%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN474+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 13:53:17 EDT 2022 % Result : Theorem 0.92s 1.10s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN474+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 19:57:36 EDT 2022 % 0.12/0.33 % CPUTime : % 0.92/1.10 (* PROOF-FOUND *) % 0.92/1.10 % SZS status Theorem % 0.92/1.10 (* BEGIN-PROOF *) % 0.92/1.10 % SZS output start Proof % 0.92/1.10 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a898))/\((c1_1 (a898))/\(~(c2_1 (a898)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a899))/\((c2_1 (a899))/\(~(c0_1 (a899)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a901)))/\((~(c2_1 (a901)))/\(~(c3_1 (a901)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a903))/\((c2_1 (a903))/\(~(c3_1 (a903)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a904))/\((~(c1_1 (a904)))/\(~(c3_1 (a904)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a905))/\((c3_1 (a905))/\(~(c0_1 (a905)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))))/\(((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a930))/\((~(c0_1 (a930)))/\(~(c1_1 (a930)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))))/\(((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a919))/\((c1_1 (a919))/\(c2_1 (a919))))))/\(((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp12)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp30)\/(hskp1)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp18)\/(hskp19)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp12)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18)))/\(((forall X75 : zenon_U, ((ndr1_0)->((c1_1 X75)\/((c3_1 X75)\/(~(c0_1 X75))))))\/((hskp18)\/(hskp12)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((hskp16)\/(hskp10)))/\(((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2)))/\(((hskp29)\/((hskp31)\/(hskp27)))/\(((hskp0)\/((hskp12)\/(hskp9)))/\(((hskp0)\/((hskp21)\/(hskp25)))/\(((hskp15)\/((hskp22)\/(hskp19)))/\(((hskp28)\/((hskp22)\/(hskp17)))/\(((hskp3)\/((hskp24)\/(hskp25)))/\(((hskp23)\/((hskp26)\/(hskp22)))/\((hskp27)\/((hskp7)\/(hskp9))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.92/1.10 Proof. % 0.92/1.10 assert (zenon_L1_ : (~(hskp3)) -> (hskp3) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1 zenon_H2. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 (* end of lemma zenon_L1_ *) % 0.92/1.10 assert (zenon_L2_ : (~(hskp24)) -> (hskp24) -> False). % 0.92/1.10 do 0 intro. intros zenon_H3 zenon_H4. % 0.92/1.10 exact (zenon_H3 zenon_H4). % 0.92/1.10 (* end of lemma zenon_L2_ *) % 0.92/1.10 assert (zenon_L3_ : (~(hskp25)) -> (hskp25) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5 zenon_H6. % 0.92/1.10 exact (zenon_H5 zenon_H6). % 0.92/1.10 (* end of lemma zenon_L3_ *) % 0.92/1.10 assert (zenon_L4_ : ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> (~(hskp24)) -> (~(hskp25)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.92/1.10 exact (zenon_H3 zenon_H4). % 0.92/1.10 exact (zenon_H5 zenon_H6). % 0.92/1.10 (* end of lemma zenon_L4_ *) % 0.92/1.10 assert (zenon_L5_ : (~(hskp27)) -> (hskp27) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9 zenon_Ha. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 (* end of lemma zenon_L5_ *) % 0.92/1.10 assert (zenon_L6_ : (~(hskp7)) -> (hskp7) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hb zenon_Hc. % 0.92/1.10 exact (zenon_Hb zenon_Hc). % 0.92/1.10 (* end of lemma zenon_L6_ *) % 0.92/1.10 assert (zenon_L7_ : (~(hskp9)) -> (hskp9) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hd zenon_He. % 0.92/1.10 exact (zenon_Hd zenon_He). % 0.92/1.10 (* end of lemma zenon_L7_ *) % 0.92/1.10 assert (zenon_L8_ : ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp27)) -> (~(hskp7)) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.92/1.10 exact (zenon_Hb zenon_Hc). % 0.92/1.10 exact (zenon_Hd zenon_He). % 0.92/1.10 (* end of lemma zenon_L8_ *) % 0.92/1.10 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11 zenon_H12. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 (* end of lemma zenon_L9_ *) % 0.92/1.10 assert (zenon_L10_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a978))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a978)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.92/1.10 generalize (zenon_H13 (a978)). zenon_intro zenon_H17. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.92/1.10 exact (zenon_H14 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.92/1.10 generalize (zenon_H15 (a978)). zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H1a | zenon_intro zenon_H1f ]. % 0.92/1.10 exact (zenon_H14 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H20 | zenon_intro zenon_H1b ]. % 0.92/1.10 exact (zenon_H1c zenon_H20). % 0.92/1.10 exact (zenon_H1b zenon_H16). % 0.92/1.10 exact (zenon_H1b zenon_H16). % 0.92/1.10 (* end of lemma zenon_L10_ *) % 0.92/1.10 assert (zenon_L11_ : (~(hskp12)) -> (hskp12) -> False). % 0.92/1.10 do 0 intro. intros zenon_H21 zenon_H22. % 0.92/1.10 exact (zenon_H21 zenon_H22). % 0.92/1.10 (* end of lemma zenon_L11_ *) % 0.92/1.10 assert (zenon_L12_ : (~(hskp10)) -> (hskp10) -> False). % 0.92/1.10 do 0 intro. intros zenon_H23 zenon_H24. % 0.92/1.10 exact (zenon_H23 zenon_H24). % 0.92/1.10 (* end of lemma zenon_L12_ *) % 0.92/1.10 assert (zenon_L13_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a978)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a978))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H25 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H21 zenon_H23. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H13 | zenon_intro zenon_H26 ]. % 0.92/1.10 apply (zenon_L10_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H22 | zenon_intro zenon_H24 ]. % 0.92/1.10 exact (zenon_H21 zenon_H22). % 0.92/1.10 exact (zenon_H23 zenon_H24). % 0.92/1.10 (* end of lemma zenon_L13_ *) % 0.92/1.10 assert (zenon_L14_ : (~(hskp5)) -> (hskp5) -> False). % 0.92/1.10 do 0 intro. intros zenon_H27 zenon_H28. % 0.92/1.10 exact (zenon_H27 zenon_H28). % 0.92/1.10 (* end of lemma zenon_L14_ *) % 0.92/1.10 assert (zenon_L15_ : (~(hskp6)) -> (hskp6) -> False). % 0.92/1.10 do 0 intro. intros zenon_H29 zenon_H2a. % 0.92/1.10 exact (zenon_H29 zenon_H2a). % 0.92/1.10 (* end of lemma zenon_L15_ *) % 0.92/1.10 assert (zenon_L16_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2b zenon_H2c zenon_H23 zenon_H21 zenon_H25 zenon_H27 zenon_H29. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H15 | zenon_intro zenon_H30 ]. % 0.92/1.10 apply (zenon_L13_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.92/1.10 exact (zenon_H27 zenon_H28). % 0.92/1.10 exact (zenon_H29 zenon_H2a). % 0.92/1.10 (* end of lemma zenon_L16_ *) % 0.92/1.10 assert (zenon_L17_ : (~(hskp23)) -> (hskp23) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H32. % 0.92/1.10 exact (zenon_H31 zenon_H32). % 0.92/1.10 (* end of lemma zenon_L17_ *) % 0.92/1.10 assert (zenon_L18_ : (~(hskp26)) -> (hskp26) -> False). % 0.92/1.10 do 0 intro. intros zenon_H33 zenon_H34. % 0.92/1.10 exact (zenon_H33 zenon_H34). % 0.92/1.10 (* end of lemma zenon_L18_ *) % 0.92/1.10 assert (zenon_L19_ : (~(hskp22)) -> (hskp22) -> False). % 0.92/1.10 do 0 intro. intros zenon_H35 zenon_H36. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L19_ *) % 0.92/1.10 assert (zenon_L20_ : ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp23)) -> (~(hskp26)) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H37 zenon_H31 zenon_H33 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H32 | zenon_intro zenon_H38 ]. % 0.92/1.10 exact (zenon_H31 zenon_H32). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ]. % 0.92/1.10 exact (zenon_H33 zenon_H34). % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L20_ *) % 0.92/1.10 assert (zenon_L21_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a969))) -> (~(c2_1 (a969))) -> (c0_1 (a969)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H39 zenon_H12 zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.10 generalize (zenon_H39 (a969)). zenon_intro zenon_H3d. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H11 | zenon_intro zenon_H3e ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.92/1.10 exact (zenon_H3a zenon_H40). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.92/1.10 exact (zenon_H3b zenon_H42). % 0.92/1.10 exact (zenon_H41 zenon_H3c). % 0.92/1.10 (* end of lemma zenon_L21_ *) % 0.92/1.10 assert (zenon_L22_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (~(c0_1 (a978))) -> (c2_1 (a978)) -> (c3_1 (a978)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H43 zenon_H12 zenon_H44 zenon_H14 zenon_H2f zenon_H16. % 0.92/1.10 generalize (zenon_H43 (a978)). zenon_intro zenon_H45. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H11 | zenon_intro zenon_H46 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H20 | zenon_intro zenon_H47 ]. % 0.92/1.10 generalize (zenon_H44 (a978)). zenon_intro zenon_H48. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H49 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1a | zenon_intro zenon_H4a ]. % 0.92/1.10 exact (zenon_H14 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H1c | zenon_intro zenon_H4b ]. % 0.92/1.10 exact (zenon_H1c zenon_H20). % 0.92/1.10 exact (zenon_H4b zenon_H2f). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b ]. % 0.92/1.10 exact (zenon_H4b zenon_H2f). % 0.92/1.10 exact (zenon_H1b zenon_H16). % 0.92/1.10 (* end of lemma zenon_L22_ *) % 0.92/1.10 assert (zenon_L23_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c2_1 (a913)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H4c zenon_H12 zenon_H4d zenon_H4e zenon_H4f. % 0.92/1.10 generalize (zenon_H4c (a913)). zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H11 | zenon_intro zenon_H51 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.92/1.10 exact (zenon_H4d zenon_H53). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.92/1.10 exact (zenon_H4e zenon_H55). % 0.92/1.10 exact (zenon_H54 zenon_H4f). % 0.92/1.10 (* end of lemma zenon_L23_ *) % 0.92/1.10 assert (zenon_L24_ : (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H56 zenon_H12 zenon_H4c zenon_H4d zenon_H4e zenon_H57. % 0.92/1.10 generalize (zenon_H56 (a913)). zenon_intro zenon_H58. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H11 | zenon_intro zenon_H59 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H4f | zenon_intro zenon_H5a ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H55 | zenon_intro zenon_H5b ]. % 0.92/1.10 exact (zenon_H4e zenon_H55). % 0.92/1.10 exact (zenon_H5b zenon_H57). % 0.92/1.10 (* end of lemma zenon_L24_ *) % 0.92/1.10 assert (zenon_L25_ : (~(hskp29)) -> (hskp29) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5c zenon_H5d. % 0.92/1.10 exact (zenon_H5c zenon_H5d). % 0.92/1.10 (* end of lemma zenon_L25_ *) % 0.92/1.10 assert (zenon_L26_ : (~(hskp15)) -> (hskp15) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5e zenon_H5f. % 0.92/1.10 exact (zenon_H5e zenon_H5f). % 0.92/1.10 (* end of lemma zenon_L26_ *) % 0.92/1.10 assert (zenon_L27_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H56 zenon_H5c zenon_H5e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H4c | zenon_intro zenon_H61 ]. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5d | zenon_intro zenon_H5f ]. % 0.92/1.10 exact (zenon_H5c zenon_H5d). % 0.92/1.10 exact (zenon_H5e zenon_H5f). % 0.92/1.10 (* end of lemma zenon_L27_ *) % 0.92/1.10 assert (zenon_L28_ : (~(hskp14)) -> (hskp14) -> False). % 0.92/1.10 do 0 intro. intros zenon_H62 zenon_H63. % 0.92/1.10 exact (zenon_H62 zenon_H63). % 0.92/1.10 (* end of lemma zenon_L28_ *) % 0.92/1.10 assert (zenon_L29_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a911)) -> (c1_1 (a911)) -> (c3_1 (a911)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H64 zenon_H12 zenon_H65 zenon_H66 zenon_H67. % 0.92/1.10 generalize (zenon_H64 (a911)). zenon_intro zenon_H68. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H11 | zenon_intro zenon_H69 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.92/1.10 exact (zenon_H6b zenon_H65). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.92/1.10 exact (zenon_H6d zenon_H66). % 0.92/1.10 exact (zenon_H6c zenon_H67). % 0.92/1.10 (* end of lemma zenon_L29_ *) % 0.92/1.10 assert (zenon_L30_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c3_1 (a978)) -> (c2_1 (a978)) -> (~(c0_1 (a978))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a911)) -> (c1_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H6e zenon_H16 zenon_H2f zenon_H14 zenon_H43 zenon_H67 zenon_H66 zenon_H65 zenon_H12 zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H44 | zenon_intro zenon_H6f ]. % 0.92/1.10 apply (zenon_L22_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H64 | zenon_intro zenon_He ]. % 0.92/1.10 apply (zenon_L29_); trivial. % 0.92/1.10 exact (zenon_Hd zenon_He). % 0.92/1.10 (* end of lemma zenon_L30_ *) % 0.92/1.10 assert (zenon_L31_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (~(hskp9)) -> (~(c0_1 (a978))) -> (c2_1 (a978)) -> (c3_1 (a978)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H70 zenon_H71 zenon_H3c zenon_H3b zenon_H3a zenon_Hd zenon_H14 zenon_H2f zenon_H16 zenon_H6e zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L31_ *) % 0.92/1.10 assert (zenon_L32_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2b zenon_H75 zenon_Hd zenon_H6e zenon_H71 zenon_H35 zenon_H3c zenon_H3b zenon_H3a zenon_H60 zenon_H5e zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L22_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.92/1.10 apply (zenon_L27_); trivial. % 0.92/1.10 exact (zenon_H62 zenon_H63). % 0.92/1.10 apply (zenon_L31_); trivial. % 0.92/1.10 (* end of lemma zenon_L32_ *) % 0.92/1.10 assert (zenon_L33_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H39 zenon_H12 zenon_H78 zenon_H79 zenon_H7a zenon_H7b. % 0.92/1.10 generalize (zenon_H39 (a950)). zenon_intro zenon_H7c. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H11 | zenon_intro zenon_H7d ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.92/1.10 generalize (zenon_H78 (a950)). zenon_intro zenon_H80. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H80); [ zenon_intro zenon_H11 | zenon_intro zenon_H81 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ]. % 0.92/1.10 exact (zenon_H79 zenon_H83). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.92/1.10 exact (zenon_H85 zenon_H7f). % 0.92/1.10 exact (zenon_H84 zenon_H7a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H83 | zenon_intro zenon_H86 ]. % 0.92/1.10 exact (zenon_H79 zenon_H83). % 0.92/1.10 exact (zenon_H86 zenon_H7b). % 0.92/1.10 (* end of lemma zenon_L33_ *) % 0.92/1.10 assert (zenon_L34_ : (~(hskp1)) -> (hskp1) -> False). % 0.92/1.10 do 0 intro. intros zenon_H87 zenon_H88. % 0.92/1.10 exact (zenon_H87 zenon_H88). % 0.92/1.10 (* end of lemma zenon_L34_ *) % 0.92/1.10 assert (zenon_L35_ : (~(hskp13)) -> (hskp13) -> False). % 0.92/1.10 do 0 intro. intros zenon_H89 zenon_H8a. % 0.92/1.10 exact (zenon_H89 zenon_H8a). % 0.92/1.10 (* end of lemma zenon_L35_ *) % 0.92/1.10 assert (zenon_L36_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (~(hskp1)) -> (~(hskp13)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8b zenon_H7b zenon_H7a zenon_H79 zenon_H12 zenon_H39 zenon_H87 zenon_H89. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 0.92/1.10 apply (zenon_L33_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 0.92/1.10 exact (zenon_H87 zenon_H88). % 0.92/1.10 exact (zenon_H89 zenon_H8a). % 0.92/1.10 (* end of lemma zenon_L36_ *) % 0.92/1.10 assert (zenon_L37_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a950))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8d zenon_H12 zenon_H79 zenon_H7b zenon_H7a. % 0.92/1.10 generalize (zenon_H8d (a950)). zenon_intro zenon_H8e. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_H11 | zenon_intro zenon_H8f ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H83 | zenon_intro zenon_H90 ]. % 0.92/1.10 exact (zenon_H79 zenon_H83). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H86 | zenon_intro zenon_H84 ]. % 0.92/1.10 exact (zenon_H86 zenon_H7b). % 0.92/1.10 exact (zenon_H84 zenon_H7a). % 0.92/1.10 (* end of lemma zenon_L37_ *) % 0.92/1.10 assert (zenon_L38_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H91 zenon_H89 zenon_H87 zenon_H8b zenon_H7a zenon_H7b zenon_H79 zenon_H12 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.10 apply (zenon_L36_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L37_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L38_ *) % 0.92/1.10 assert (zenon_L39_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H93 zenon_H91 zenon_H89 zenon_H87 zenon_H8b zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_L38_); trivial. % 0.92/1.10 (* end of lemma zenon_L39_ *) % 0.92/1.10 assert (zenon_L40_ : (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H96 zenon_H12 zenon_H97 zenon_H98 zenon_H99. % 0.92/1.10 generalize (zenon_H96 (a939)). zenon_intro zenon_H9a. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H9a); [ zenon_intro zenon_H11 | zenon_intro zenon_H9b ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.92/1.10 exact (zenon_H97 zenon_H9d). