenon_H123 zenon_H124 zenon_H125 zenon_H12c. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_L372_); trivial. % 0.89/1.06 apply (zenon_L336_); trivial. % 0.89/1.06 (* end of lemma zenon_L589_ *) % 0.89/1.06 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> (~(c0_1 (a846))) -> (~(c2_1 (a846))) -> (c3_1 (a846)) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H18f zenon_H199 zenon_H190 zenon_H82 zenon_He6 zenon_H142 zenon_H1c7 zenon_H171 zenon_H143 zenon_Hc4 zenon_H12c zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H2a9 zenon_H2e zenon_H23 zenon_Hb9 zenon_Hf1 zenon_H30 zenon_H32 zenon_Hf4 zenon_H12e zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.06 apply (zenon_L128_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_L589_); trivial. % 0.89/1.06 apply (zenon_L155_); trivial. % 0.89/1.06 (* end of lemma zenon_L590_ *) % 0.89/1.06 assert (zenon_L591_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_H193 zenon_H82 zenon_He6 zenon_H1c7 zenon_H171 zenon_Hc4 zenon_H12c zenon_Hf1 zenon_H12e zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_Hf4 zenon_H162 zenon_H17a zenon_H15b zenon_H23 zenon_H2e5 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H13e zenon_H30 zenon_H2e zenon_H2ed zenon_H2ef zenon_H32 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H1e4 zenon_H2a9 zenon_H143 zenon_H142 zenon_H190 zenon_H199. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.06 apply (zenon_L128_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L563_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_L583_); trivial. % 0.89/1.06 apply (zenon_L585_); trivial. % 0.89/1.06 apply (zenon_L291_); trivial. % 0.89/1.06 apply (zenon_L588_); trivial. % 0.89/1.06 apply (zenon_L590_); trivial. % 0.89/1.06 (* end of lemma zenon_L591_ *) % 0.89/1.06 assert (zenon_L592_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H2fe zenon_H190 zenon_H143 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H142 zenon_H1e4 zenon_H2b3 zenon_H29b zenon_H29a zenon_H299 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H2e5 zenon_H280 zenon_H27f zenon_Hb9 zenon_H11b zenon_H1bc zenon_H30 zenon_H2e zenon_H32 zenon_Hf4. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L563_); trivial. % 0.89/1.06 apply (zenon_L559_); trivial. % 0.89/1.06 apply (zenon_L499_); trivial. % 0.89/1.06 (* end of lemma zenon_L592_ *) % 0.89/1.06 assert (zenon_L593_ : ((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(c1_1 (a831))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H33 zenon_H23 zenon_H30 zenon_H2e zenon_H1bc zenon_H11b zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H281 zenon_H280 zenon_H27f zenon_Hf1 zenon_H1f8. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hf. zenon_intro zenon_H34. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H27. zenon_intro zenon_H35. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.06 apply (zenon_L279_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L156_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.06 apply (zenon_L296_); trivial. % 0.89/1.06 exact (zenon_H11b zenon_H11c). % 0.89/1.06 apply (zenon_L16_); trivial. % 0.89/1.06 (* end of lemma zenon_L593_ *) % 0.89/1.06 assert (zenon_L594_ : ((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (~(c1_1 (a831))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H19c zenon_Hf4 zenon_H162 zenon_H266 zenon_H245 zenon_H244 zenon_H243 zenon_H2e5 zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1bc zenon_H11b zenon_Hb9 zenon_H27f zenon_H280 zenon_H13e zenon_H1f8 zenon_Hf1 zenon_H281 zenon_H30 zenon_H23 zenon_H32 zenon_H299 zenon_H29a zenon_H29b zenon_H2e zenon_H2a9. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L310_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L582_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L296_); trivial. % 0.89/1.06 apply (zenon_L593_); trivial. % 0.89/1.06 apply (zenon_L297_); trivial. % 0.89/1.06 (* end of lemma zenon_L594_ *) % 0.89/1.06 assert (zenon_L595_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(c1_1 (a836))) -> (~(hskp5)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H2fe zenon_H2e5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1bc zenon_H27f zenon_H280 zenon_H1cb zenon_H1ca zenon_H1c9 zenon_H11b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.06 apply (zenon_L497_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.06 apply (zenon_L457_); trivial. % 0.89/1.06 apply (zenon_L296_); trivial. % 0.89/1.06 (* end of lemma zenon_L595_ *) % 0.89/1.06 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H293 zenon_H213 zenon_H15b zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H1e4 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H62 zenon_H64 zenon_H85. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_L533_); trivial. % 0.89/1.06 apply (zenon_L414_); trivial. % 0.89/1.06 (* end of lemma zenon_L596_ *) % 0.89/1.06 assert (zenon_L597_ : ((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp7)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H15f zenon_H23 zenon_H30 zenon_H2e zenon_H2bd zenon_H2be zenon_H2bf zenon_H20a zenon_H20b zenon_H20c zenon_H266 zenon_H15b zenon_H17a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_Hf. zenon_intro zenon_H160. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H160). zenon_intro zenon_H149. zenon_intro zenon_H161. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H148. zenon_intro zenon_H146. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.06 apply (zenon_L98_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.89/1.06 apply (zenon_L408_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.89/1.06 apply (zenon_L225_); trivial. % 0.89/1.06 apply (zenon_L183_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.89/1.06 apply (zenon_L9_); trivial. % 0.89/1.06 exact (zenon_H2e zenon_H2f). % 0.89/1.06 (* end of lemma zenon_L597_ *) % 0.89/1.06 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c3_1 (a829))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf3 zenon_H23 zenon_H30 zenon_H2e zenon_H2bd zenon_H2be zenon_H2bf zenon_H20a zenon_H20b zenon_H20c zenon_H266 zenon_H59 zenon_H5a zenon_H5b zenon_Hf1. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.06 apply (zenon_L59_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hf. zenon_intro zenon_H20. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H11. zenon_intro zenon_H21. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H13. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H24 | zenon_intro zenon_H31 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H232 | zenon_intro zenon_H267 ]. % 0.89/1.06 apply (zenon_L408_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_He7 | zenon_intro zenon_H145 ]. % 0.89/1.06 apply (zenon_L58_); trivial. % 0.89/1.06 apply (zenon_L183_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H2f ]. % 0.89/1.06 apply (zenon_L9_); trivial. % 0.89/1.06 exact (zenon_H2e zenon_H2f). % 0.89/1.06 (* end of lemma zenon_L598_ *) % 0.89/1.06 assert (zenon_L599_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(c2_1 (a858))) -> (~(c1_1 (a858))) -> (~(c0_1 (a858))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H224 zenon_H2be zenon_H2bd zenon_H2bf zenon_H213 zenon_H293 zenon_H114 zenon_H113 zenon_H112 zenon_H1e4 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H64 zenon_H62 zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H155 zenon_H85. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.06 apply (zenon_L532_); trivial. % 0.89/1.06 apply (zenon_L428_); trivial. % 0.89/1.06 apply (zenon_L429_); trivial. % 0.89/1.06 (* end of lemma zenon_L599_ *) % 0.89/1.06 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a835)))/\((~(c2_1 (a835)))/\(~(c3_1 (a835))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a846))/\((~(c0_1 (a846)))/\(~(c2_1 (a846))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((hskp17)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/((hskp24)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a851))/\((c2_1 (a851))/\(~(c3_1 (a851))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a858)))/\((~(c1_1 (a858)))/\(~(c2_1 (a858))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a868))/\((~(c1_1 (a868)))/\(~(c3_1 (a868))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c1_1 X82)\/((c3_1 X82)\/(~(c2_1 X82))))))\/((hskp28)\/(hskp7))) -> ((hskp19)\/((hskp30)\/(hskp23))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a829))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp16)\/(hskp6))) -> (~(hskp4)) -> ((hskp9)\/((hskp14)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp4))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> False). % 0.89/1.06 do 0 intro. intros zenon_H27b zenon_H23c zenon_H198 zenon_H1c7 zenon_H163 zenon_Hae zenon_H203 zenon_H23d zenon_H1a8 zenon_H193 zenon_H219 zenon_H12e zenon_Hf1 zenon_H162 zenon_H23 zenon_H266 zenon_H17a zenon_H16f zenon_H23a zenon_H7a zenon_H2bf zenon_H2be zenon_H2bd zenon_H30 zenon_H12c zenon_He6 zenon_H293 zenon_H224 zenon_Hf4 zenon_H215 zenon_H5 zenon_H7 zenon_H85 zenon_H155 zenon_H64 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H82 zenon_H7d zenon_He2 zenon_Hc4 zenon_Hb9 zenon_H48 zenon_H32 zenon_H1e4 zenon_Hf9 zenon_H15d zenon_H110 zenon_H190 zenon_H1aa zenon_H205 zenon_H23f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.06 apply (zenon_L4_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_L185_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.06 apply (zenon_L410_); trivial. % 0.89/1.06 apply (zenon_L597_); trivial. % 0.89/1.06 apply (zenon_L429_); trivial. % 0.89/1.06 apply (zenon_L598_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.06 apply (zenon_L4_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.06 apply (zenon_L185_); trivial. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.06 apply (zenon_L465_); trivial. % 0.89/1.06 apply (zenon_L428_); trivial. % 0.89/1.06 apply (zenon_L429_); trivial. % 0.89/1.06 apply (zenon_L599_); trivial. % 0.89/1.06 apply (zenon_L419_); trivial. % 0.89/1.06 apply (zenon_L200_); trivial. % 0.89/1.06 apply (zenon_L431_); trivial. % 0.89/1.06 apply (zenon_L509_); trivial. % 0.89/1.06 (* end of lemma zenon_L600_ *) % 0.89/1.06 assert (zenon_L601_ : ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a844)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c2_1 (a844))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(hskp18)) -> False). % 0.89/1.06 do 0 intro. intros zenon_He2 zenon_H39 zenon_H65 zenon_H38 zenon_H125 zenon_H124 zenon_Hf zenon_H87 zenon_Hdf. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H98 | zenon_intro zenon_He5 ]. % 0.89/1.06 apply (zenon_L43_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He0 ]. % 0.89/1.06 apply (zenon_L494_); trivial. % 0.89/1.06 exact (zenon_Hdf zenon_He0). % 0.89/1.06 (* end of lemma zenon_L601_ *) % 0.89/1.06 assert (zenon_L602_ : ((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(hskp2)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (c3_1 (a853)) -> (c1_1 (a853)) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp7)) -> False). % 0.89/1.06 do 0 intro. intros zenon_H7c zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H7a zenon_He2 zenon_H39 zenon_H38 zenon_H125 zenon_H124 zenon_Hdf zenon_H7d zenon_H15b. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Hf. zenon_intro zenon_H7e. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.89/1.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H73. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.89/1.06 apply (zenon_L413_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H65 | zenon_intro zenon_H80 ]. % 0.89/1.06 apply (zenon_L601_); trivial. % 0.89/1.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H70 | zenon_intro zenon_H7b ]. % 0.89/1.06 apply (zenon_L30_); trivial. % 0.89/1.06 exact (zenon_H7a zenon_H7b). % 0.89/1.06 exact (zenon_H15b zenon_H15c). % 0.89/1.06 (* end of lemma zenon_L602_ *) % 0.89/1.06 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (c1_1 (a853)) -> (c3_1 (a853)) -> (~(hskp18)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H1e1 zenon_H82 zenon_H7a zenon_H7d zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc4 zenon_H38 zenon_H39 zenon_H124 zenon_H125 zenon_Hdf zenon_He2 zenon_H15b zenon_H15d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.89/1.07 apply (zenon_L601_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.89/1.07 apply (zenon_L161_); trivial. % 0.89/1.07 exact (zenon_H54 zenon_H55). % 0.89/1.07 exact (zenon_H15b zenon_H15c). % 0.89/1.07 apply (zenon_L602_); trivial. % 0.89/1.07 (* end of lemma zenon_L603_ *) % 0.89/1.07 assert (zenon_L604_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H194 zenon_H12e zenon_H1e4 zenon_H82 zenon_H7a zenon_H7d zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc4 zenon_H38 zenon_H39 zenon_He2 zenon_H15b zenon_H15d zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_He6 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_H20c zenon_H20b zenon_Hb9 zenon_H20a zenon_H266 zenon_H12c zenon_H32 zenon_Hf4. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.07 apply (zenon_L458_); trivial. % 0.89/1.07 apply (zenon_L603_); trivial. % 0.89/1.07 apply (zenon_L376_); trivial. % 0.89/1.07 apply (zenon_L268_); trivial. % 0.89/1.07 (* end of lemma zenon_L604_ *) % 0.89/1.07 assert (zenon_L605_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H197 zenon_H199 zenon_H1e4 zenon_H82 zenon_H7a zenon_H7d zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc4 zenon_H15b zenon_H15d zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_Hb9 zenon_H12c zenon_H32 zenon_Hf4 zenon_He6 zenon_He2 zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H10a zenon_H12e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L269_); trivial. % 0.89/1.07 apply (zenon_L604_); trivial. % 0.89/1.07 (* end of lemma zenon_L605_ *) % 0.89/1.07 assert (zenon_L606_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> (ndr1_0) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> (~(hskp2)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp9)\/(hskp2))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H23d zenon_H1aa zenon_H199 zenon_H1e4 zenon_H82 zenon_H7d zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H12c zenon_H10a zenon_H15d zenon_H15b zenon_H64 zenon_H20c zenon_H20b zenon_H20a zenon_H266 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf4 zenon_Hb9 zenon_He2 zenon_He6 zenon_H24c zenon_H171 zenon_H1c7 zenon_H143 zenon_H30 zenon_H32 zenon_H12e zenon_H190 zenon_Hf zenon_H243 zenon_H244 zenon_H245 zenon_H7a zenon_H23a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L443_); trivial. % 0.89/1.07 apply (zenon_L605_); trivial. % 0.89/1.07 (* end of lemma zenon_L606_ *) % 0.89/1.07 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a838))/\((~(c2_1 (a838)))/\(~(c3_1 (a838)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((hskp31)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp25))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a875))/\((c2_1 (a875))/\(c3_1 (a875)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H2b8 zenon_H1aa zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_Hc4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H266 zenon_H20a zenon_H20b zenon_H20c zenon_H64 zenon_H245 zenon_H244 zenon_H243 zenon_Hf4 zenon_Hb9 zenon_He2 zenon_He6 zenon_H24c zenon_H171 zenon_H1c7 zenon_H143 zenon_H30 zenon_H32 zenon_H12e zenon_H190. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L394_); trivial. % 0.89/1.07 apply (zenon_L549_); trivial. % 0.89/1.07 (* end of lemma zenon_L607_ *) % 0.89/1.07 assert (zenon_L608_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c3_1 (a844)) -> (~(c2_1 (a844))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.89/1.07 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H39 zenon_H38 zenon_H65 zenon_H37 zenon_Hf zenon_H11b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.07 apply (zenon_L284_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_L244_); trivial. % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 (* end of lemma zenon_L608_ *) % 0.89/1.07 assert (zenon_L609_ : ((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a851))) -> (c1_1 (a851)) -> (c2_1 (a851)) -> (~(hskp17)) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H81 zenon_H1e4 zenon_H82 zenon_H7d zenon_H7a zenon_H59 zenon_H5a zenon_H5b zenon_H62 zenon_H64 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc4 zenon_H280 zenon_H27f zenon_H37 zenon_H38 zenon_H39 zenon_H11b zenon_H1bc zenon_H1f8 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H44 zenon_H2da. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H83. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H4d. zenon_intro zenon_H84. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.07 apply (zenon_L458_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Hf. zenon_intro zenon_H1e2. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1d9. zenon_intro zenon_H1e3. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1da. zenon_intro zenon_H1d8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H54 | zenon_intro zenon_H7c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hc5 ]. % 0.89/1.07 apply (zenon_L608_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hbb | zenon_intro zenon_H55 ]. % 0.89/1.07 apply (zenon_L161_); trivial. % 0.89/1.07 exact (zenon_H54 zenon_H55). % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 apply (zenon_L32_); trivial. % 0.89/1.07 (* end of lemma zenon_L609_ *) % 0.89/1.07 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((hskp19)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp28))) -> (c2_1 (a851)) -> (c1_1 (a851)) -> (~(c3_1 (a851))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp29))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a849))/\((c1_1 (a849))/\(c2_1 (a849)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a839))/\((c1_1 (a839))/\(c3_1 (a839)))))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a844))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X92 : zenon_U, ((ndr1_0)->((c2_1 X92)\/((c3_1 X92)\/(~(c1_1 X92))))))\/((forall X84 : zenon_U, ((ndr1_0)->((c3_1 X84)\/((~(c1_1 X84))\/(~(c2_1 X84))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a864))/\((~(c0_1 (a864)))/\(~(c2_1 (a864))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H293 zenon_H213 zenon_H15b zenon_H15d zenon_H1e4 zenon_H32 zenon_H48 zenon_Hf1 zenon_H5b zenon_H5a zenon_H59 zenon_Hc4 zenon_H38 zenon_H39 zenon_Hb9 zenon_H7a zenon_H7d zenon_H82 zenon_H23 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2da zenon_H1f8 zenon_H1bc zenon_H11b zenon_H37 zenon_H27f zenon_H280 zenon_H2bf zenon_H2bd zenon_H2be zenon_H64 zenon_H62 zenon_H85. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.07 apply (zenon_L532_); trivial. % 0.89/1.07 apply (zenon_L609_); trivial. % 0.89/1.07 apply (zenon_L414_); trivial. % 0.89/1.07 (* end of lemma zenon_L610_ *) % 0.89/1.07 assert (zenon_L611_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c2_1 (a841))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp7)) -> False). % 0.89/1.07 do 0 intro. intros zenon_H194 zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_H19f zenon_H1a1 zenon_H1a0 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H15b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.89/1.07 apply (zenon_L495_); trivial. % 0.89/1.07 exact (zenon_H15b zenon_H15c). % 0.89/1.07 (* end of lemma zenon_L611_ *) % 0.89/1.07 assert (zenon_L612_ : ((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c2_1 (a841))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H197 zenon_H199 zenon_H15d zenon_H15b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H2be zenon_H2bd zenon_H2bf zenon_H10a zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H280 zenon_H27f zenon_H11b zenon_H1bc zenon_H1f8. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H65 | zenon_intro zenon_H10b ]. % 0.89/1.07 apply (zenon_L608_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H109 ]. % 0.89/1.07 apply (zenon_L123_); trivial. % 0.89/1.07 exact (zenon_H108 zenon_H109). % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 apply (zenon_L611_); trivial. % 0.89/1.07 (* end of lemma zenon_L612_ *) % 0.89/1.07 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> (c2_1 (a831)) -> (c3_1 (a831)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c0_1 (a835))) -> (~(c2_1 (a835))) -> (~(c3_1 (a835))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp11)\/(hskp4))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H207 zenon_H1aa zenon_H199 zenon_H15d zenon_H15b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H2be zenon_H2bd zenon_H2bf zenon_H10a zenon_H280 zenon_H27f zenon_H11b zenon_H1bc zenon_H1f8 zenon_H229 zenon_H22a zenon_H22b zenon_H5 zenon_H203. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L204_); trivial. % 0.89/1.07 apply (zenon_L612_); trivial. % 0.89/1.07 (* end of lemma zenon_L613_ *) % 0.89/1.07 assert (zenon_L614_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.89/1.07 do 0 intro. intros zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H132 zenon_H134 zenon_H133 zenon_Hd5 zenon_Hf zenon_H11b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1bd ]. % 0.89/1.07 apply (zenon_L284_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H188 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_L150_); trivial. % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 (* end of lemma zenon_L614_ *) % 0.89/1.07 assert (zenon_L615_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a841))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a875)) -> (c3_1 (a875)) -> (c2_1 (a875)) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.89/1.07 do 0 intro. intros zenon_H2eb zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1a0 zenon_H1a1 zenon_H87 zenon_H19f zenon_H1bc zenon_H27f zenon_H280 zenon_H131 zenon_H132 zenon_H134 zenon_H133 zenon_Hf zenon_H11b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2ec ]. % 0.89/1.07 apply (zenon_L457_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2e7 | zenon_intro zenon_Hd5 ]. % 0.89/1.07 apply (zenon_L482_); trivial. % 0.89/1.07 apply (zenon_L614_); trivial. % 0.89/1.07 (* end of lemma zenon_L615_ *) % 0.89/1.07 assert (zenon_L616_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (ndr1_0) -> (c2_1 (a875)) -> (c3_1 (a875)) -> (c0_1 (a875)) -> (c2_1 (a831)) -> (c3_1 (a831)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/(hskp5))) -> (~(c2_1 (a841))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a841)) -> (c0_1 (a841)) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46)))))))) -> (~(hskp5)) -> False). % 0.89/1.07 do 0 intro. intros zenon_H1f8 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf zenon_H133 zenon_H134 zenon_H132 zenon_H280 zenon_H27f zenon_H1bc zenon_H19f zenon_H87 zenon_H1a1 zenon_H1a0 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2eb zenon_H11b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_L615_); trivial. % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 (* end of lemma zenon_L616_ *) % 0.89/1.07 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> (c3_1 (a845)) -> (~(c1_1 (a845))) -> (~(c0_1 (a845))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (c3_1 (a836)) -> (c0_1 (a836)) -> (~(hskp18)) -> False). % 0.89/1.07 do 0 intro. intros zenon_He1 zenon_H2e5 zenon_H2f7 zenon_H2f6 zenon_H2f5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_He2 zenon_H1cb zenon_H1ca zenon_Hdf. % 0.89/1.07 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hf. zenon_intro zenon_He3. % 0.89/1.07 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Hd6. zenon_intro zenon_He4. % 0.89/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hd7. zenon_intro zenon_Hd8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e6 ]. % 0.89/1.07 apply (zenon_L497_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H131 ]. % 0.89/1.07 apply (zenon_L457_); trivial. % 0.89/1.07 apply (zenon_L572_); trivial. % 0.89/1.07 (* end of lemma zenon_L617_ *) % 0.89/1.07 assert (zenon_L618_ : ((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (~(c1_1 (a836))) -> (c0_1 (a836)) -> (c3_1 (a836)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H2fe zenon_H12e zenon_H266 zenon_H20a zenon_H1c9 zenon_H1ca zenon_H1cb zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_He2 zenon_H2e5 zenon_He6. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.07 apply (zenon_L387_); trivial. % 0.89/1.07 apply (zenon_L617_); trivial. % 0.89/1.07 apply (zenon_L268_); trivial. % 0.89/1.07 (* end of lemma zenon_L618_ *) % 0.89/1.07 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a845))/\((~(c0_1 (a845)))/\(~(c1_1 (a845))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c0_1 (a828))) -> (c1_1 (a828)) -> (c2_1 (a828)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c2_1 (a833)) -> (c0_1 (a833)) -> (~(c3_1 (a833))) -> (c3_1 (a831)) -> (c2_1 (a831)) -> (~(c1_1 (a831))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(hskp2)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((hskp2)\/(hskp12))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H226 zenon_H305 zenon_H12e zenon_H1c7 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_He2 zenon_H2e5 zenon_He6 zenon_H266 zenon_H20c zenon_H20b zenon_H20a zenon_H27f zenon_H280 zenon_H281 zenon_H245 zenon_H244 zenon_H243 zenon_H7a zenon_H301. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_L561_); trivial. % 0.89/1.07 apply (zenon_L618_); trivial. % 0.89/1.07 (* end of lemma zenon_L619_ *) % 0.89/1.07 assert (zenon_L620_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> (~(c0_1 (a829))) -> (~(c1_1 (a829))) -> (~(c3_1 (a829))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H23f zenon_H1f8 zenon_H11b zenon_Hf4 zenon_H9d zenon_H40 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H2a9 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H2b3 zenon_H1e4 zenon_Hf9 zenon_H2be zenon_H2bd zenon_H2bf zenon_H15d zenon_H110 zenon_H190 zenon_H1aa. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L564_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f9 ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H131 | zenon_intro zenon_H11c ]. % 0.89/1.07 apply (zenon_L319_); trivial. % 0.89/1.07 exact (zenon_H11b zenon_H11c). % 0.89/1.07 (* end of lemma zenon_L620_ *) % 0.89/1.07 assert (zenon_L621_ : ((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H9c zenon_He6 zenon_He2 zenon_Hdf zenon_H266 zenon_H20a zenon_H37 zenon_H38 zenon_H39 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H108 zenon_H10a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.07 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcf | zenon_intro zenon_He1 ]. % 0.89/1.07 apply (zenon_L266_); trivial. % 0.89/1.07 apply (zenon_L56_); trivial. % 0.89/1.07 (* end of lemma zenon_L621_ *) % 0.89/1.07 assert (zenon_L622_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> (~(c2_1 (a841))) -> (c0_1 (a841)) -> (c1_1 (a841)) -> (~(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (ndr1_0) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H190 zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_Hf4 zenon_He6 zenon_He2 zenon_H266 zenon_H20a zenon_H37 zenon_H38 zenon_H39 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_H19f zenon_H1a0 zenon_H1a1 zenon_H108 zenon_H10a zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hf zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H1e4 zenon_H12e. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L563_); trivial. % 0.89/1.07 apply (zenon_L621_); trivial. % 0.89/1.07 apply (zenon_L268_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 (* end of lemma zenon_L622_ *) % 0.89/1.07 assert (zenon_L623_ : ((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> (~(c1_1 (a844))) -> (~(c2_1 (a844))) -> (c3_1 (a844)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c3_1 (a833))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> (c0_1 (a833)) -> (c2_1 (a833)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> (~(c3_1 (a832))) -> (~(c2_1 (a832))) -> (~(c1_1 (a832))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> (~(c1_1 (a830))) -> (~(c2_1 (a830))) -> (c0_1 (a830)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H194 zenon_H190 zenon_H110 zenon_H15d zenon_H15b zenon_H2bf zenon_H2bd zenon_H2be zenon_H37 zenon_H38 zenon_H39 zenon_Hf9 zenon_Hf4 zenon_H32 zenon_H12c zenon_H266 zenon_H20a zenon_Hb9 zenon_H20b zenon_H20c zenon_H1c7 zenon_H245 zenon_H244 zenon_H243 zenon_He2 zenon_He6 zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H299 zenon_H29a zenon_H29b zenon_H2b3 zenon_H1e4 zenon_H12e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L563_); trivial. % 0.89/1.07 apply (zenon_L376_); trivial. % 0.89/1.07 apply (zenon_L268_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 (* end of lemma zenon_L623_ *) % 0.89/1.07 assert (zenon_L624_ : ((ndr1_0)/\((c0_1 (a833))/\((c2_1 (a833))/\(~(c3_1 (a833)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a836))/\((c3_1 (a836))/\(~(c1_1 (a836))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp9)\/(hskp7))) -> (c0_1 (a830)) -> (~(c2_1 (a830))) -> (~(c1_1 (a830))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a861))/\((c2_1 (a861))/\(~(c1_1 (a861))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a857))/\((c2_1 (a857))/\(c3_1 (a857)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X46 : zenon_U, ((ndr1_0)->((~(c1_1 X46))\/((~(c2_1 X46))\/(~(c3_1 X46))))))\/(hskp18))) -> (~(c1_1 (a832))) -> (~(c2_1 (a832))) -> (~(c3_1 (a832))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c0_1 X54))\/(~(c3_1 X54))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp30))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c0_1 X64))\/(~(c3_1 X64))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp25))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c2_1 X56)\/(c3_1 X56)))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c0_1 X57))\/(~(c2_1 X57))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c3_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X40 : zenon_U, ((ndr1_0)->((~(c0_1 X40))\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a890))/\((~(c0_1 (a890)))/\(~(c3_1 (a890))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a863))/\((c3_1 (a863))/\(~(c2_1 (a863))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a859))/\((~(c1_1 (a859)))/\(~(c3_1 (a859))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a884))/\((c3_1 (a884))/\(~(c2_1 (a884))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp7))) -> (~(c3_1 (a829))) -> (~(c1_1 (a829))) -> (~(c0_1 (a829))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c3_1 X))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c0_1 X72))))))\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c0_1 X28))\/(~(c1_1 X28))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a828)) -> (c1_1 (a828)) -> (~(c0_1 (a828))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c2_1 X7)\/(~(c0_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c3_1 X30)\/((~(c0_1 X30))\/(~(c1_1 X30))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a866))/\((c1_1 (a866))/\(~(c3_1 (a866))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a853))/\((c3_1 (a853))/\(~(c0_1 (a853))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a844))/\((~(c1_1 (a844)))/\(~(c2_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a841))/\((c1_1 (a841))/\(~(c2_1 (a841))))))) -> False). % 0.89/1.07 do 0 intro. intros zenon_H27b zenon_H23f zenon_H2e5 zenon_H2a2 zenon_H29b zenon_H29a zenon_H299 zenon_H12e zenon_H2a9 zenon_He6 zenon_He2 zenon_H243 zenon_H244 zenon_H245 zenon_H1c7 zenon_Hb9 zenon_H266 zenon_H30 zenon_H32 zenon_Hf4 zenon_H190 zenon_H110 zenon_H15d zenon_H2bf zenon_H2bd zenon_H2be zenon_Hf9 zenon_H10a zenon_H2da zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H2b3 zenon_H1e4 zenon_H12c zenon_H199 zenon_H1aa zenon_H23d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L385_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L622_); trivial. % 0.89/1.07 apply (zenon_L623_); trivial. % 0.89/1.07 apply (zenon_L579_); trivial. % 0.89/1.07 (* end of lemma zenon_L624_ *) % 0.89/1.07 apply NNPP. intro zenon_G. % 0.89/1.07 apply zenon_G. zenon_intro zenon_H30b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H313. zenon_intro zenon_H312. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H315. zenon_intro zenon_H314. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H2bb. zenon_intro zenon_H316. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H23c. zenon_intro zenon_H317. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H23f. zenon_intro zenon_H318. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H2b7. zenon_intro zenon_H319. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H23d. zenon_intro zenon_H31a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H23e. zenon_intro zenon_H31b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1aa. zenon_intro zenon_H31c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H305. zenon_intro zenon_H31d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H198. zenon_intro zenon_H31e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H193. zenon_intro zenon_H31f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H199. zenon_intro zenon_H320. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H219. zenon_intro zenon_H321. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H190. zenon_intro zenon_H322. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H12e. zenon_intro zenon_H323. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_Hf4. zenon_intro zenon_H324. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H85. zenon_intro zenon_H325. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H327. zenon_intro zenon_H326. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1e4. zenon_intro zenon_H328. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H162. zenon_intro zenon_H329. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H110. zenon_intro zenon_H32a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32. zenon_intro zenon_H32b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H25e. zenon_intro zenon_H32e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H23. zenon_intro zenon_H32f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H82. zenon_intro zenon_H330. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_He6. zenon_intro zenon_H331. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H143. zenon_intro zenon_H332. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H297. zenon_intro zenon_H333. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H217. zenon_intro zenon_H334. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H224. zenon_intro zenon_H335. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H268. zenon_intro zenon_H336. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H205. zenon_intro zenon_H337. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H11e. zenon_intro zenon_H338. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H293. zenon_intro zenon_H339. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H15d. zenon_intro zenon_H33a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1f8. zenon_intro zenon_H33b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H2ce. zenon_intro zenon_H33c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H2e5. zenon_intro zenon_H341. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H343. zenon_intro zenon_H342. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H279. zenon_intro zenon_H344. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H306. zenon_intro zenon_H345. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H203. zenon_intro zenon_H346. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H56. zenon_intro zenon_H347. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H2ef. zenon_intro zenon_H348. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H10a. zenon_intro zenon_H349. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_Hc4. zenon_intro zenon_H34a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H155. zenon_intro zenon_H34b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H7d. zenon_intro zenon_H34c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Hd3. zenon_intro zenon_H34d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H163. zenon_intro zenon_H34e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H12c. zenon_intro zenon_H34f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H30. zenon_intro zenon_H350. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H48. zenon_intro zenon_H351. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H353. zenon_intro zenon_H352. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2eb. zenon_intro zenon_H354. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H2da. zenon_intro zenon_H355. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H303. zenon_intro zenon_H356. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H13e. zenon_intro zenon_H357. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H1bc. zenon_intro zenon_H358. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H301. zenon_intro zenon_H359. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H266. zenon_intro zenon_H35a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H2bc. zenon_intro zenon_H35b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H23a. zenon_intro zenon_H35c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H24c. zenon_intro zenon_H35d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H9d. zenon_intro zenon_H35e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H2b3. zenon_intro zenon_H35f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H2b5. zenon_intro zenon_H360. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H2a2. zenon_intro zenon_H361. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H2a9. zenon_intro zenon_H362. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Hf9. zenon_intro zenon_H363. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_Hae. zenon_intro zenon_H364. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H96. zenon_intro zenon_H365. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H42. zenon_intro zenon_H366. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H142. zenon_intro zenon_H367. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H171. zenon_intro zenon_H368. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H17a. zenon_intro zenon_H369. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Hf1. zenon_intro zenon_H36a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1c7. zenon_intro zenon_H36b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H1d6. zenon_intro zenon_H36c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H18d. zenon_intro zenon_H36d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H27e. zenon_intro zenon_H36e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H370. zenon_intro zenon_H36f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H372. zenon_intro zenon_H371. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H64. zenon_intro zenon_H373. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H1a8. zenon_intro zenon_H374. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H1be. zenon_intro zenon_H375. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_Hb9. zenon_intro zenon_H376. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_He2. zenon_intro zenon_H377. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H379. zenon_intro zenon_H378. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H37b. zenon_intro zenon_H37a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H215. zenon_intro zenon_H37c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H37e. zenon_intro zenon_H37d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H251. zenon_intro zenon_H37f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H1f. zenon_intro zenon_H380. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_Hd. zenon_intro zenon_H381. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H383. zenon_intro zenon_H382. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H7. zenon_intro zenon_H384. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H386. zenon_intro zenon_H385. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H388. zenon_intro zenon_H387. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H38a. zenon_intro zenon_H389. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H16f. zenon_intro zenon_H38b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H295 | zenon_intro zenon_H38c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H1c | zenon_intro zenon_H38d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H38e ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L17_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L34_); trivial. % 0.89/1.07 apply (zenon_L38_); trivial. % 0.89/1.07 apply (zenon_L41_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L50_); trivial. % 0.89/1.07 apply (zenon_L57_); trivial. % 0.89/1.07 apply (zenon_L63_); trivial. % 0.89/1.07 apply (zenon_L71_); trivial. % 0.89/1.07 apply (zenon_L74_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L78_); trivial. % 0.89/1.07 apply (zenon_L90_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L115_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L91_); trivial. % 0.89/1.07 apply (zenon_L119_); trivial. % 0.89/1.07 apply (zenon_L74_); trivial. % 0.89/1.07 apply (zenon_L122_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_L130_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L140_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L147_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L128_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L91_); trivial. % 0.89/1.07 apply (zenon_L155_); trivial. % 0.89/1.07 apply (zenon_L129_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_L164_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L166_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha4. zenon_intro zenon_Hb0. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha3. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.07 apply (zenon_L116_); trivial. % 0.89/1.07 apply (zenon_L171_); trivial. % 0.89/1.07 apply (zenon_L49_); trivial. % 0.89/1.07 apply (zenon_L57_); trivial. % 0.89/1.07 apply (zenon_L112_); trivial. % 0.89/1.07 apply (zenon_L176_); trivial. % 0.89/1.07 apply (zenon_L181_); trivial. % 0.89/1.07 apply (zenon_L182_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_L211_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.07 apply (zenon_L221_); trivial. % 0.89/1.07 apply (zenon_L136_); trivial. % 0.89/1.07 apply (zenon_L108_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.07 apply (zenon_L220_); trivial. % 0.89/1.07 apply (zenon_L222_); trivial. % 0.89/1.07 apply (zenon_L139_); trivial. % 0.89/1.07 apply (zenon_L243_); trivial. % 0.89/1.07 apply (zenon_L251_); trivial. % 0.89/1.07 apply (zenon_L252_); trivial. % 0.89/1.07 apply (zenon_L275_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L277_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_L211_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L283_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L128_); trivial. % 0.89/1.07 apply (zenon_L293_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L128_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L276_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L233_); trivial. % 0.89/1.07 apply (zenon_L298_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L238_); trivial. % 0.89/1.07 apply (zenon_L298_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_L301_); trivial. % 0.89/1.07 apply (zenon_L275_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Hf. zenon_intro zenon_H395. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H29b. zenon_intro zenon_H396. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H299. zenon_intro zenon_H29a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L17_); trivial. % 0.89/1.07 apply (zenon_L309_); trivial. % 0.89/1.07 apply (zenon_L313_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L17_); trivial. % 0.89/1.07 apply (zenon_L322_); trivial. % 0.89/1.07 apply (zenon_L323_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L17_); trivial. % 0.89/1.07 apply (zenon_L327_); trivial. % 0.89/1.07 apply (zenon_L328_); trivial. % 0.89/1.07 apply (zenon_L332_); trivial. % 0.89/1.07 apply (zenon_L352_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_L359_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L318_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L367_); trivial. % 0.89/1.07 apply (zenon_L368_); trivial. % 0.89/1.07 apply (zenon_L370_); trivial. % 0.89/1.07 apply (zenon_L371_); trivial. % 0.89/1.07 apply (zenon_L395_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_L396_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L310_); trivial. % 0.89/1.07 apply (zenon_L108_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L128_); trivial. % 0.89/1.07 apply (zenon_L399_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L310_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.07 apply (zenon_L160_); trivial. % 0.89/1.07 apply (zenon_L401_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e1 ]. % 0.89/1.07 apply (zenon_L160_); trivial. % 0.89/1.07 apply (zenon_L316_); trivial. % 0.89/1.07 apply (zenon_L403_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L406_); trivial. % 0.89/1.07 apply (zenon_L407_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_L301_); trivial. % 0.89/1.07 apply (zenon_L395_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_Hf. zenon_intro zenon_H397. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2be. zenon_intro zenon_H398. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2bd. zenon_intro zenon_H2bf. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H38e ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L416_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.89/1.07 apply (zenon_L7_); trivial. % 0.89/1.07 apply (zenon_L61_); trivial. % 0.89/1.07 apply (zenon_L23_); trivial. % 0.89/1.07 apply (zenon_L33_); trivial. % 0.89/1.07 apply (zenon_L417_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 apply (zenon_L421_); trivial. % 0.89/1.07 apply (zenon_L422_); trivial. % 0.89/1.07 apply (zenon_L423_); trivial. % 0.89/1.07 apply (zenon_L426_); trivial. % 0.89/1.07 apply (zenon_L438_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L441_); trivial. % 0.89/1.07 apply (zenon_L450_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L277_); trivial. % 0.89/1.07 apply (zenon_L438_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L276_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L440_); trivial. % 0.89/1.07 apply (zenon_L429_); trivial. % 0.89/1.07 apply (zenon_L301_); trivial. % 0.89/1.07 apply (zenon_L450_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Hf. zenon_intro zenon_H395. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H29b. zenon_intro zenon_H396. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H299. zenon_intro zenon_H29a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_L422_); trivial. % 0.89/1.07 apply (zenon_L423_); trivial. % 0.89/1.07 apply (zenon_L352_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L441_); trivial. % 0.89/1.07 apply (zenon_L395_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_L396_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L456_); trivial. % 0.89/1.07 apply (zenon_L395_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_Hf. zenon_intro zenon_H399. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H2d2. zenon_intro zenon_H39a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H2d3. zenon_intro zenon_H2d1. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H1c | zenon_intro zenon_H38d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H38e ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L17_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L468_); trivial. % 0.89/1.07 apply (zenon_L38_); trivial. % 0.89/1.07 apply (zenon_L471_); trivial. % 0.89/1.07 apply (zenon_L41_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L474_); trivial. % 0.89/1.07 apply (zenon_L71_); trivial. % 0.89/1.07 apply (zenon_L74_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_L474_); trivial. % 0.89/1.07 apply (zenon_L90_); trivial. % 0.89/1.07 apply (zenon_L186_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L115_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L476_); trivial. % 0.89/1.07 apply (zenon_L74_); trivial. % 0.89/1.07 apply (zenon_L122_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hb | zenon_intro zenon_H221 ]. % 0.89/1.07 apply (zenon_L486_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_Hf. zenon_intro zenon_H222. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H164. zenon_intro zenon_H223. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L491_); trivial. % 0.89/1.07 apply (zenon_L114_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_Hc8. zenon_intro zenon_H19e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L493_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_L128_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H124. zenon_intro zenon_H196. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L476_); trivial. % 0.89/1.07 apply (zenon_L496_); trivial. % 0.89/1.07 apply (zenon_L500_); trivial. % 0.89/1.07 apply (zenon_L501_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_L164_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_Hf. zenon_intro zenon_H2b9. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H1e7. zenon_intro zenon_H2ba. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_L503_); trivial. % 0.89/1.07 apply (zenon_L181_); trivial. % 0.89/1.07 apply (zenon_L182_); trivial. % 0.89/1.07 apply (zenon_L510_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L514_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.07 apply (zenon_L512_); trivial. % 0.89/1.07 apply (zenon_L467_); trivial. % 0.89/1.07 apply (zenon_L108_); trivial. % 0.89/1.07 apply (zenon_L518_); trivial. % 0.89/1.07 apply (zenon_L521_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hf. zenon_intro zenon_H2ff. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2f7. zenon_intro zenon_H300. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f5. zenon_intro zenon_H2f6. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L523_); trivial. % 0.89/1.07 apply (zenon_L521_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L530_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H108 | zenon_intro zenon_H194 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L468_); trivial. % 0.89/1.07 apply (zenon_L527_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hf. zenon_intro zenon_Hf5. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He9. zenon_intro zenon_Hf6. % 0.89/1.07 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hea. zenon_intro zenon_He8. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L533_); trivial. % 0.89/1.07 apply (zenon_L527_); trivial. % 0.89/1.07 apply (zenon_L41_); trivial. % 0.89/1.07 apply (zenon_L529_); trivial. % 0.89/1.07 apply (zenon_L538_); trivial. % 0.89/1.07 apply (zenon_L541_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_L164_); trivial. % 0.89/1.07 apply (zenon_L547_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L185_); trivial. % 0.89/1.07 apply (zenon_L242_); trivial. % 0.89/1.07 apply (zenon_L550_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L277_); trivial. % 0.89/1.07 apply (zenon_L510_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H11d ]. % 0.89/1.07 apply (zenon_L276_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H112. zenon_intro zenon_H120. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H13b | zenon_intro zenon_H15f ]. % 0.89/1.07 apply (zenon_L552_); trivial. % 0.89/1.07 apply (zenon_L229_); trivial. % 0.89/1.07 apply (zenon_L553_); trivial. % 0.89/1.07 apply (zenon_L555_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_L555_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_L557_); trivial. % 0.89/1.07 apply (zenon_L560_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_L561_); trivial. % 0.89/1.07 apply (zenon_L562_); trivial. % 0.89/1.07 apply (zenon_L550_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Hf. zenon_intro zenon_H395. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H29b. zenon_intro zenon_H396. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H299. zenon_intro zenon_H29a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L565_); trivial. % 0.89/1.07 apply (zenon_L485_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L565_); trivial. % 0.89/1.07 apply (zenon_L567_); trivial. % 0.89/1.07 apply (zenon_L352_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L565_); trivial. % 0.89/1.07 apply (zenon_L570_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L312_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_L577_); trivial. % 0.89/1.07 apply (zenon_L580_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_L396_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L563_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Hf. zenon_intro zenon_H9e. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8a. zenon_intro zenon_H9f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H1a | zenon_intro zenon_H33 ]. % 0.89/1.07 apply (zenon_L107_); trivial. % 0.89/1.07 apply (zenon_L397_); trivial. % 0.89/1.07 apply (zenon_L581_); trivial. % 0.89/1.07 apply (zenon_L591_); trivial. % 0.89/1.07 apply (zenon_L592_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L157_); trivial. % 0.89/1.07 apply (zenon_L594_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L303_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L556_); trivial. % 0.89/1.07 apply (zenon_L591_); trivial. % 0.89/1.07 apply (zenon_L592_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2fe ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_H19c ]. % 0.89/1.07 apply (zenon_L556_); trivial. % 0.89/1.07 apply (zenon_L594_); trivial. % 0.89/1.07 apply (zenon_L595_); trivial. % 0.89/1.07 apply (zenon_L294_); trivial. % 0.89/1.07 apply (zenon_L580_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_Hf. zenon_intro zenon_H397. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2be. zenon_intro zenon_H398. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2bd. zenon_intro zenon_H2bf. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H7a | zenon_intro zenon_H38e ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L416_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_L468_); trivial. % 0.89/1.07 apply (zenon_L417_); trivial. % 0.89/1.07 apply (zenon_L596_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 apply (zenon_L422_); trivial. % 0.89/1.07 apply (zenon_L423_); trivial. % 0.89/1.07 apply (zenon_L426_); trivial. % 0.89/1.07 apply (zenon_L600_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L441_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_L606_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Hf. zenon_intro zenon_H227. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ca. zenon_intro zenon_H228. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1cb. zenon_intro zenon_H1c9. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2b8 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L445_); trivial. % 0.89/1.07 apply (zenon_L578_); trivial. % 0.89/1.07 apply (zenon_L607_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H213 | zenon_intro zenon_H240 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_L416_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H19a. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H39. zenon_intro zenon_H19b. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.89/1.07 apply (zenon_L4_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H191. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H5a. zenon_intro zenon_H192. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H62 | zenon_intro zenon_Had ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hf3 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H46 | zenon_intro zenon_H81 ]. % 0.89/1.07 apply (zenon_L465_); trivial. % 0.89/1.07 apply (zenon_L609_); trivial. % 0.89/1.07 apply (zenon_L414_); trivial. % 0.89/1.07 apply (zenon_L610_); trivial. % 0.89/1.07 apply (zenon_L419_); trivial. % 0.89/1.07 apply (zenon_L422_); trivial. % 0.89/1.07 apply (zenon_L455_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_Hf. zenon_intro zenon_H241. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H229. zenon_intro zenon_H242. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H22a. zenon_intro zenon_H22b. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L424_); trivial. % 0.89/1.07 apply (zenon_L613_); trivial. % 0.89/1.07 apply (zenon_L455_); trivial. % 0.89/1.07 apply (zenon_L600_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.89/1.07 apply (zenon_L213_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_Hf. zenon_intro zenon_H208. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a0. zenon_intro zenon_H209. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H19f. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H2e | zenon_intro zenon_H197 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H44 | zenon_intro zenon_H9c ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12f | zenon_intro zenon_H13d ]. % 0.89/1.07 apply (zenon_L214_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H13f. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H147 | zenon_intro zenon_H15e ]. % 0.89/1.07 apply (zenon_L413_); trivial. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H87 | zenon_intro zenon_H15c ]. % 0.89/1.07 apply (zenon_L616_); trivial. % 0.89/1.07 exact (zenon_H15b zenon_H15c). % 0.89/1.07 apply (zenon_L453_); trivial. % 0.89/1.07 apply (zenon_L612_); trivial. % 0.89/1.07 apply (zenon_L455_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_Hf. zenon_intro zenon_H27c. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H20b. zenon_intro zenon_H27d. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H15b | zenon_intro zenon_H226 ]. % 0.89/1.07 apply (zenon_L606_); trivial. % 0.89/1.07 apply (zenon_L619_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_Hf. zenon_intro zenon_H395. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H29b. zenon_intro zenon_H396. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H299. zenon_intro zenon_H29a. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H40 | zenon_intro zenon_H38f ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L620_); trivial. % 0.89/1.07 apply (zenon_L352_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L620_); trivial. % 0.89/1.07 apply (zenon_L624_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_Hf. zenon_intro zenon_H393. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H280. zenon_intro zenon_H394. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27f. zenon_intro zenon_H281. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H5 | zenon_intro zenon_H390 ]. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L456_); trivial. % 0.89/1.07 apply (zenon_L352_); trivial. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_Hf. zenon_intro zenon_H391. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H243. zenon_intro zenon_H392. % 0.89/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H244. zenon_intro zenon_H245. % 0.89/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H11b | zenon_intro zenon_H27b ]. % 0.89/1.07 apply (zenon_L456_); trivial. % 0.89/1.07 apply (zenon_L624_); trivial. % 0.89/1.07 Qed. % 0.89/1.07 % SZS output end Proof % 0.89/1.07 (* END-PROOF *) % 0.89/1.07 nodes searched: 30806 % 0.89/1.07 max branch formulas: 461 % 0.89/1.07 proof nodes created: 4055 % 0.89/1.07 formulas created: 32025 % 0.89/1.07 %------------------------------------------------------------------------------