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 0.92/1.10 exact (zenon_H98 zenon_H9f). % 0.92/1.10 exact (zenon_H9e zenon_H99). % 0.92/1.10 (* end of lemma zenon_L40_ *) % 0.92/1.10 assert (zenon_L41_ : (~(hskp4)) -> (hskp4) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha0 zenon_Ha1. % 0.92/1.10 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.10 (* end of lemma zenon_L41_ *) % 0.92/1.10 assert (zenon_L42_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp7)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha2 zenon_H99 zenon_H98 zenon_H97 zenon_H12 zenon_Ha0 zenon_Hb. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha3 ]. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hc ]. % 0.92/1.10 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.10 exact (zenon_Hb zenon_Hc). % 0.92/1.10 (* end of lemma zenon_L42_ *) % 0.92/1.10 assert (zenon_L43_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> (~(hskp7)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_Ha2 zenon_Ha0 zenon_Hb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.10 apply (zenon_L42_); trivial. % 0.92/1.10 (* end of lemma zenon_L43_ *) % 0.92/1.10 assert (zenon_L44_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a978)) -> (c2_1 (a978)) -> (~(c0_1 (a978))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha7 zenon_H3c zenon_H3b zenon_H3a zenon_H16 zenon_H2f zenon_H14 zenon_Ha8 zenon_H12 zenon_H87. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.10 generalize (zenon_Haa (a978)). zenon_intro zenon_Hab. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H11 | zenon_intro zenon_Hac ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H1c | zenon_intro zenon_H47 ]. % 0.92/1.10 generalize (zenon_Ha8 (a978)). zenon_intro zenon_Had. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_H11 | zenon_intro zenon_Hae ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1a | zenon_intro zenon_Haf ]. % 0.92/1.10 exact (zenon_H14 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H20 | zenon_intro zenon_H4b ]. % 0.92/1.10 exact (zenon_H1c zenon_H20). % 0.92/1.10 exact (zenon_H4b zenon_H2f). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b ]. % 0.92/1.10 exact (zenon_H4b zenon_H2f). % 0.92/1.10 exact (zenon_H1b zenon_H16). % 0.92/1.10 exact (zenon_H87 zenon_H88). % 0.92/1.10 (* end of lemma zenon_L44_ *) % 0.92/1.10 assert (zenon_L45_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3. % 0.92/1.10 generalize (zenon_Hb0 (a921)). zenon_intro zenon_Hb4. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hb4); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb5 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 0.92/1.10 exact (zenon_Hb1 zenon_Hb7). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.92/1.10 exact (zenon_Hb9 zenon_Hb2). % 0.92/1.10 exact (zenon_Hb8 zenon_Hb3). % 0.92/1.10 (* end of lemma zenon_L45_ *) % 0.92/1.10 assert (zenon_L46_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> (~(c1_1 (a969))) -> (~(c2_1 (a969))) -> (c0_1 (a969)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp1)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2b zenon_Hba zenon_H3a zenon_H3b zenon_H3c zenon_Ha7 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H87. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hbb ]. % 0.92/1.10 apply (zenon_L44_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L45_); trivial. % 0.92/1.10 exact (zenon_H87 zenon_H88). % 0.92/1.10 (* end of lemma zenon_L46_ *) % 0.92/1.10 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp1)) -> (~(hskp5)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H93 zenon_Hbc zenon_H87 zenon_H27. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L37_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H88 | zenon_intro zenon_H28 ]. % 0.92/1.10 exact (zenon_H87 zenon_H88). % 0.92/1.10 exact (zenon_H27 zenon_H28). % 0.92/1.10 (* end of lemma zenon_L47_ *) % 0.92/1.10 assert (zenon_L48_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H37 zenon_H35 zenon_Hf zenon_Hd zenon_Hb zenon_Ha7 zenon_H87 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_Hbf zenon_Hc0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_L20_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.10 apply (zenon_L8_); trivial. % 0.92/1.10 apply (zenon_L46_); trivial. % 0.92/1.10 apply (zenon_L47_); trivial. % 0.92/1.10 (* end of lemma zenon_L48_ *) % 0.92/1.10 assert (zenon_L49_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_Hbf zenon_Hba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H87 zenon_Ha7 zenon_Hb zenon_Hd zenon_Hf zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L48_); trivial. % 0.92/1.10 apply (zenon_L43_); trivial. % 0.92/1.10 (* end of lemma zenon_L49_ *) % 0.92/1.10 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc5 zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_Hbf zenon_Hba zenon_H87 zenon_Ha7 zenon_Hb zenon_Hd zenon_Hf zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.10 apply (zenon_L49_); trivial. % 0.92/1.10 (* end of lemma zenon_L50_ *) % 0.92/1.10 assert (zenon_L51_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8d zenon_H12 zenon_H43 zenon_Hc8 zenon_Hc9 zenon_Hca. % 0.92/1.10 generalize (zenon_H8d (a918)). zenon_intro zenon_Hcb. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hcc ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.92/1.10 generalize (zenon_H43 (a918)). zenon_intro zenon_Hcf. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd0 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.92/1.10 exact (zenon_Hc8 zenon_Hd2). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 exact (zenon_Hd4 zenon_Hce). % 0.92/1.10 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 exact (zenon_Hd5 zenon_Hca). % 0.92/1.10 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.10 (* end of lemma zenon_L51_ *) % 0.92/1.10 assert (zenon_L52_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L51_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L52_ *) % 0.92/1.10 assert (zenon_L53_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H31 zenon_H35 zenon_H37. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_L20_); trivial. % 0.92/1.10 apply (zenon_L52_); trivial. % 0.92/1.10 (* end of lemma zenon_L53_ *) % 0.92/1.10 assert (zenon_L54_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H91 zenon_H89 zenon_H87 zenon_H79 zenon_H7a zenon_H7b zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H43 zenon_H12 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.10 apply (zenon_L36_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L51_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L54_ *) % 0.92/1.10 assert (zenon_L55_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H93 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_H87 zenon_H89 zenon_H91 zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.10 apply (zenon_L36_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L54_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L55_ *) % 0.92/1.10 assert (zenon_L56_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbe zenon_H87 zenon_H89 zenon_H8b zenon_H37 zenon_H35 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.10 apply (zenon_L53_); trivial. % 0.92/1.10 apply (zenon_L55_); trivial. % 0.92/1.10 (* end of lemma zenon_L56_ *) % 0.92/1.10 assert (zenon_L57_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hd6 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_Hbe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L56_); trivial. % 0.92/1.10 apply (zenon_L43_); trivial. % 0.92/1.10 (* end of lemma zenon_L57_ *) % 0.92/1.10 assert (zenon_L58_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hd9 zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_Hbf zenon_H75 zenon_H6e zenon_H71 zenon_H60 zenon_H57 zenon_H4e zenon_H4d zenon_H76 zenon_Hb zenon_Hd zenon_Hf zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_Hbc zenon_H27 zenon_Ha7 zenon_Hba zenon_Hda. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_L20_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.10 apply (zenon_L8_); trivial. % 0.92/1.10 apply (zenon_L32_); trivial. % 0.92/1.10 apply (zenon_L39_); trivial. % 0.92/1.10 apply (zenon_L43_); trivial. % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 (* end of lemma zenon_L58_ *) % 0.92/1.10 assert (zenon_L59_ : (~(hskp0)) -> (hskp0) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hdb zenon_Hdc. % 0.92/1.10 exact (zenon_Hdb zenon_Hdc). % 0.92/1.10 (* end of lemma zenon_L59_ *) % 0.92/1.10 assert (zenon_L60_ : (~(hskp21)) -> (hskp21) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hdd zenon_Hde. % 0.92/1.10 exact (zenon_Hdd zenon_Hde). % 0.92/1.10 (* end of lemma zenon_L60_ *) % 0.92/1.10 assert (zenon_L61_ : ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> (~(hskp21)) -> (~(hskp25)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hdf zenon_Hdb zenon_Hdd zenon_H5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 0.92/1.10 exact (zenon_Hdb zenon_Hdc). % 0.92/1.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hde | zenon_intro zenon_H6 ]. % 0.92/1.10 exact (zenon_Hdd zenon_Hde). % 0.92/1.10 exact (zenon_H5 zenon_H6). % 0.92/1.10 (* end of lemma zenon_L61_ *) % 0.92/1.10 assert (zenon_L62_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y))))) -> (ndr1_0) -> (~(c0_1 (a958))) -> (~(c1_1 (a958))) -> (~(c3_1 (a958))) -> False). % 0.92/1.10 do 0 intro. intros zenon_He1 zenon_H12 zenon_He2 zenon_He3 zenon_He4. % 0.92/1.10 generalize (zenon_He1 (a958)). zenon_intro zenon_He5. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_H11 | zenon_intro zenon_He6 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ]. % 0.92/1.10 exact (zenon_He2 zenon_He8). % 0.92/1.10 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hea | zenon_intro zenon_He9 ]. % 0.92/1.10 exact (zenon_He3 zenon_Hea). % 0.92/1.10 exact (zenon_He4 zenon_He9). % 0.92/1.10 (* end of lemma zenon_L62_ *) % 0.92/1.10 assert (zenon_L63_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Heb zenon_H12 zenon_Hec zenon_Hed zenon_Hee. % 0.92/1.10 generalize (zenon_Heb (a914)). zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf0 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 0.92/1.10 exact (zenon_Hec zenon_Hf2). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.92/1.10 exact (zenon_Hed zenon_Hf4). % 0.92/1.10 exact (zenon_Hf3 zenon_Hee). % 0.92/1.10 (* end of lemma zenon_L63_ *) % 0.92/1.10 assert (zenon_L64_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a914))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a914)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8d zenon_H12 zenon_Hed zenon_Heb zenon_Hee. % 0.92/1.10 generalize (zenon_H8d (a914)). zenon_intro zenon_Hf5. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf6 ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf7 ]. % 0.92/1.10 exact (zenon_Hed zenon_Hf4). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf3 ]. % 0.92/1.10 apply (zenon_L63_); trivial. % 0.92/1.10 exact (zenon_Hf3 zenon_Hee). % 0.92/1.10 (* end of lemma zenon_L64_ *) % 0.92/1.10 assert (zenon_L65_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H91 zenon_H3c zenon_H3b zenon_H3a zenon_Hee zenon_Heb zenon_Hed zenon_H12 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L64_); trivial. % 0.92/1.10 exact (zenon_H35 zenon_H36). % 0.92/1.10 (* end of lemma zenon_L65_ *) % 0.92/1.10 assert (zenon_L66_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf8 zenon_H12 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.10 generalize (zenon_Hf8 (a914)). zenon_intro zenon_Hfa. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfb ]. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hf1 ]. % 0.92/1.10 exact (zenon_Hf9 zenon_Hfc). % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.92/1.10 exact (zenon_Hed zenon_Hf4). % 0.92/1.10 exact (zenon_Hf3 zenon_Hee). % 0.92/1.10 (* end of lemma zenon_L66_ *) % 0.92/1.10 assert (zenon_L67_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H35 zenon_H91 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L62_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_L66_); trivial. % 0.92/1.11 (* end of lemma zenon_L67_ *) % 0.92/1.11 assert (zenon_L68_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hff zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H31 zenon_H35 zenon_H37. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_L67_); trivial. % 0.92/1.11 (* end of lemma zenon_L68_ *) % 0.92/1.11 assert (zenon_L69_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H37 zenon_H35 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.11 apply (zenon_L61_); trivial. % 0.92/1.11 apply (zenon_L68_); trivial. % 0.92/1.11 apply (zenon_L47_); trivial. % 0.92/1.11 (* end of lemma zenon_L69_ *) % 0.92/1.11 assert (zenon_L70_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L69_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L70_ *) % 0.92/1.11 assert (zenon_L71_ : (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H56 zenon_H12 zenon_H103 zenon_H104 zenon_H105. % 0.92/1.11 generalize (zenon_H56 (a938)). zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H11 | zenon_intro zenon_H107 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.92/1.11 exact (zenon_H103 zenon_H109). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.92/1.11 exact (zenon_H104 zenon_H10b). % 0.92/1.11 exact (zenon_H10a zenon_H105). % 0.92/1.11 (* end of lemma zenon_L71_ *) % 0.92/1.11 assert (zenon_L72_ : ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp7)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10c zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H23 zenon_Hb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H56 | zenon_intro zenon_H10d ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H24 | zenon_intro zenon_Hc ]. % 0.92/1.11 exact (zenon_H23 zenon_H24). % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 (* end of lemma zenon_L72_ *) % 0.92/1.11 assert (zenon_L73_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> (~(hskp7)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10e zenon_H10c zenon_H23 zenon_Hb. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_L72_); trivial. % 0.92/1.11 (* end of lemma zenon_L73_ *) % 0.92/1.11 assert (zenon_L74_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H111 zenon_H10c zenon_H23 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_Hdf zenon_Hdb zenon_H37 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.11 apply (zenon_L70_); trivial. % 0.92/1.11 apply (zenon_L73_); trivial. % 0.92/1.11 (* end of lemma zenon_L74_ *) % 0.92/1.11 assert (zenon_L75_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H112 zenon_H111 zenon_H10c zenon_H23 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_Hdf zenon_Hdb zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 (* end of lemma zenon_L75_ *) % 0.92/1.11 assert (zenon_L76_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H115 zenon_H111 zenon_H10c zenon_H23 zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_Hda zenon_Hba zenon_Ha7 zenon_H27 zenon_Hbc zenon_Hbe zenon_H91 zenon_H87 zenon_H8b zenon_H37 zenon_Hf zenon_Hd zenon_Hb zenon_H76 zenon_H4d zenon_H4e zenon_H57 zenon_H60 zenon_H71 zenon_H6e zenon_H75 zenon_Hbf zenon_Hc0 zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_Hd9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L75_); trivial. % 0.92/1.11 (* end of lemma zenon_L76_ *) % 0.92/1.11 assert (zenon_L77_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H116 zenon_H115 zenon_H111 zenon_H10c zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_Hda zenon_Hba zenon_Ha7 zenon_Hbc zenon_Hbe zenon_H91 zenon_H87 zenon_H8b zenon_H37 zenon_H76 zenon_H60 zenon_H71 zenon_H6e zenon_H75 zenon_Hc0 zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_Hd9 zenon_Hf zenon_Hd zenon_Hb zenon_H25 zenon_H23 zenon_H27 zenon_H29 zenon_H2c zenon_Hbf. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_L16_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.11 apply (zenon_L76_); trivial. % 0.92/1.11 (* end of lemma zenon_L77_ *) % 0.92/1.11 assert (zenon_L78_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a953))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H78 zenon_H12 zenon_H11a zenon_H11b zenon_H11c. % 0.92/1.11 generalize (zenon_H78 (a953)). zenon_intro zenon_H11d. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H11 | zenon_intro zenon_H11e ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.92/1.11 exact (zenon_H11a zenon_H120). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.92/1.11 exact (zenon_H122 zenon_H11b). % 0.92/1.11 exact (zenon_H121 zenon_H11c). % 0.92/1.11 (* end of lemma zenon_L78_ *) % 0.92/1.11 assert (zenon_L79_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (c3_1 (a953)) -> (c1_1 (a953)) -> (~(c2_1 (a953))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H123 zenon_H11c zenon_H11b zenon_H11a zenon_H12 zenon_H21 zenon_H29. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H22 | zenon_intro zenon_H2a ]. % 0.92/1.11 exact (zenon_H21 zenon_H22). % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 (* end of lemma zenon_L79_ *) % 0.92/1.11 assert (zenon_L80_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H125 zenon_H12 zenon_H126 zenon_H127 zenon_H128. % 0.92/1.11 generalize (zenon_H125 (a910)). zenon_intro zenon_H129. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_H11 | zenon_intro zenon_H12a ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ]. % 0.92/1.11 exact (zenon_H126 zenon_H12c). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ]. % 0.92/1.11 exact (zenon_H127 zenon_H12e). % 0.92/1.11 exact (zenon_H12d zenon_H128). % 0.92/1.11 (* end of lemma zenon_L80_ *) % 0.92/1.11 assert (zenon_L81_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_H21 zenon_H89. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H125 | zenon_intro zenon_H130 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H22 | zenon_intro zenon_H8a ]. % 0.92/1.11 exact (zenon_H21 zenon_H22). % 0.92/1.11 exact (zenon_H89 zenon_H8a). % 0.92/1.11 (* end of lemma zenon_L81_ *) % 0.92/1.11 assert (zenon_L82_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H31 zenon_H35 zenon_H37 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L68_); trivial. % 0.92/1.11 (* end of lemma zenon_L82_ *) % 0.92/1.11 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp12)) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H123 zenon_H21 zenon_H29. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 (* end of lemma zenon_L83_ *) % 0.92/1.11 assert (zenon_L84_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H134 zenon_H123 zenon_H29 zenon_H21 zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_L83_); trivial. % 0.92/1.11 (* end of lemma zenon_L84_ *) % 0.92/1.11 assert (zenon_L85_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H39 zenon_H12 zenon_H64 zenon_H7b zenon_H7a zenon_H79. % 0.92/1.11 generalize (zenon_H39 (a950)). zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H11 | zenon_intro zenon_H7d ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.92/1.11 generalize (zenon_H64 (a950)). zenon_intro zenon_H135. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_H11 | zenon_intro zenon_H136 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H86 | zenon_intro zenon_H82 ]. % 0.92/1.11 exact (zenon_H86 zenon_H7b). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.92/1.11 exact (zenon_H85 zenon_H7f). % 0.92/1.11 exact (zenon_H84 zenon_H7a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H83 | zenon_intro zenon_H86 ]. % 0.92/1.11 exact (zenon_H79 zenon_H83). % 0.92/1.11 exact (zenon_H86 zenon_H7b). % 0.92/1.11 (* end of lemma zenon_L85_ *) % 0.92/1.11 assert (zenon_L86_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H91 zenon_H64 zenon_H7a zenon_H7b zenon_H79 zenon_H12 zenon_H35. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.11 apply (zenon_L85_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.11 apply (zenon_L37_); trivial. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 (* end of lemma zenon_L86_ *) % 0.92/1.11 assert (zenon_L87_ : (~(hskp11)) -> (hskp11) -> False). % 0.92/1.11 do 0 intro. intros zenon_H137 zenon_H138. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L87_ *) % 0.92/1.11 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H93 zenon_H139 zenon_H128 zenon_H127 zenon_H126 zenon_H35 zenon_H91 zenon_H137. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L88_ *) % 0.92/1.11 assert (zenon_L89_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H115 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H134 zenon_H123 zenon_H29 zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H137 zenon_H139 zenon_Hbe zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.11 apply (zenon_L81_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L84_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L89_ *) % 0.92/1.11 assert (zenon_L90_ : (~(hskp31)) -> (hskp31) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13b zenon_H13c. % 0.92/1.11 exact (zenon_H13b zenon_H13c). % 0.92/1.11 (* end of lemma zenon_L90_ *) % 0.92/1.11 assert (zenon_L91_ : ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp29)) -> (~(hskp31)) -> (~(hskp27)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13d zenon_H5c zenon_H13b zenon_H9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H5d | zenon_intro zenon_H13e ]. % 0.92/1.11 exact (zenon_H5c zenon_H5d). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H13c | zenon_intro zenon_Ha ]. % 0.92/1.11 exact (zenon_H13b zenon_H13c). % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 (* end of lemma zenon_L91_ *) % 0.92/1.11 assert (zenon_L92_ : (forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70)))))) -> (ndr1_0) -> (c1_1 (a957)) -> (c2_1 (a957)) -> (c3_1 (a957)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Haa zenon_H12 zenon_H13f zenon_H140 zenon_H141. % 0.92/1.11 generalize (zenon_Haa (a957)). zenon_intro zenon_H142. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H11 | zenon_intro zenon_H143 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H145 | zenon_intro zenon_H144 ]. % 0.92/1.11 exact (zenon_H145 zenon_H13f). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H147 | zenon_intro zenon_H146 ]. % 0.92/1.11 exact (zenon_H147 zenon_H140). % 0.92/1.11 exact (zenon_H146 zenon_H141). % 0.92/1.11 (* end of lemma zenon_L92_ *) % 0.92/1.11 assert (zenon_L93_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H148 zenon_Ha7 zenon_H3c zenon_H3b zenon_H3a zenon_H87. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.11 apply (zenon_L92_); trivial. % 0.92/1.11 exact (zenon_H87 zenon_H88). % 0.92/1.11 (* end of lemma zenon_L93_ *) % 0.92/1.11 assert (zenon_L94_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14b zenon_Ha7 zenon_H87 zenon_H3c zenon_H3b zenon_H3a zenon_H5c zenon_H9 zenon_H13d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.11 apply (zenon_L91_); trivial. % 0.92/1.11 apply (zenon_L93_); trivial. % 0.92/1.11 (* end of lemma zenon_L94_ *) % 0.92/1.11 assert (zenon_L95_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H70 zenon_H139 zenon_H128 zenon_H127 zenon_H126 zenon_H137. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.92/1.11 apply (zenon_L29_); trivial. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L95_ *) % 0.92/1.11 assert (zenon_L96_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> (~(c1_1 (a969))) -> (~(c2_1 (a969))) -> (c0_1 (a969)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H75 zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H13d zenon_H9 zenon_H3a zenon_H3b zenon_H3c zenon_H87 zenon_Ha7 zenon_H14b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 (* end of lemma zenon_L96_ *) % 0.92/1.11 assert (zenon_L97_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H128 zenon_H127 zenon_H126 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H5c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.92/1.11 apply (zenon_L45_); trivial. % 0.92/1.11 exact (zenon_H5c zenon_H5d). % 0.92/1.11 (* end of lemma zenon_L97_ *) % 0.92/1.11 assert (zenon_L98_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc5 zenon_H75 zenon_H139 zenon_H137 zenon_H126 zenon_H127 zenon_H128 zenon_H14c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.11 apply (zenon_L97_); trivial. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 (* end of lemma zenon_L98_ *) % 0.92/1.11 assert (zenon_L99_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hda zenon_H14c zenon_Hbe zenon_H91 zenon_H37 zenon_H75 zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H13d zenon_H87 zenon_Ha7 zenon_H14b zenon_H76 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H60 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 apply (zenon_L32_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 (* end of lemma zenon_L99_ *) % 0.92/1.11 assert (zenon_L100_ : (~(hskp28)) -> (hskp28) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14e zenon_H14f. % 0.92/1.11 exact (zenon_H14e zenon_H14f). % 0.92/1.11 (* end of lemma zenon_L100_ *) % 0.92/1.11 assert (zenon_L101_ : (~(hskp17)) -> (hskp17) -> False). % 0.92/1.11 do 0 intro. intros zenon_H150 zenon_H151. % 0.92/1.11 exact (zenon_H150 zenon_H151). % 0.92/1.11 (* end of lemma zenon_L101_ *) % 0.92/1.11 assert (zenon_L102_ : ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp28)) -> (~(hskp22)) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H152 zenon_H14e zenon_H35 zenon_H150. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H14f | zenon_intro zenon_H153 ]. % 0.92/1.11 exact (zenon_H14e zenon_H14f). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H36 | zenon_intro zenon_H151 ]. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 exact (zenon_H150 zenon_H151). % 0.92/1.11 (* end of lemma zenon_L102_ *) % 0.92/1.11 assert (zenon_L103_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H39 zenon_H12 zenon_H4d zenon_H4c zenon_H4e zenon_H57. % 0.92/1.11 generalize (zenon_H39 (a913)). zenon_intro zenon_H154. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_H11 | zenon_intro zenon_H155 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H53 | zenon_intro zenon_H156 ]. % 0.92/1.11 exact (zenon_H4d zenon_H53). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H4f | zenon_intro zenon_H5b ]. % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 exact (zenon_H5b zenon_H57). % 0.92/1.11 (* end of lemma zenon_L103_ *) % 0.92/1.11 assert (zenon_L104_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70)))))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c0_1 (a900)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H157 zenon_H12 zenon_Haa zenon_H158 zenon_H159 zenon_H15a. % 0.92/1.11 generalize (zenon_H157 (a900)). zenon_intro zenon_H15b. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H11 | zenon_intro zenon_H15c ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.92/1.11 generalize (zenon_Haa (a900)). zenon_intro zenon_H15f. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H11 | zenon_intro zenon_H160 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ]. % 0.92/1.11 exact (zenon_H162 zenon_H15e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 0.92/1.11 exact (zenon_H164 zenon_H158). % 0.92/1.11 exact (zenon_H163 zenon_H159). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H165 | zenon_intro zenon_H163 ]. % 0.92/1.11 exact (zenon_H165 zenon_H15a). % 0.92/1.11 exact (zenon_H163 zenon_H159). % 0.92/1.11 (* end of lemma zenon_L104_ *) % 0.92/1.11 assert (zenon_L105_ : (~(hskp18)) -> (hskp18) -> False). % 0.92/1.11 do 0 intro. intros zenon_H166 zenon_H167. % 0.92/1.11 exact (zenon_H166 zenon_H167). % 0.92/1.11 (* end of lemma zenon_L105_ *) % 0.92/1.11 assert (zenon_L106_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c0_1 (a900)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha7 zenon_H57 zenon_H4e zenon_H4c zenon_H4d zenon_H166 zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H158 zenon_H159 zenon_H15a zenon_H168 zenon_H87. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.11 apply (zenon_L103_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 0.92/1.11 apply (zenon_L104_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 exact (zenon_H166 zenon_H167). % 0.92/1.11 exact (zenon_H87 zenon_H88). % 0.92/1.11 (* end of lemma zenon_L106_ *) % 0.92/1.11 assert (zenon_L107_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a953)) -> (c1_1 (a953)) -> (~(c2_1 (a953))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_H16a zenon_H16b zenon_H11c zenon_H11b zenon_H11a zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H166 zenon_H105 zenon_H104 zenon_H103 zenon_H87 zenon_Ha7 zenon_Hed zenon_Hee zenon_H91 zenon_H35 zenon_H150 zenon_H152. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_L102_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L106_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 (* end of lemma zenon_L107_ *) % 0.92/1.11 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H134 zenon_H16a zenon_H16b zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H166 zenon_H87 zenon_Ha7 zenon_H150 zenon_H152 zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_L107_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L108_ *) % 0.92/1.11 assert (zenon_L109_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a953))) -> (~(c2_1 (a953))) -> (c3_1 (a953)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Heb zenon_H12 zenon_H170 zenon_H11a zenon_H11c. % 0.92/1.11 generalize (zenon_Heb (a953)). zenon_intro zenon_H171. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_H11 | zenon_intro zenon_H172 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.92/1.11 exact (zenon_H170 zenon_H174). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H120 | zenon_intro zenon_H121 ]. % 0.92/1.11 exact (zenon_H11a zenon_H120). % 0.92/1.11 exact (zenon_H121 zenon_H11c). % 0.92/1.11 (* end of lemma zenon_L109_ *) % 0.92/1.11 assert (zenon_L110_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a953))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a953)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H8d zenon_H12 zenon_H11a zenon_Heb zenon_H11c. % 0.92/1.11 generalize (zenon_H8d (a953)). zenon_intro zenon_H175. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H11 | zenon_intro zenon_H176 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H120 | zenon_intro zenon_H177 ]. % 0.92/1.11 exact (zenon_H11a zenon_H120). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H170 | zenon_intro zenon_H121 ]. % 0.92/1.11 apply (zenon_L109_); trivial. % 0.92/1.11 exact (zenon_H121 zenon_H11c). % 0.92/1.11 (* end of lemma zenon_L110_ *) % 0.92/1.11 assert (zenon_L111_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a953)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a953))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H91 zenon_H3c zenon_H3b zenon_H3a zenon_H11c zenon_Heb zenon_H11a zenon_H12 zenon_H35. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.11 apply (zenon_L110_); trivial. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 (* end of lemma zenon_L111_ *) % 0.92/1.11 assert (zenon_L112_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp22)) -> (~(c2_1 (a953))) -> (c3_1 (a953)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H35 zenon_H11a zenon_H11c zenon_H91 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L62_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.11 apply (zenon_L111_); trivial. % 0.92/1.11 apply (zenon_L66_); trivial. % 0.92/1.11 (* end of lemma zenon_L112_ *) % 0.92/1.11 assert (zenon_L113_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c2_1 (a953))) -> (c3_1 (a953)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hff zenon_Hc0 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H11a zenon_H11c zenon_H91 zenon_H31 zenon_H35 zenon_H37. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_L112_); trivial. % 0.92/1.11 (* end of lemma zenon_L113_ *) % 0.92/1.11 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H91 zenon_H31 zenon_H35 zenon_H37 zenon_Hdb zenon_Hdd zenon_Hdf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.11 apply (zenon_L61_); trivial. % 0.92/1.11 apply (zenon_L113_); trivial. % 0.92/1.11 (* end of lemma zenon_L114_ *) % 0.92/1.11 assert (zenon_L115_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H134 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_L114_); trivial. % 0.92/1.11 (* end of lemma zenon_L115_ *) % 0.92/1.11 assert (zenon_L116_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H134 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L116_ *) % 0.92/1.11 assert (zenon_L117_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H178 zenon_H12 zenon_H179 zenon_H17a zenon_H17b. % 0.92/1.11 generalize (zenon_H178 (a929)). zenon_intro zenon_H17c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H11 | zenon_intro zenon_H17d ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.92/1.11 exact (zenon_H179 zenon_H17f). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.92/1.11 exact (zenon_H181 zenon_H17a). % 0.92/1.11 exact (zenon_H180 zenon_H17b). % 0.92/1.11 (* end of lemma zenon_L117_ *) % 0.92/1.11 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H105 zenon_H104 zenon_H103. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 0.92/1.11 apply (zenon_L117_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H56 | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 (* end of lemma zenon_L118_ *) % 0.92/1.11 assert (zenon_L119_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H184 zenon_H111 zenon_H182 zenon_Hbe zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_Hdf zenon_Hdb zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.11 apply (zenon_L116_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_L118_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L119_ *) % 0.92/1.11 assert (zenon_L120_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H187 zenon_H12 zenon_H188 zenon_H189 zenon_H18a. % 0.92/1.11 generalize (zenon_H187 (a928)). zenon_intro zenon_H18b. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H11 | zenon_intro zenon_H18c ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 0.92/1.11 exact (zenon_H188 zenon_H18e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ]. % 0.92/1.11 exact (zenon_H189 zenon_H190). % 0.92/1.11 exact (zenon_H18f zenon_H18a). % 0.92/1.11 (* end of lemma zenon_L120_ *) % 0.92/1.11 assert (zenon_L121_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp25)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> False). % 0.92/1.11 do 0 intro. intros zenon_H191 zenon_H5 zenon_H18a zenon_H189 zenon_H188 zenon_H12. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H187 | zenon_intro zenon_H6 ]. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L121_ *) % 0.92/1.11 assert (zenon_L122_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H31 zenon_H35 zenon_H37 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.11 apply (zenon_L121_); trivial. % 0.92/1.11 apply (zenon_L68_); trivial. % 0.92/1.11 (* end of lemma zenon_L122_ *) % 0.92/1.11 assert (zenon_L123_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H191 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L122_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L123_ *) % 0.92/1.11 assert (zenon_L124_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H116 zenon_H195 zenon_H191 zenon_H111 zenon_H16a zenon_H16b zenon_H168 zenon_H152 zenon_Hbc zenon_H27 zenon_Hdf zenon_Hdb zenon_H182 zenon_H196 zenon_Hda zenon_H14c zenon_H75 zenon_H13d zenon_H87 zenon_Ha7 zenon_H14b zenon_H76 zenon_H60 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_H8b zenon_Hd9 zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_Hbe zenon_H139 zenon_H137 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_H29 zenon_H123 zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H115. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.11 apply (zenon_L70_); trivial. % 0.92/1.11 apply (zenon_L108_); trivial. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_L123_); trivial. % 0.92/1.11 (* end of lemma zenon_L124_ *) % 0.92/1.11 assert (zenon_L125_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a978))) -> (c2_1 (a978)) -> (c3_1 (a978)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H197 zenon_H12 zenon_H14 zenon_H2f zenon_H16. % 0.92/1.11 generalize (zenon_H197 (a978)). zenon_intro zenon_H198. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H11 | zenon_intro zenon_H199 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H1a | zenon_intro zenon_H47 ]. % 0.92/1.11 exact (zenon_H14 zenon_H1a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b ]. % 0.92/1.11 exact (zenon_H4b zenon_H2f). % 0.92/1.11 exact (zenon_H1b zenon_H16). % 0.92/1.11 (* end of lemma zenon_L125_ *) % 0.92/1.11 assert (zenon_L126_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19a zenon_H12 zenon_H19b zenon_H19c zenon_H19d. % 0.92/1.11 generalize (zenon_H19a (a912)). zenon_intro zenon_H19e. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H11 | zenon_intro zenon_H19f ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.92/1.11 exact (zenon_H19b zenon_H1a1). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.92/1.11 exact (zenon_H19c zenon_H1a3). % 0.92/1.11 exact (zenon_H19d zenon_H1a2). % 0.92/1.11 (* end of lemma zenon_L126_ *) % 0.92/1.11 assert (zenon_L127_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2b zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H19b zenon_H19c zenon_H19d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 0.92/1.11 apply (zenon_L125_); trivial. % 0.92/1.11 apply (zenon_L126_); trivial. % 0.92/1.11 (* end of lemma zenon_L127_ *) % 0.92/1.11 assert (zenon_L128_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1a6 zenon_Hbf zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_Hb zenon_Hd zenon_Hf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_L127_); trivial. % 0.92/1.11 (* end of lemma zenon_L128_ *) % 0.92/1.11 assert (zenon_L129_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1a9 zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac. % 0.92/1.11 generalize (zenon_H1a9 (a909)). zenon_intro zenon_H1ad. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ae ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.92/1.11 exact (zenon_H1aa zenon_H1b0). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ]. % 0.92/1.11 exact (zenon_H1ab zenon_H1b2). % 0.92/1.11 exact (zenon_H1ac zenon_H1b1). % 0.92/1.11 (* end of lemma zenon_L129_ *) % 0.92/1.11 assert (zenon_L130_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1b3 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_Hdb zenon_H87. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b4 ]. % 0.92/1.11 apply (zenon_L129_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_Hdc | zenon_intro zenon_H88 ]. % 0.92/1.11 exact (zenon_Hdb zenon_Hdc). % 0.92/1.11 exact (zenon_H87 zenon_H88). % 0.92/1.11 (* end of lemma zenon_L130_ *) % 0.92/1.11 assert (zenon_L131_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H15 zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7. % 0.92/1.11 generalize (zenon_H15 (a907)). zenon_intro zenon_H1b8. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b9 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.92/1.11 exact (zenon_H1b5 zenon_H1bb). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 0.92/1.11 exact (zenon_H1b6 zenon_H1bd). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 (* end of lemma zenon_L131_ *) % 0.92/1.11 assert (zenon_L132_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2c zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H27 zenon_H29. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H15 | zenon_intro zenon_H30 ]. % 0.92/1.11 apply (zenon_L131_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.92/1.11 exact (zenon_H27 zenon_H28). % 0.92/1.11 exact (zenon_H29 zenon_H2a). % 0.92/1.11 (* end of lemma zenon_L132_ *) % 0.92/1.11 assert (zenon_L133_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H43 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0. % 0.92/1.11 generalize (zenon_H43 (a906)). zenon_intro zenon_H1c1. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c2 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.92/1.11 exact (zenon_H1be zenon_H1c4). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.92/1.11 exact (zenon_H1c6 zenon_H1bf). % 0.92/1.11 exact (zenon_H1c5 zenon_H1c0). % 0.92/1.11 (* end of lemma zenon_L133_ *) % 0.92/1.11 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.11 apply (zenon_L133_); trivial. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 (* end of lemma zenon_L134_ *) % 0.92/1.11 assert (zenon_L135_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H31 zenon_H35 zenon_H37. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_L134_); trivial. % 0.92/1.11 (* end of lemma zenon_L135_ *) % 0.92/1.11 assert (zenon_L136_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbe zenon_H91 zenon_H87 zenon_H89 zenon_H8b zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L135_); trivial. % 0.92/1.11 apply (zenon_L39_); trivial. % 0.92/1.11 (* end of lemma zenon_L136_ *) % 0.92/1.11 assert (zenon_L137_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L136_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L137_ *) % 0.92/1.11 assert (zenon_L138_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H115 zenon_H111 zenon_H10c zenon_H23 zenon_Hbc zenon_H27 zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_Hbe zenon_H91 zenon_H87 zenon_H8b zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.11 apply (zenon_L137_); trivial. % 0.92/1.11 apply (zenon_L75_); trivial. % 0.92/1.11 (* end of lemma zenon_L138_ *) % 0.92/1.11 assert (zenon_L139_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbe zenon_H139 zenon_H137 zenon_H91 zenon_H128 zenon_H127 zenon_H126 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L135_); trivial. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 (* end of lemma zenon_L139_ *) % 0.92/1.11 assert (zenon_L140_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H91 zenon_H137 zenon_H139 zenon_Hbe. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 (* end of lemma zenon_L140_ *) % 0.92/1.11 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_Hbf zenon_H1a4 zenon_Hd zenon_Hf zenon_Hbe zenon_H139 zenon_H91 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 0.92/1.11 apply (zenon_L140_); trivial. % 0.92/1.11 apply (zenon_L128_); trivial. % 0.92/1.11 (* end of lemma zenon_L141_ *) % 0.92/1.11 assert (zenon_L142_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1cb zenon_H1b3 zenon_Hdb zenon_H87. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 0.92/1.11 apply (zenon_L130_); trivial. % 0.92/1.11 (* end of lemma zenon_L142_ *) % 0.92/1.11 assert (zenon_L143_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H3 zenon_H150. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H43 | zenon_intro zenon_H1cf ]. % 0.92/1.11 apply (zenon_L133_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H4 | zenon_intro zenon_H151 ]. % 0.92/1.11 exact (zenon_H3 zenon_H4). % 0.92/1.11 exact (zenon_H150 zenon_H151). % 0.92/1.11 (* end of lemma zenon_L143_ *) % 0.92/1.11 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp5)) -> (~(hskp15)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H27 zenon_H5e zenon_H1d1 zenon_Ha0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.11 apply (zenon_L131_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Heb | zenon_intro zenon_H1d3 ]. % 0.92/1.11 apply (zenon_L110_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H5f | zenon_intro zenon_H28 ]. % 0.92/1.11 exact (zenon_H5e zenon_H5f). % 0.92/1.11 exact (zenon_H27 zenon_H28). % 0.92/1.11 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.11 (* end of lemma zenon_L144_ *) % 0.92/1.11 assert (zenon_L145_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp15)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H5e zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L143_); trivial. % 0.92/1.11 apply (zenon_L144_); trivial. % 0.92/1.11 (* end of lemma zenon_L145_ *) % 0.92/1.11 assert (zenon_L146_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a928))) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H125 zenon_H12 zenon_H1d4 zenon_H188 zenon_H18a. % 0.92/1.11 generalize (zenon_H125 (a928)). zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d6 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d7 ]. % 0.92/1.11 exact (zenon_H1d4 zenon_H1d8). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H18e | zenon_intro zenon_H18f ]. % 0.92/1.11 exact (zenon_H188 zenon_H18e). % 0.92/1.11 exact (zenon_H18f zenon_H18a). % 0.92/1.11 (* end of lemma zenon_L146_ *) % 0.92/1.11 assert (zenon_L147_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (c1_1 (a928)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d9 zenon_H12 zenon_H188 zenon_H125 zenon_H18a. % 0.92/1.11 generalize (zenon_H1d9 (a928)). zenon_intro zenon_H1da. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H11 | zenon_intro zenon_H1db ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H18e | zenon_intro zenon_H1dc ]. % 0.92/1.11 exact (zenon_H188 zenon_H18e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L146_); trivial. % 0.92/1.11 exact (zenon_H18f zenon_H18a). % 0.92/1.11 (* end of lemma zenon_L147_ *) % 0.92/1.11 assert (zenon_L148_ : (~(hskp20)) -> (hskp20) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1dd zenon_H1de. % 0.92/1.11 exact (zenon_H1dd zenon_H1de). % 0.92/1.11 (* end of lemma zenon_L148_ *) % 0.92/1.11 assert (zenon_L149_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (c1_1 (a928)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp20)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1df zenon_H18a zenon_H125 zenon_H188 zenon_H12 zenon_H87 zenon_H1dd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1e0 ]. % 0.92/1.11 apply (zenon_L147_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H88 | zenon_intro zenon_H1de ]. % 0.92/1.11 exact (zenon_H87 zenon_H88). % 0.92/1.11 exact (zenon_H1dd zenon_H1de). % 0.92/1.11 (* end of lemma zenon_L149_ *) % 0.92/1.11 assert (zenon_L150_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a928))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_H189 zenon_H125 zenon_H188 zenon_H18a. % 0.92/1.11 generalize (zenon_Hb0 (a928)). zenon_intro zenon_H1e1. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1e1); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e2 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H190 | zenon_intro zenon_H1dc ]. % 0.92/1.11 exact (zenon_H189 zenon_H190). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L146_); trivial. % 0.92/1.11 exact (zenon_H18f zenon_H18a). % 0.92/1.11 (* end of lemma zenon_L150_ *) % 0.92/1.11 assert (zenon_L151_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H12f zenon_H18a zenon_H188 zenon_H189 zenon_H12 zenon_Hb0 zenon_H21 zenon_H89. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H125 | zenon_intro zenon_H130 ]. % 0.92/1.11 apply (zenon_L150_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H22 | zenon_intro zenon_H8a ]. % 0.92/1.11 exact (zenon_H21 zenon_H22). % 0.92/1.11 exact (zenon_H89 zenon_H8a). % 0.92/1.11 (* end of lemma zenon_L151_ *) % 0.92/1.11 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp20)) -> (~(hskp1)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H70 zenon_H139 zenon_H1dd zenon_H87 zenon_H188 zenon_H18a zenon_H1df zenon_H137. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L149_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.92/1.11 apply (zenon_L29_); trivial. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L152_ *) % 0.92/1.11 assert (zenon_L153_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp20)) -> (~(hskp1)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(c3_1 (a928))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H75 zenon_H139 zenon_H137 zenon_H1df zenon_H1dd zenon_H87 zenon_H18a zenon_H188 zenon_H12 zenon_H12f zenon_H89 zenon_H21 zenon_H189 zenon_H14c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L149_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 exact (zenon_H5c zenon_H5d). % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 (* end of lemma zenon_L153_ *) % 0.92/1.11 assert (zenon_L154_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1e3 zenon_H189 zenon_H18a zenon_H125 zenon_H188 zenon_H12 zenon_H13b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H187 | zenon_intro zenon_H1e4 ]. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H13c ]. % 0.92/1.11 apply (zenon_L147_); trivial. % 0.92/1.11 exact (zenon_H13b zenon_H13c). % 0.92/1.11 (* end of lemma zenon_L154_ *) % 0.92/1.11 assert (zenon_L155_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp13)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp29)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H13b zenon_H1e3 zenon_H89 zenon_H21 zenon_H12 zenon_H189 zenon_H188 zenon_H18a zenon_H12f zenon_H5c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L154_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 exact (zenon_H5c zenon_H5d). % 0.92/1.11 (* end of lemma zenon_L155_ *) % 0.92/1.11 assert (zenon_L156_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a957)) -> (c2_1 (a957)) -> (c3_1 (a957)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1e5 zenon_H12 zenon_H1e6 zenon_H140 zenon_H141. % 0.92/1.11 generalize (zenon_H1e5 (a957)). zenon_intro zenon_H1e7. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e8 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H144 ]. % 0.92/1.11 exact (zenon_H1e9 zenon_H1e6). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H147 | zenon_intro zenon_H146 ]. % 0.92/1.11 exact (zenon_H147 zenon_H140). % 0.92/1.11 exact (zenon_H146 zenon_H141). % 0.92/1.11 (* end of lemma zenon_L156_ *) % 0.92/1.11 assert (zenon_L157_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a957)) -> (c3_1 (a957)) -> (c1_1 (a957)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13 zenon_H12 zenon_H1e5 zenon_H140 zenon_H141 zenon_H13f. % 0.92/1.11 generalize (zenon_H13 (a957)). zenon_intro zenon_H1ea. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H1eb ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1ec ]. % 0.92/1.11 apply (zenon_L156_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H145 | zenon_intro zenon_H146 ]. % 0.92/1.11 exact (zenon_H145 zenon_H13f). % 0.92/1.11 exact (zenon_H146 zenon_H141). % 0.92/1.11 (* end of lemma zenon_L157_ *) % 0.92/1.11 assert (zenon_L158_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp21)) -> (ndr1_0) -> (c2_1 (a957)) -> (c3_1 (a957)) -> (c1_1 (a957)) -> (~(c3_1 (a928))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H25 zenon_Hdd zenon_H12 zenon_H140 zenon_H141 zenon_H13f zenon_H189 zenon_H125 zenon_H188 zenon_H18a zenon_H1ed zenon_H21 zenon_H23. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H13 | zenon_intro zenon_H26 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.92/1.11 apply (zenon_L150_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.92/1.11 apply (zenon_L157_); trivial. % 0.92/1.11 exact (zenon_Hdd zenon_Hde). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H22 | zenon_intro zenon_H24 ]. % 0.92/1.11 exact (zenon_H21 zenon_H22). % 0.92/1.11 exact (zenon_H23 zenon_H24). % 0.92/1.11 (* end of lemma zenon_L158_ *) % 0.92/1.11 assert (zenon_L159_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp31)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c3_1 (a911)) -> (c1_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H139 zenon_H13b zenon_H188 zenon_H18a zenon_H189 zenon_H1e3 zenon_H67 zenon_H66 zenon_H65 zenon_H12 zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L154_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.92/1.11 apply (zenon_L29_); trivial. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L159_ *) % 0.92/1.11 assert (zenon_L160_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H70 zenon_H14b zenon_H1ed zenon_Hdd zenon_H21 zenon_H23 zenon_H25 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.11 apply (zenon_L159_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L158_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.92/1.11 apply (zenon_L29_); trivial. % 0.92/1.11 exact (zenon_H137 zenon_H138). % 0.92/1.11 (* end of lemma zenon_L160_ *) % 0.92/1.11 assert (zenon_L161_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H21 zenon_H89 zenon_H12f zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H25 zenon_H23 zenon_Hdd zenon_H1ed zenon_H14b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.11 apply (zenon_L155_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L158_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 exact (zenon_H5c zenon_H5d). % 0.92/1.11 apply (zenon_L160_); trivial. % 0.92/1.11 (* end of lemma zenon_L161_ *) % 0.92/1.11 assert (zenon_L162_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Heb zenon_H12 zenon_H1b5 zenon_H43 zenon_H1b6 zenon_H1b7. % 0.92/1.11 generalize (zenon_Heb (a907)). zenon_intro zenon_H1ef. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f0 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1f1 ]. % 0.92/1.11 exact (zenon_H1b5 zenon_H1bb). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1bc ]. % 0.92/1.11 generalize (zenon_H43 (a907)). zenon_intro zenon_H1f3. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1f5 ]. % 0.92/1.11 exact (zenon_H1b6 zenon_H1bd). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1bc ]. % 0.92/1.11 exact (zenon_H1f6 zenon_H1f2). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 (* end of lemma zenon_L162_ *) % 0.92/1.11 assert (zenon_L163_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a907))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (c3_1 (a907)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H43 zenon_H12 zenon_H1b6 zenon_Hf8 zenon_H1b7. % 0.92/1.11 generalize (zenon_H43 (a907)). zenon_intro zenon_H1f3. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1f5 ]. % 0.92/1.11 exact (zenon_H1b6 zenon_H1bd). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1bc ]. % 0.92/1.11 generalize (zenon_Hf8 (a907)). zenon_intro zenon_H1f7. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1f1 ]. % 0.92/1.11 exact (zenon_H1b6 zenon_H1bd). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1bc ]. % 0.92/1.11 exact (zenon_H1f6 zenon_H1f2). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 (* end of lemma zenon_L163_ *) % 0.92/1.11 assert (zenon_L164_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a907)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (~(c1_1 (a907))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H71 zenon_H3c zenon_H3b zenon_H3a zenon_H1b7 zenon_Hf8 zenon_H1b6 zenon_H12 zenon_H35. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.11 apply (zenon_L163_); trivial. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 (* end of lemma zenon_L164_ *) % 0.92/1.11 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H1b5 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.11 apply (zenon_L62_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.11 apply (zenon_L21_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 exact (zenon_H35 zenon_H36). % 0.92/1.11 apply (zenon_L164_); trivial. % 0.92/1.11 (* end of lemma zenon_L165_ *) % 0.92/1.11 assert (zenon_L166_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H31 zenon_H35 zenon_H37 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L20_); trivial. % 0.92/1.11 apply (zenon_L165_); trivial. % 0.92/1.11 (* end of lemma zenon_L166_ *) % 0.92/1.11 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(hskp13)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H8b zenon_H87 zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 0.92/1.11 exact (zenon_H87 zenon_H88). % 0.92/1.11 exact (zenon_H89 zenon_H8a). % 0.92/1.11 (* end of lemma zenon_L167_ *) % 0.92/1.11 assert (zenon_L168_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.11 apply (zenon_L166_); trivial. % 0.92/1.11 apply (zenon_L167_); trivial. % 0.92/1.11 (* end of lemma zenon_L168_ *) % 0.92/1.11 assert (zenon_L169_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbe zenon_H91 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.11 apply (zenon_L168_); trivial. % 0.92/1.11 apply (zenon_L39_); trivial. % 0.92/1.11 (* end of lemma zenon_L169_ *) % 0.92/1.11 assert (zenon_L170_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a907)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H197 zenon_H12 zenon_H1b5 zenon_Heb zenon_H1b7. % 0.92/1.11 generalize (zenon_H197 (a907)). zenon_intro zenon_H1f9. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fa ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1f5 ]. % 0.92/1.11 exact (zenon_H1b5 zenon_H1bb). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1bc ]. % 0.92/1.11 generalize (zenon_Heb (a907)). zenon_intro zenon_H1ef. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f0 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1f1 ]. % 0.92/1.11 exact (zenon_H1b5 zenon_H1bb). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1bc ]. % 0.92/1.11 exact (zenon_H1f6 zenon_H1f2). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 exact (zenon_H1bc zenon_H1b7). % 0.92/1.11 (* end of lemma zenon_L170_ *) % 0.92/1.11 assert (zenon_L171_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H4c zenon_H12 zenon_H1fb zenon_H1fc zenon_H1fd. % 0.92/1.11 generalize (zenon_H4c (a937)). zenon_intro zenon_H1fe. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1fe); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ff ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ]. % 0.92/1.11 exact (zenon_H1fb zenon_H201). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.92/1.11 exact (zenon_H1fc zenon_H203). % 0.92/1.11 exact (zenon_H202 zenon_H1fd). % 0.92/1.11 (* end of lemma zenon_L171_ *) % 0.92/1.11 assert (zenon_L172_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H44 zenon_H12 zenon_H204 zenon_H4c zenon_H1fc zenon_H1fd. % 0.92/1.11 generalize (zenon_H44 (a937)). zenon_intro zenon_H205. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H208 | zenon_intro zenon_H207 ]. % 0.92/1.11 exact (zenon_H204 zenon_H208). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fb | zenon_intro zenon_H202 ]. % 0.92/1.11 apply (zenon_L171_); trivial. % 0.92/1.11 exact (zenon_H202 zenon_H1fd). % 0.92/1.11 (* end of lemma zenon_L172_ *) % 0.92/1.11 assert (zenon_L173_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a937))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H76 zenon_H1fd zenon_H1fc zenon_H4c zenon_H204 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H62. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L172_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 exact (zenon_H62 zenon_H63). % 0.92/1.11 (* end of lemma zenon_L173_ *) % 0.92/1.11 assert (zenon_L174_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H76 zenon_H1fd zenon_H1fc zenon_H204 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H62. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.11 apply (zenon_L170_); trivial. % 0.92/1.11 apply (zenon_L173_); trivial. % 0.92/1.11 (* end of lemma zenon_L174_ *) % 0.92/1.11 assert (zenon_L175_ : (~(hskp8)) -> (hskp8) -> False). % 0.92/1.11 do 0 intro. intros zenon_H20b zenon_H20c. % 0.92/1.11 exact (zenon_H20b zenon_H20c). % 0.92/1.11 (* end of lemma zenon_L175_ *) % 0.92/1.11 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp14)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H62 zenon_H103 zenon_H104 zenon_H105 zenon_H204 zenon_H1fc zenon_H1fd zenon_H76 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.11 apply (zenon_L174_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 exact (zenon_H20b zenon_H20c). % 0.92/1.11 (* end of lemma zenon_L176_ *) % 0.92/1.11 assert (zenon_L177_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H192 zenon_H20f zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H76 zenon_H62 zenon_H209 zenon_H134 zenon_H8b zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H91 zenon_Hbe zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H14c zenon_H21 zenon_H89 zenon_H12f zenon_H87 zenon_H1df zenon_H137 zenon_H139 zenon_H75. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.92/1.11 apply (zenon_L153_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.11 apply (zenon_L161_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L169_); trivial. % 0.92/1.11 apply (zenon_L176_); trivial. % 0.92/1.11 (* end of lemma zenon_L177_ *) % 0.92/1.11 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H213 zenon_Ha0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Heb | zenon_intro zenon_H214 ]. % 0.92/1.12 apply (zenon_L110_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 (* end of lemma zenon_L178_ *) % 0.92/1.12 assert (zenon_L179_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H134 zenon_H1d0 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Ha0 zenon_H213 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.12 apply (zenon_L143_); trivial. % 0.92/1.12 apply (zenon_L178_); trivial. % 0.92/1.12 (* end of lemma zenon_L179_ *) % 0.92/1.12 assert (zenon_L180_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H157 zenon_H12 zenon_Hc8 zenon_Hca zenon_Hc9. % 0.92/1.12 generalize (zenon_H157 (a918)). zenon_intro zenon_H215. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H11 | zenon_intro zenon_H216 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hcd ]. % 0.92/1.12 exact (zenon_Hc8 zenon_Hd2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 exact (zenon_Hd5 zenon_Hca). % 0.92/1.12 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.12 (* end of lemma zenon_L180_ *) % 0.92/1.12 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (~(hskp18)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H10e zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H166. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 0.92/1.12 apply (zenon_L180_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L71_); trivial. % 0.92/1.12 exact (zenon_H166 zenon_H167). % 0.92/1.12 (* end of lemma zenon_L181_ *) % 0.92/1.12 assert (zenon_L182_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H12f zenon_H89 zenon_H21 zenon_H14c zenon_H139 zenon_H137 zenon_H75. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_L161_); trivial. % 0.92/1.12 apply (zenon_L181_); trivial. % 0.92/1.12 (* end of lemma zenon_L182_ *) % 0.92/1.12 assert (zenon_L183_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a918)) -> (c2_1 (a918)) -> (c3_1 (a918)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1e5 zenon_H12 zenon_Hca zenon_Hce zenon_Hc9. % 0.92/1.12 generalize (zenon_H1e5 (a918)). zenon_intro zenon_H217. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H11 | zenon_intro zenon_H218 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd1 ]. % 0.92/1.12 exact (zenon_Hd5 zenon_Hca). % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 exact (zenon_Hd4 zenon_Hce). % 0.92/1.12 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.12 (* end of lemma zenon_L183_ *) % 0.92/1.12 assert (zenon_L184_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H8d zenon_H12 zenon_H1e5 zenon_Hca zenon_Hc9. % 0.92/1.12 generalize (zenon_H8d (a918)). zenon_intro zenon_Hcb. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hcc ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.92/1.12 apply (zenon_L183_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 exact (zenon_Hd5 zenon_Hca). % 0.92/1.12 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.12 (* end of lemma zenon_L184_ *) % 0.92/1.12 assert (zenon_L185_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(hskp23)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_Hc9 zenon_Hca zenon_H12 zenon_H8d zenon_H31. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 0.92/1.12 apply (zenon_L117_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 0.92/1.12 apply (zenon_L184_); trivial. % 0.92/1.12 exact (zenon_H31 zenon_H32). % 0.92/1.12 (* end of lemma zenon_L185_ *) % 0.92/1.12 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp4)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H93 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_L37_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 (* end of lemma zenon_L186_ *) % 0.92/1.12 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H184 zenon_Hbe zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H219 zenon_Hc9 zenon_Hca zenon_Ha0 zenon_H1d0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_L185_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 apply (zenon_L186_); trivial. % 0.92/1.12 (* end of lemma zenon_L187_ *) % 0.92/1.12 assert (zenon_L188_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H195 zenon_H196 zenon_Hbe zenon_H219 zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H21 zenon_H89 zenon_H12f zenon_H1e3 zenon_H25 zenon_H23 zenon_H1ed zenon_H14b zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d1 zenon_H27 zenon_H5e zenon_Ha0 zenon_H1d0 zenon_H134. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_L182_); trivial. % 0.92/1.12 apply (zenon_L187_); trivial. % 0.92/1.12 (* end of lemma zenon_L188_ *) % 0.92/1.12 assert (zenon_L189_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(hskp21)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc9 zenon_Hca zenon_H12 zenon_H8d zenon_Hdd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.92/1.12 apply (zenon_L184_); trivial. % 0.92/1.12 exact (zenon_Hdd zenon_Hde). % 0.92/1.12 (* end of lemma zenon_L189_ *) % 0.92/1.12 assert (zenon_L190_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc8 zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Ha0 zenon_H1d0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_L189_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 apply (zenon_L181_); trivial. % 0.92/1.12 (* end of lemma zenon_L190_ *) % 0.92/1.12 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp3)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H184 zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 0.92/1.12 apply (zenon_L117_); trivial. % 0.92/1.12 exact (zenon_H1 zenon_H2). % 0.92/1.12 (* end of lemma zenon_L191_ *) % 0.92/1.12 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a918))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_H21b zenon_H1 zenon_H1d0 zenon_Ha0 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc8 zenon_H168 zenon_H111. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_L190_); trivial. % 0.92/1.12 apply (zenon_L191_); trivial. % 0.92/1.12 (* end of lemma zenon_L192_ *) % 0.92/1.12 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H21b zenon_H1 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H111 zenon_H168 zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H12f zenon_H89 zenon_H21 zenon_H14c zenon_H139 zenon_H137 zenon_H75 zenon_H219 zenon_Hbe zenon_H196 zenon_H195. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.12 apply (zenon_L188_); trivial. % 0.92/1.12 apply (zenon_L192_); trivial. % 0.92/1.12 (* end of lemma zenon_L193_ *) % 0.92/1.12 assert (zenon_L194_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hee zenon_Heb zenon_Hed zenon_H12 zenon_Ha0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_L64_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 (* end of lemma zenon_L194_ *) % 0.92/1.12 assert (zenon_L195_ : (~(hskp16)) -> (hskp16) -> False). % 0.92/1.12 do 0 intro. intros zenon_H21d zenon_H21e. % 0.92/1.12 exact (zenon_H21d zenon_H21e). % 0.92/1.12 (* end of lemma zenon_L195_ *) % 0.92/1.12 assert (zenon_L196_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp4)) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp16)) -> (~(hskp9)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H21f zenon_Ha0 zenon_H12 zenon_Hed zenon_Hee zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d0 zenon_H21d zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Heb | zenon_intro zenon_H220 ]. % 0.92/1.12 apply (zenon_L194_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_He ]. % 0.92/1.12 exact (zenon_H21d zenon_H21e). % 0.92/1.12 exact (zenon_Hd zenon_He). % 0.92/1.12 (* end of lemma zenon_L196_ *) % 0.92/1.12 assert (zenon_L197_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H221 zenon_H12 zenon_H222 zenon_H223 zenon_H224. % 0.92/1.12 generalize (zenon_H221 (a923)). zenon_intro zenon_H225. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_H11 | zenon_intro zenon_H226 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H228 | zenon_intro zenon_H227 ]. % 0.92/1.12 exact (zenon_H222 zenon_H228). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 0.92/1.12 exact (zenon_H22a zenon_H223). % 0.92/1.12 exact (zenon_H229 zenon_H224). % 0.92/1.12 (* end of lemma zenon_L197_ *) % 0.92/1.12 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp14)) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp4)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H62 zenon_H222 zenon_H223 zenon_H224 zenon_H22b zenon_Ha0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 0.92/1.12 apply (zenon_L110_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 0.92/1.12 apply (zenon_L197_); trivial. % 0.92/1.12 exact (zenon_H62 zenon_H63). % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 (* end of lemma zenon_L198_ *) % 0.92/1.12 assert (zenon_L199_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H222 zenon_H223 zenon_H224 zenon_H62 zenon_H22b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.12 apply (zenon_L143_); trivial. % 0.92/1.12 apply (zenon_L198_); trivial. % 0.92/1.12 (* end of lemma zenon_L199_ *) % 0.92/1.12 assert (zenon_L200_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H22d zenon_Hee zenon_Hed zenon_Hf9 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H166. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H22e ]. % 0.92/1.12 apply (zenon_L66_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H187 | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 exact (zenon_H166 zenon_H167). % 0.92/1.12 (* end of lemma zenon_L200_ *) % 0.92/1.12 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H192 zenon_H196 zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_L200_); trivial. % 0.92/1.12 apply (zenon_L191_); trivial. % 0.92/1.12 (* end of lemma zenon_L201_ *) % 0.92/1.12 assert (zenon_L202_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp4)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hff zenon_Hfd zenon_Ha0 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d0 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.12 apply (zenon_L62_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.12 apply (zenon_L194_); trivial. % 0.92/1.12 apply (zenon_L66_); trivial. % 0.92/1.12 (* end of lemma zenon_L202_ *) % 0.92/1.12 assert (zenon_L203_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H102 zenon_Hfd zenon_Hf9 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hed zenon_Hee zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdd zenon_Hdf. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.12 apply (zenon_L61_); trivial. % 0.92/1.12 apply (zenon_L202_); trivial. % 0.92/1.12 (* end of lemma zenon_L203_ *) % 0.92/1.12 assert (zenon_L204_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_Hee zenon_Hed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hf9 zenon_Hfd zenon_H102. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_L203_); trivial. % 0.92/1.12 apply (zenon_L181_); trivial. % 0.92/1.12 (* end of lemma zenon_L204_ *) % 0.92/1.12 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hbe zenon_H219 zenon_H102 zenon_Hfd zenon_Hf9 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hed zenon_Hee zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_L204_); trivial. % 0.92/1.12 apply (zenon_L187_); trivial. % 0.92/1.12 (* end of lemma zenon_L205_ *) % 0.92/1.12 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_Hbe zenon_H219 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_H168 zenon_H111 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H22b zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H22d zenon_H1 zenon_H21b zenon_H196 zenon_H195 zenon_H22f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.92/1.12 apply (zenon_L196_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L199_); trivial. % 0.92/1.12 apply (zenon_L201_); trivial. % 0.92/1.12 apply (zenon_L205_); trivial. % 0.92/1.12 (* end of lemma zenon_L206_ *) % 0.92/1.12 assert (zenon_L207_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H115 zenon_Hdb zenon_Hdf zenon_H21f zenon_Hd zenon_H22b zenon_H22d zenon_H22f zenon_Hda zenon_H213 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H75 zenon_H139 zenon_H137 zenon_H1df zenon_H87 zenon_H12f zenon_H21 zenon_H14c zenon_H1e3 zenon_H25 zenon_H23 zenon_H1ed zenon_H14b zenon_Hbe zenon_H91 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H71 zenon_H37 zenon_H1 zenon_H7 zenon_H8b zenon_H209 zenon_H76 zenon_H20b zenon_H20d zenon_Hc4 zenon_H111 zenon_H20f zenon_H195 zenon_H196 zenon_H219 zenon_H168 zenon_H21b zenon_Hd9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_L177_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L179_); trivial. % 0.92/1.12 apply (zenon_L177_); trivial. % 0.92/1.12 apply (zenon_L193_); trivial. % 0.92/1.12 apply (zenon_L206_); trivial. % 0.92/1.12 (* end of lemma zenon_L207_ *) % 0.92/1.12 assert (zenon_L208_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (c1_1 (a957)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha7 zenon_H57 zenon_H4e zenon_H4c zenon_H4d zenon_H141 zenon_H140 zenon_H13f zenon_H12 zenon_H87. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.12 apply (zenon_L103_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.12 apply (zenon_L92_); trivial. % 0.92/1.12 exact (zenon_H87 zenon_H88). % 0.92/1.12 (* end of lemma zenon_L208_ *) % 0.92/1.12 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp1)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H148 zenon_H60 zenon_H87 zenon_H4d zenon_H4e zenon_H57 zenon_Ha7 zenon_H5c zenon_H5e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H4c | zenon_intro zenon_H61 ]. % 0.92/1.12 apply (zenon_L208_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5d | zenon_intro zenon_H5f ]. % 0.92/1.12 exact (zenon_H5c zenon_H5d). % 0.92/1.12 exact (zenon_H5e zenon_H5f). % 0.92/1.12 (* end of lemma zenon_L209_ *) % 0.92/1.12 assert (zenon_L210_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14b zenon_H60 zenon_H5e zenon_H4d zenon_H4e zenon_H57 zenon_H87 zenon_Ha7 zenon_H5c zenon_H9 zenon_H13d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 apply (zenon_L209_); trivial. % 0.92/1.12 (* end of lemma zenon_L210_ *) % 0.92/1.12 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H70 zenon_H14b zenon_Ha7 zenon_H87 zenon_H3c zenon_H3b zenon_H3a zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 apply (zenon_L93_); trivial. % 0.92/1.12 (* end of lemma zenon_L211_ *) % 0.92/1.12 assert (zenon_L212_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H75 zenon_H3c zenon_H3b zenon_H3a zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139 zenon_H13d zenon_H9 zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H14b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.12 apply (zenon_L210_); trivial. % 0.92/1.12 apply (zenon_L211_); trivial. % 0.92/1.12 (* end of lemma zenon_L212_ *) % 0.92/1.12 assert (zenon_L213_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hbe zenon_H91 zenon_H89 zenon_H8b zenon_H37 zenon_H35 zenon_H75 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139 zenon_H13d zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H14b zenon_H76 zenon_H62 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_Hc0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.12 apply (zenon_L20_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.12 apply (zenon_L212_); trivial. % 0.92/1.12 apply (zenon_L32_); trivial. % 0.92/1.12 apply (zenon_L39_); trivial. % 0.92/1.12 (* end of lemma zenon_L213_ *) % 0.92/1.12 assert (zenon_L214_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a913))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19a zenon_H12 zenon_H4d zenon_H4c zenon_H4e. % 0.92/1.12 generalize (zenon_H19a (a913)). zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H53 | zenon_intro zenon_H235 ]. % 0.92/1.12 exact (zenon_H4d zenon_H53). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H4f | zenon_intro zenon_H55 ]. % 0.92/1.12 apply (zenon_L23_); trivial. % 0.92/1.12 exact (zenon_H4e zenon_H55). % 0.92/1.12 (* end of lemma zenon_L214_ *) % 0.92/1.12 assert (zenon_L215_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H19a zenon_H12 zenon_H4d zenon_H4e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.12 apply (zenon_L40_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.12 apply (zenon_L170_); trivial. % 0.92/1.12 apply (zenon_L214_); trivial. % 0.92/1.12 (* end of lemma zenon_L215_ *) % 0.92/1.12 assert (zenon_L216_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H20d zenon_H4e zenon_H4d zenon_H19a zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H20b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.12 apply (zenon_L215_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 exact (zenon_H20b zenon_H20c). % 0.92/1.12 (* end of lemma zenon_L216_ *) % 0.92/1.12 assert (zenon_L217_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp31)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c3_1 (a978)) -> (c2_1 (a978)) -> (~(c0_1 (a978))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a4 zenon_H13b zenon_H1e3 zenon_H16 zenon_H2f zenon_H14 zenon_H20d zenon_H4e zenon_H4d zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H20b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 0.92/1.12 apply (zenon_L154_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 0.92/1.12 apply (zenon_L125_); trivial. % 0.92/1.12 apply (zenon_L216_); trivial. % 0.92/1.12 (* end of lemma zenon_L217_ *) % 0.92/1.12 assert (zenon_L218_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2b zenon_H75 zenon_H139 zenon_H137 zenon_H1dd zenon_H1df zenon_H1a4 zenon_H209 zenon_H4e zenon_H4d zenon_H1b7 zenon_H1b5 zenon_H99 zenon_H98 zenon_H97 zenon_H20b zenon_H20d zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_Ha7 zenon_H87 zenon_H57 zenon_H5e zenon_H60 zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L217_); trivial. % 0.92/1.12 apply (zenon_L209_); trivial. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 (* end of lemma zenon_L218_ *) % 0.92/1.12 assert (zenon_L219_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H76 zenon_H1fd zenon_H1fc zenon_H204 zenon_H57 zenon_H4e zenon_H4d zenon_H4c zenon_H12 zenon_H62. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.92/1.12 apply (zenon_L172_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.92/1.12 apply (zenon_L24_); trivial. % 0.92/1.12 exact (zenon_H62 zenon_H63). % 0.92/1.12 (* end of lemma zenon_L219_ *) % 0.92/1.12 assert (zenon_L220_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H76 zenon_H1fd zenon_H1fc zenon_H204 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H62. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.12 apply (zenon_L40_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.12 apply (zenon_L170_); trivial. % 0.92/1.12 apply (zenon_L219_); trivial. % 0.92/1.12 (* end of lemma zenon_L220_ *) % 0.92/1.12 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H204 zenon_H1fc zenon_H1fd zenon_H76 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 exact (zenon_H20b zenon_H20c). % 0.92/1.12 (* end of lemma zenon_L221_ *) % 0.92/1.12 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H210 zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 apply (zenon_L221_); trivial. % 0.92/1.12 (* end of lemma zenon_L222_ *) % 0.92/1.12 assert (zenon_L223_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H192 zenon_H20f zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hbe zenon_H91 zenon_H89 zenon_H8b zenon_H37 zenon_H75 zenon_H1e3 zenon_H137 zenon_H139 zenon_H13d zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H14b zenon_H76 zenon_H62 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_Hc0 zenon_H1df zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H1a4 zenon_Hc4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L213_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.12 apply (zenon_L210_); trivial. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L218_); trivial. % 0.92/1.12 apply (zenon_L222_); trivial. % 0.92/1.12 (* end of lemma zenon_L223_ *) % 0.92/1.12 assert (zenon_L224_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp15)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H195 zenon_H20f zenon_Hbe zenon_H91 zenon_H89 zenon_H8b zenon_H37 zenon_H75 zenon_H1e3 zenon_H137 zenon_H139 zenon_H13d zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H60 zenon_H14b zenon_H76 zenon_H62 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_Hc0 zenon_H1df zenon_H20d zenon_H20b zenon_H209 zenon_H1a4 zenon_Hc4 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d1 zenon_H27 zenon_H5e zenon_Ha0 zenon_H1d0 zenon_H134. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_L223_); trivial. % 0.92/1.12 (* end of lemma zenon_L224_ *) % 0.92/1.12 assert (zenon_L225_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.12 apply (zenon_L143_); trivial. % 0.92/1.12 apply (zenon_L167_); trivial. % 0.92/1.12 (* end of lemma zenon_L225_ *) % 0.92/1.12 assert (zenon_L226_ : (~(hskp2)) -> (hskp2) -> False). % 0.92/1.12 do 0 intro. intros zenon_H236 zenon_H237. % 0.92/1.12 exact (zenon_H236 zenon_H237). % 0.92/1.12 (* end of lemma zenon_L226_ *) % 0.92/1.12 assert (zenon_L227_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H238 zenon_He4 zenon_He3 zenon_He2 zenon_H12 zenon_H14e zenon_H236. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_He1 | zenon_intro zenon_H239 ]. % 0.92/1.12 apply (zenon_L62_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H14f | zenon_intro zenon_H237 ]. % 0.92/1.12 exact (zenon_H14e zenon_H14f). % 0.92/1.12 exact (zenon_H236 zenon_H237). % 0.92/1.12 (* end of lemma zenon_L227_ *) % 0.92/1.12 assert (zenon_L228_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a900)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1e5 zenon_H12 zenon_H15a zenon_H158 zenon_H159. % 0.92/1.12 generalize (zenon_H1e5 (a900)). zenon_intro zenon_H23a. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H165 | zenon_intro zenon_H161 ]. % 0.92/1.12 exact (zenon_H165 zenon_H15a). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 0.92/1.12 exact (zenon_H164 zenon_H158). % 0.92/1.12 exact (zenon_H163 zenon_H159). % 0.92/1.12 (* end of lemma zenon_L228_ *) % 0.92/1.12 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp21)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hdd. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.92/1.12 apply (zenon_L228_); trivial. % 0.92/1.12 exact (zenon_Hdd zenon_Hde). % 0.92/1.12 (* end of lemma zenon_L229_ *) % 0.92/1.12 assert (zenon_L230_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c0_1 (a900)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_Ha7 zenon_H57 zenon_H4e zenon_H4d zenon_H166 zenon_H12 zenon_H103 zenon_H104 zenon_H105 zenon_H158 zenon_H159 zenon_H15a zenon_H168 zenon_H87. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.12 apply (zenon_L40_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.12 apply (zenon_L170_); trivial. % 0.92/1.12 apply (zenon_L106_); trivial. % 0.92/1.12 (* end of lemma zenon_L230_ *) % 0.92/1.12 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp18)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H20d zenon_H87 zenon_H168 zenon_H105 zenon_H104 zenon_H103 zenon_H166 zenon_H4d zenon_H4e zenon_H57 zenon_Ha7 zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.12 apply (zenon_L230_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 exact (zenon_H20b zenon_H20c). % 0.92/1.12 (* end of lemma zenon_L231_ *) % 0.92/1.12 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H16a zenon_H20d zenon_H20b zenon_Ha7 zenon_H166 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_H236 zenon_H238 zenon_H188 zenon_H189 zenon_H18a zenon_H191 zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H91 zenon_Hbe. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L169_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.12 apply (zenon_L121_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L227_); trivial. % 0.92/1.12 apply (zenon_L231_); trivial. % 0.92/1.12 (* end of lemma zenon_L232_ *) % 0.92/1.12 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H192 zenon_H196 zenon_H21b zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_H238 zenon_H236 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H16a zenon_H102 zenon_Hbe zenon_H91 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H191 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_Ha7 zenon_H20b zenon_H20d zenon_Hc4 zenon_H111. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L227_); trivial. % 0.92/1.12 apply (zenon_L229_); trivial. % 0.92/1.12 apply (zenon_L167_); trivial. % 0.92/1.12 apply (zenon_L232_); trivial. % 0.92/1.12 apply (zenon_L191_); trivial. % 0.92/1.12 (* end of lemma zenon_L233_ *) % 0.92/1.12 assert (zenon_L234_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H57 zenon_H4e zenon_H4d zenon_H4c zenon_H12 zenon_H166. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 0.92/1.12 apply (zenon_L180_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L24_); trivial. % 0.92/1.12 exact (zenon_H166 zenon_H167). % 0.92/1.12 (* end of lemma zenon_L234_ *) % 0.92/1.12 assert (zenon_L235_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H166. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.12 apply (zenon_L40_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.12 apply (zenon_L170_); trivial. % 0.92/1.12 apply (zenon_L234_); trivial. % 0.92/1.12 (* end of lemma zenon_L235_ *) % 0.92/1.12 assert (zenon_L236_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a918))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (c3_1 (a918)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H43 zenon_H12 zenon_Hc8 zenon_Hf8 zenon_Hc9. % 0.92/1.12 generalize (zenon_H43 (a918)). zenon_intro zenon_Hcf. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd0 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.92/1.12 exact (zenon_Hc8 zenon_Hd2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 generalize (zenon_Hf8 (a918)). zenon_intro zenon_H23c. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H11 | zenon_intro zenon_H23d ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H23e ]. % 0.92/1.12 exact (zenon_Hc8 zenon_Hd2). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hce | zenon_intro zenon_Hd3 ]. % 0.92/1.12 exact (zenon_Hd4 zenon_Hce). % 0.92/1.12 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.12 exact (zenon_Hd3 zenon_Hc9). % 0.92/1.12 (* end of lemma zenon_L236_ *) % 0.92/1.12 assert (zenon_L237_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a918)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp17)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ce zenon_Hc9 zenon_Hf8 zenon_Hc8 zenon_H12 zenon_H3 zenon_H150. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H43 | zenon_intro zenon_H1cf ]. % 0.92/1.12 apply (zenon_L236_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H4 | zenon_intro zenon_H151 ]. % 0.92/1.12 exact (zenon_H3 zenon_H4). % 0.92/1.12 exact (zenon_H150 zenon_H151). % 0.92/1.12 (* end of lemma zenon_L237_ *) % 0.92/1.12 assert (zenon_L238_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp18)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (c0_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(hskp24)) -> (~(hskp17)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H166 zenon_H4d zenon_H4e zenon_H57 zenon_Hca zenon_H168 zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H1ce zenon_Hc9 zenon_Hc8 zenon_H3 zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.12 apply (zenon_L62_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.12 apply (zenon_L235_); trivial. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 (* end of lemma zenon_L238_ *) % 0.92/1.12 assert (zenon_L239_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp18)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp4)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H57 zenon_H4e zenon_H4d zenon_H166 zenon_H16b zenon_Ha0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.12 apply (zenon_L110_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L234_); trivial. % 0.92/1.12 apply (zenon_L78_); trivial. % 0.92/1.12 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.12 (* end of lemma zenon_L239_ *) % 0.92/1.12 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a907))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha4 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H16b zenon_H1b6 zenon_H7 zenon_H1 zenon_H209 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H1ce zenon_H150 zenon_Hfd zenon_H102. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L238_); trivial. % 0.92/1.12 apply (zenon_L239_); trivial. % 0.92/1.12 (* end of lemma zenon_L240_ *) % 0.92/1.12 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp18)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H166 zenon_H4d zenon_H4e zenon_H57 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.12 apply (zenon_L235_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 exact (zenon_H20b zenon_H20c). % 0.92/1.12 (* end of lemma zenon_L241_ *) % 0.92/1.12 assert (zenon_L242_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_Hbe. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L56_); trivial. % 0.92/1.12 apply (zenon_L241_); trivial. % 0.92/1.12 (* end of lemma zenon_L242_ *) % 0.92/1.12 assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(c1_1 (a907))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H192 zenon_H196 zenon_H1b6 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H87 zenon_H89 zenon_H8b zenon_H37 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_L242_); trivial. % 0.92/1.12 apply (zenon_L187_); trivial. % 0.92/1.12 (* end of lemma zenon_L243_ *) % 0.92/1.12 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a907))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H20b zenon_H20d zenon_Hc4 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H16b zenon_H1b6 zenon_H7 zenon_H1 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H1ce zenon_Hfd zenon_H102 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_Hbe zenon_H219 zenon_H196. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L56_); trivial. % 0.92/1.12 apply (zenon_L240_); trivial. % 0.92/1.12 apply (zenon_L187_); trivial. % 0.92/1.12 apply (zenon_L243_); trivial. % 0.92/1.12 (* end of lemma zenon_L244_ *) % 0.92/1.12 assert (zenon_L245_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H22b zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H191 zenon_Hfd zenon_H102 zenon_H195 zenon_H22f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.92/1.12 apply (zenon_L196_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.12 apply (zenon_L199_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.12 apply (zenon_L121_); trivial. % 0.92/1.12 apply (zenon_L202_); trivial. % 0.92/1.12 apply (zenon_L205_); trivial. % 0.92/1.12 (* end of lemma zenon_L245_ *) % 0.92/1.12 assert (zenon_L246_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp21)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H148 zenon_H25 zenon_Hdd zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H21 zenon_H23. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H13 | zenon_intro zenon_H26 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 0.92/1.12 apply (zenon_L126_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 0.92/1.12 generalize (zenon_H13 (a957)). zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H1eb ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1ec ]. % 0.92/1.12 generalize (zenon_H241 (a957)). zenon_intro zenon_H242. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H11 | zenon_intro zenon_H243 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H244 ]. % 0.92/1.12 exact (zenon_H1e9 zenon_H1e6). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 0.92/1.12 exact (zenon_H145 zenon_H13f). % 0.92/1.12 exact (zenon_H147 zenon_H140). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H145 | zenon_intro zenon_H146 ]. % 0.92/1.12 exact (zenon_H145 zenon_H13f). % 0.92/1.12 exact (zenon_H146 zenon_H141). % 0.92/1.12 exact (zenon_Hdd zenon_Hde). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H22 | zenon_intro zenon_H24 ]. % 0.92/1.12 exact (zenon_H21 zenon_H22). % 0.92/1.12 exact (zenon_H23 zenon_H24). % 0.92/1.12 (* end of lemma zenon_L246_ *) % 0.92/1.12 assert (zenon_L247_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_Hdd zenon_H23f zenon_H5c zenon_H9 zenon_H13d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 apply (zenon_L246_); trivial. % 0.92/1.12 (* end of lemma zenon_L247_ *) % 0.92/1.12 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp28)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H70 zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H14e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H43 | zenon_intro zenon_H246 ]. % 0.92/1.12 apply (zenon_L133_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H64 | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L29_); trivial. % 0.92/1.12 exact (zenon_H14e zenon_H14f). % 0.92/1.12 (* end of lemma zenon_L248_ *) % 0.92/1.12 assert (zenon_L249_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H75 zenon_H245 zenon_H14e zenon_H1c0 zenon_H1bf zenon_H1be zenon_H13d zenon_H9 zenon_H23f zenon_Hdd zenon_H19d zenon_H19c zenon_H19b zenon_H21 zenon_H23 zenon_H25 zenon_H14b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.12 apply (zenon_L247_); trivial. % 0.92/1.12 apply (zenon_L248_); trivial. % 0.92/1.12 (* end of lemma zenon_L249_ *) % 0.92/1.12 assert (zenon_L250_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (c0_1 (a900)) -> (c2_1 (a900)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H178 zenon_H12 zenon_H241 zenon_H15a zenon_H158. % 0.92/1.12 generalize (zenon_H178 (a900)). zenon_intro zenon_H247. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H11 | zenon_intro zenon_H248 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H15e | zenon_intro zenon_H249 ]. % 0.92/1.12 generalize (zenon_H241 (a900)). zenon_intro zenon_H24a. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H11 | zenon_intro zenon_H24b ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H165 | zenon_intro zenon_H24c ]. % 0.92/1.12 exact (zenon_H165 zenon_H15a). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ]. % 0.92/1.12 exact (zenon_H162 zenon_H15e). % 0.92/1.12 exact (zenon_H164 zenon_H158). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.92/1.12 exact (zenon_H165 zenon_H15a). % 0.92/1.12 exact (zenon_H164 zenon_H158). % 0.92/1.12 (* end of lemma zenon_L250_ *) % 0.92/1.12 assert (zenon_L251_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (c2_1 (a900)) -> (c0_1 (a900)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (~(hskp21)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_H158 zenon_H15a zenon_H12 zenon_H178 zenon_Hdd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 0.92/1.12 apply (zenon_L126_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 0.92/1.12 apply (zenon_L250_); trivial. % 0.92/1.12 exact (zenon_Hdd zenon_Hde). % 0.92/1.12 (* end of lemma zenon_L251_ *) % 0.92/1.12 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp21)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp3)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hdd zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 0.92/1.12 apply (zenon_L251_); trivial. % 0.92/1.12 exact (zenon_H1 zenon_H2). % 0.92/1.12 (* end of lemma zenon_L252_ *) % 0.92/1.12 assert (zenon_L253_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp31)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c3_1 (a978)) -> (c2_1 (a978)) -> (~(c0_1 (a978))) -> (ndr1_0) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a4 zenon_H13b zenon_H188 zenon_H18a zenon_H189 zenon_H1e3 zenon_H16 zenon_H2f zenon_H14 zenon_H12 zenon_H19b zenon_H19c zenon_H19d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 0.92/1.12 apply (zenon_L154_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 0.92/1.12 apply (zenon_L125_); trivial. % 0.92/1.12 apply (zenon_L126_); trivial. % 0.92/1.12 (* end of lemma zenon_L253_ *) % 0.92/1.12 assert (zenon_L254_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2b zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_Hdd zenon_H23f zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L253_); trivial. % 0.92/1.12 apply (zenon_L246_); trivial. % 0.92/1.12 (* end of lemma zenon_L254_ *) % 0.92/1.12 assert (zenon_L255_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hbf zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H1a4 zenon_H75 zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H13d zenon_H23f zenon_Hdd zenon_H19d zenon_H19c zenon_H19b zenon_H21 zenon_H23 zenon_H25 zenon_H14b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1 zenon_H21b zenon_H16a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L249_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 (* end of lemma zenon_L255_ *) % 0.92/1.12 assert (zenon_L256_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> (~(hskp31)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H24d zenon_H13b zenon_H188 zenon_H18a zenon_H189 zenon_H1e3 zenon_H19d zenon_H19c zenon_H19b zenon_H12 zenon_H23. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H125 | zenon_intro zenon_H24e ]. % 0.92/1.12 apply (zenon_L154_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H19a | zenon_intro zenon_H24 ]. % 0.92/1.12 apply (zenon_L126_); trivial. % 0.92/1.12 exact (zenon_H23 zenon_H24). % 0.92/1.12 (* end of lemma zenon_L256_ *) % 0.92/1.12 assert (zenon_L257_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a957)) -> (c3_1 (a957)) -> (c1_1 (a957)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H44 zenon_H12 zenon_H1e5 zenon_H140 zenon_H141 zenon_H13f. % 0.92/1.12 generalize (zenon_H44 (a957)). zenon_intro zenon_H24f. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H11 | zenon_intro zenon_H250 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H244 ]. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 0.92/1.12 exact (zenon_H145 zenon_H13f). % 0.92/1.12 exact (zenon_H147 zenon_H140). % 0.92/1.12 (* end of lemma zenon_L257_ *) % 0.92/1.12 assert (zenon_L258_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp14)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H148 zenon_H76 zenon_H236 zenon_H89 zenon_H251 zenon_H105 zenon_H104 zenon_H103 zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H252 ]. % 0.92/1.12 apply (zenon_L257_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H237 ]. % 0.92/1.12 exact (zenon_H89 zenon_H8a). % 0.92/1.12 exact (zenon_H236 zenon_H237). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.92/1.12 apply (zenon_L71_); trivial. % 0.92/1.12 exact (zenon_H62 zenon_H63). % 0.92/1.12 (* end of lemma zenon_L258_ *) % 0.92/1.12 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H89 zenon_H236 zenon_H251 zenon_H24d zenon_H16a zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.12 apply (zenon_L255_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L256_); trivial. % 0.92/1.12 apply (zenon_L258_); trivial. % 0.92/1.12 (* end of lemma zenon_L259_ *) % 0.92/1.12 assert (zenon_L260_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a953))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a953)) -> (c1_1 (a953)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1d9 zenon_H12 zenon_H11a zenon_Heb zenon_H11c zenon_H11b. % 0.92/1.12 generalize (zenon_H1d9 (a953)). zenon_intro zenon_H253. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H11 | zenon_intro zenon_H254 ]. % 0.92/1.12 exact (zenon_H11 zenon_H12). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H120 | zenon_intro zenon_H255 ]. % 0.92/1.12 exact (zenon_H11a zenon_H120). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H170 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L109_); trivial. % 0.92/1.12 exact (zenon_H122 zenon_H11b). % 0.92/1.12 (* end of lemma zenon_L260_ *) % 0.92/1.12 assert (zenon_L261_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> (~(c2_1 (a953))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp15)) -> (~(hskp5)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1d1 zenon_H11b zenon_H11c zenon_H11a zenon_H12 zenon_H1d9 zenon_H5e zenon_H27. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Heb | zenon_intro zenon_H1d3 ]. % 0.92/1.12 apply (zenon_L260_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H5f | zenon_intro zenon_H28 ]. % 0.92/1.12 exact (zenon_H5e zenon_H5f). % 0.92/1.12 exact (zenon_H27 zenon_H28). % 0.92/1.12 (* end of lemma zenon_L261_ *) % 0.92/1.12 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp5)) -> (~(hskp15)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H27 zenon_H5e zenon_H1d1 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H256 zenon_Ha0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 0.92/1.13 apply (zenon_L110_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 0.92/1.13 apply (zenon_L180_); trivial. % 0.92/1.13 apply (zenon_L261_); trivial. % 0.92/1.13 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.13 (* end of lemma zenon_L262_ *) % 0.92/1.13 assert (zenon_L263_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H22d zenon_Hc9 zenon_Hc8 zenon_H43 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H166. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H22e ]. % 0.92/1.13 apply (zenon_L236_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H187 | zenon_intro zenon_H167 ]. % 0.92/1.13 apply (zenon_L120_); trivial. % 0.92/1.13 exact (zenon_H166 zenon_H167). % 0.92/1.13 (* end of lemma zenon_L263_ *) % 0.92/1.13 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp18)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (~(hskp28)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H70 zenon_H245 zenon_H166 zenon_H188 zenon_H189 zenon_H18a zenon_Hc8 zenon_Hc9 zenon_H22d zenon_H14e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H43 | zenon_intro zenon_H246 ]. % 0.92/1.13 apply (zenon_L263_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H64 | zenon_intro zenon_H14f ]. % 0.92/1.13 apply (zenon_L29_); trivial. % 0.92/1.13 exact (zenon_H14e zenon_H14f). % 0.92/1.13 (* end of lemma zenon_L264_ *) % 0.92/1.13 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a918))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_Hbe zenon_H219 zenon_H1d0 zenon_Ha0 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc8 zenon_H168 zenon_H111. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_L190_); trivial. % 0.92/1.13 apply (zenon_L187_); trivial. % 0.92/1.13 (* end of lemma zenon_L265_ *) % 0.92/1.13 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H1ed zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H1d1 zenon_H27 zenon_H256 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H111 zenon_H168 zenon_H16a zenon_H21b zenon_H1 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H22d zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf zenon_H219 zenon_Hbe zenon_H196 zenon_H195. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.13 apply (zenon_L143_); trivial. % 0.92/1.13 apply (zenon_L262_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.13 apply (zenon_L247_); trivial. % 0.92/1.13 apply (zenon_L264_); trivial. % 0.92/1.13 apply (zenon_L252_); trivial. % 0.92/1.13 apply (zenon_L254_); trivial. % 0.92/1.13 apply (zenon_L181_); trivial. % 0.92/1.13 apply (zenon_L187_); trivial. % 0.92/1.13 apply (zenon_L265_); trivial. % 0.92/1.13 (* end of lemma zenon_L266_ *) % 0.92/1.13 assert (zenon_L267_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H102 zenon_H16a zenon_H21b zenon_H19b zenon_H19c zenon_H19d zenon_Hdd zenon_H23f zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H236 zenon_H238 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_L227_); trivial. % 0.92/1.13 apply (zenon_L252_); trivial. % 0.92/1.13 (* end of lemma zenon_L267_ *) % 0.92/1.13 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H117 zenon_H115 zenon_Hd9 zenon_H219 zenon_Hdb zenon_Hdf zenon_H21f zenon_Hd zenon_Ha0 zenon_H1d0 zenon_H22b zenon_H22f zenon_H134 zenon_H8b zenon_H87 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_Ha7 zenon_H168 zenon_H209 zenon_H191 zenon_H37 zenon_H71 zenon_Hfd zenon_Hc0 zenon_H91 zenon_Hbe zenon_H102 zenon_H16a zenon_H21b zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H236 zenon_H238 zenon_H1 zenon_H7 zenon_H196 zenon_H195. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_L225_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.13 apply (zenon_L267_); trivial. % 0.92/1.13 apply (zenon_L167_); trivial. % 0.92/1.13 apply (zenon_L232_); trivial. % 0.92/1.13 apply (zenon_L191_); trivial. % 0.92/1.13 apply (zenon_L245_); trivial. % 0.92/1.13 (* end of lemma zenon_L268_ *) % 0.92/1.13 assert (zenon_L269_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H22b zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H191 zenon_Hfd zenon_H102 zenon_H195 zenon_H22f zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_L245_); trivial. % 0.92/1.13 (* end of lemma zenon_L269_ *) % 0.92/1.13 assert (zenon_L270_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H75 zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H13d zenon_H9 zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H14b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.13 apply (zenon_L210_); trivial. % 0.92/1.13 apply (zenon_L95_); trivial. % 0.92/1.13 (* end of lemma zenon_L270_ *) % 0.92/1.13 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H192 zenon_H20f zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hbe zenon_H91 zenon_H89 zenon_H8b zenon_H37 zenon_H75 zenon_H1e3 zenon_H137 zenon_H139 zenon_H13d zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H14b zenon_H76 zenon_H62 zenon_H71 zenon_H6e zenon_Hd zenon_Hbf zenon_Hc0 zenon_H128 zenon_H127 zenon_H126 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H1a4 zenon_H1df zenon_Hc4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L213_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.13 apply (zenon_L270_); trivial. % 0.92/1.13 apply (zenon_L218_); trivial. % 0.92/1.13 apply (zenon_L222_); trivial. % 0.92/1.13 (* end of lemma zenon_L271_ *) % 0.92/1.13 assert (zenon_L272_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hbe zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H37 zenon_H35 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.13 apply (zenon_L53_); trivial. % 0.92/1.13 apply (zenon_L88_); trivial. % 0.92/1.13 (* end of lemma zenon_L272_ *) % 0.92/1.13 assert (zenon_L273_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a907))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha4 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H16b zenon_H1b6 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H209 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H1ce zenon_H150 zenon_Hfd zenon_H102. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L61_); trivial. % 0.92/1.13 apply (zenon_L238_); trivial. % 0.92/1.13 apply (zenon_L239_); trivial. % 0.92/1.13 (* end of lemma zenon_L273_ *) % 0.92/1.13 assert (zenon_L274_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c1_1 (a907))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H87 zenon_H89 zenon_H8b zenon_H20b zenon_H20d zenon_H111 zenon_Hbe zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_H102 zenon_Hfd zenon_H1ce zenon_H1b5 zenon_H1b7 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hdb zenon_Hdf zenon_H1b6 zenon_H16b zenon_Ha0 zenon_H1d0 zenon_H134 zenon_Hc4 zenon_H219 zenon_H196. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L272_); trivial. % 0.92/1.13 apply (zenon_L273_); trivial. % 0.92/1.13 apply (zenon_L181_); trivial. % 0.92/1.13 apply (zenon_L187_); trivial. % 0.92/1.13 apply (zenon_L243_); trivial. % 0.92/1.13 (* end of lemma zenon_L274_ *) % 0.92/1.13 assert (zenon_L275_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H116 zenon_Hda zenon_H14c zenon_H8b zenon_H87 zenon_Hc4 zenon_H1df zenon_H1a4 zenon_H209 zenon_H20b zenon_H20d zenon_Hc0 zenon_Hbf zenon_H6e zenon_H71 zenon_H76 zenon_H14b zenon_H60 zenon_Ha7 zenon_H13d zenon_H139 zenon_H137 zenon_H1e3 zenon_H75 zenon_H37 zenon_H91 zenon_H20f zenon_H16b zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_H22f zenon_H195 zenon_H102 zenon_Hfd zenon_H191 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H22b zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hd zenon_H21f zenon_H111 zenon_H168 zenon_Hdf zenon_Hdb zenon_H219 zenon_Hbe zenon_H196 zenon_Hd9 zenon_H115. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.13 apply (zenon_L269_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_L225_); trivial. % 0.92/1.13 apply (zenon_L271_); trivial. % 0.92/1.13 apply (zenon_L98_); trivial. % 0.92/1.13 apply (zenon_L274_); trivial. % 0.92/1.13 apply (zenon_L245_); trivial. % 0.92/1.13 (* end of lemma zenon_L275_ *) % 0.92/1.13 assert (zenon_L276_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Heb zenon_H12 zenon_H258 zenon_H259 zenon_H25a. % 0.92/1.13 generalize (zenon_Heb (a908)). zenon_intro zenon_H25b. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H11 | zenon_intro zenon_H25c ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ]. % 0.92/1.13 exact (zenon_H258 zenon_H25e). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 0.92/1.13 exact (zenon_H259 zenon_H260). % 0.92/1.13 exact (zenon_H25f zenon_H25a). % 0.92/1.13 (* end of lemma zenon_L276_ *) % 0.92/1.13 assert (zenon_L277_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp5)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1d1 zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H5e zenon_H27. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Heb | zenon_intro zenon_H1d3 ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H5f | zenon_intro zenon_H28 ]. % 0.92/1.13 exact (zenon_H5e zenon_H5f). % 0.92/1.13 exact (zenon_H27 zenon_H28). % 0.92/1.13 (* end of lemma zenon_L277_ *) % 0.92/1.13 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp4)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc5 zenon_H213 zenon_H25a zenon_H259 zenon_H258 zenon_Ha0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Heb | zenon_intro zenon_H214 ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Ha1 ]. % 0.92/1.13 apply (zenon_L45_); trivial. % 0.92/1.13 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.13 (* end of lemma zenon_L278_ *) % 0.92/1.13 assert (zenon_L279_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (ndr1_0) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hda zenon_H213 zenon_Ha0 zenon_H12 zenon_H258 zenon_H259 zenon_H25a zenon_H27 zenon_H1d1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.13 apply (zenon_L277_); trivial. % 0.92/1.13 apply (zenon_L278_); trivial. % 0.92/1.13 (* end of lemma zenon_L279_ *) % 0.92/1.13 assert (zenon_L280_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H261 zenon_Hda zenon_H213 zenon_Ha0 zenon_H27 zenon_H1d1. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 0.92/1.13 apply (zenon_L279_); trivial. % 0.92/1.13 (* end of lemma zenon_L280_ *) % 0.92/1.13 assert (zenon_L281_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H13 zenon_H12 zenon_H264 zenon_H265 zenon_H266. % 0.92/1.13 generalize (zenon_H13 (a905)). zenon_intro zenon_H267. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H11 | zenon_intro zenon_H268 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 0.92/1.13 exact (zenon_H264 zenon_H26a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.92/1.13 exact (zenon_H26c zenon_H265). % 0.92/1.13 exact (zenon_H26b zenon_H266). % 0.92/1.13 (* end of lemma zenon_L281_ *) % 0.92/1.13 assert (zenon_L282_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H12 zenon_H21 zenon_H23. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H13 | zenon_intro zenon_H26 ]. % 0.92/1.13 apply (zenon_L281_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H22 | zenon_intro zenon_H24 ]. % 0.92/1.13 exact (zenon_H21 zenon_H22). % 0.92/1.13 exact (zenon_H23 zenon_H24). % 0.92/1.13 (* end of lemma zenon_L282_ *) % 0.92/1.13 assert (zenon_L283_ : (forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70)))))) -> (ndr1_0) -> (c1_1 (a905)) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c3_1 (a905)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Haa zenon_H12 zenon_H265 zenon_H78 zenon_H266. % 0.92/1.13 generalize (zenon_Haa (a905)). zenon_intro zenon_H26d. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H26c | zenon_intro zenon_H26f ]. % 0.92/1.13 exact (zenon_H26c zenon_H265). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H26b ]. % 0.92/1.13 generalize (zenon_H78 (a905)). zenon_intro zenon_H271. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H11 | zenon_intro zenon_H272 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H273 | zenon_intro zenon_H269 ]. % 0.92/1.13 exact (zenon_H270 zenon_H273). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.92/1.13 exact (zenon_H26c zenon_H265). % 0.92/1.13 exact (zenon_H26b zenon_H266). % 0.92/1.13 exact (zenon_H26b zenon_H266). % 0.92/1.13 (* end of lemma zenon_L283_ *) % 0.92/1.13 assert (zenon_L284_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a905)) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c1_1 (a905)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha7 zenon_H3c zenon_H3b zenon_H3a zenon_H266 zenon_H78 zenon_H265 zenon_H12 zenon_H87. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.13 apply (zenon_L21_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.13 apply (zenon_L283_); trivial. % 0.92/1.13 exact (zenon_H87 zenon_H88). % 0.92/1.13 (* end of lemma zenon_L284_ *) % 0.92/1.13 assert (zenon_L285_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_H8b zenon_H265 zenon_H266 zenon_Ha7 zenon_H87 zenon_H89. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 0.92/1.13 apply (zenon_L284_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 0.92/1.13 exact (zenon_H87 zenon_H88). % 0.92/1.13 exact (zenon_H89 zenon_H8a). % 0.92/1.13 (* end of lemma zenon_L285_ *) % 0.92/1.13 assert (zenon_L286_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc0 zenon_H8b zenon_H89 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H31 zenon_H35 zenon_H37. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L20_); trivial. % 0.92/1.13 apply (zenon_L285_); trivial. % 0.92/1.13 (* end of lemma zenon_L286_ *) % 0.92/1.13 assert (zenon_L287_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hbe zenon_H91 zenon_H37 zenon_H35 zenon_Ha7 zenon_H87 zenon_H266 zenon_H265 zenon_H89 zenon_H8b zenon_Hc0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.13 apply (zenon_L286_); trivial. % 0.92/1.13 apply (zenon_L39_); trivial. % 0.92/1.13 (* end of lemma zenon_L287_ *) % 0.92/1.13 assert (zenon_L288_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H8b zenon_H89 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L287_); trivial. % 0.92/1.13 apply (zenon_L43_); trivial. % 0.92/1.13 (* end of lemma zenon_L288_ *) % 0.92/1.13 assert (zenon_L289_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H91 zenon_H57 zenon_H4e zenon_H4c zenon_H4d zenon_H7a zenon_H7b zenon_H79 zenon_H12 zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.13 apply (zenon_L103_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.13 apply (zenon_L37_); trivial. % 0.92/1.13 exact (zenon_H35 zenon_H36). % 0.92/1.13 (* end of lemma zenon_L289_ *) % 0.92/1.13 assert (zenon_L290_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a911)) -> (c3_1 (a911)) -> (c1_1 (a911)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1d9 zenon_H12 zenon_H1e5 zenon_H65 zenon_H67 zenon_H66. % 0.92/1.13 generalize (zenon_H1d9 (a911)). zenon_intro zenon_H274. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_H11 | zenon_intro zenon_H275 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.92/1.13 generalize (zenon_H1e5 (a911)). zenon_intro zenon_H278. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H11 | zenon_intro zenon_H279 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H6b | zenon_intro zenon_H27a ]. % 0.92/1.13 exact (zenon_H6b zenon_H65). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H6c ]. % 0.92/1.13 exact (zenon_H27b zenon_H277). % 0.92/1.13 exact (zenon_H6c zenon_H67). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H6b | zenon_intro zenon_H6d ]. % 0.92/1.13 exact (zenon_H6b zenon_H65). % 0.92/1.13 exact (zenon_H6d zenon_H66). % 0.92/1.13 (* end of lemma zenon_L290_ *) % 0.92/1.13 assert (zenon_L291_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H27c zenon_Hee zenon_Heb zenon_Hed zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H1d9 zenon_Hdb. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H8d | zenon_intro zenon_H27d ]. % 0.92/1.13 apply (zenon_L64_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hdc ]. % 0.92/1.13 apply (zenon_L290_); trivial. % 0.92/1.13 exact (zenon_Hdb zenon_Hdc). % 0.92/1.13 (* end of lemma zenon_L291_ *) % 0.92/1.13 assert (zenon_L292_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (~(hskp0)) -> (ndr1_0) -> (c0_1 (a911)) -> (c3_1 (a911)) -> (c1_1 (a911)) -> (~(c2_1 (a914))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp21)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H39 zenon_Hdb zenon_H12 zenon_H65 zenon_H67 zenon_H66 zenon_Hed zenon_Heb zenon_Hee zenon_H27c zenon_Hdd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.92/1.13 apply (zenon_L103_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.92/1.13 apply (zenon_L291_); trivial. % 0.92/1.13 exact (zenon_Hdd zenon_Hde). % 0.92/1.13 (* end of lemma zenon_L292_ *) % 0.92/1.13 assert (zenon_L293_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (~(hskp0)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H91 zenon_Hdd zenon_H27c zenon_H66 zenon_H67 zenon_H65 zenon_Hdb zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_Hee zenon_Heb zenon_Hed zenon_H12 zenon_H35. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.13 apply (zenon_L292_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.13 apply (zenon_L64_); trivial. % 0.92/1.13 exact (zenon_H35 zenon_H36). % 0.92/1.13 (* end of lemma zenon_L293_ *) % 0.92/1.13 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H70 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H35 zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_Hdb zenon_H27c zenon_Hdd zenon_H91 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L62_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.13 apply (zenon_L293_); trivial. % 0.92/1.13 apply (zenon_L66_); trivial. % 0.92/1.13 (* end of lemma zenon_L294_ *) % 0.92/1.13 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H93 zenon_H102 zenon_H75 zenon_Hfd zenon_Hf9 zenon_H27e zenon_Hed zenon_Hee zenon_H27c zenon_H91 zenon_H35 zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_Hdb zenon_Hdd zenon_Hdf. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L61_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H4c | zenon_intro zenon_H61 ]. % 0.92/1.13 apply (zenon_L289_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5d | zenon_intro zenon_H5f ]. % 0.92/1.13 exact (zenon_H5c zenon_H5d). % 0.92/1.13 exact (zenon_H5e zenon_H5f). % 0.92/1.13 apply (zenon_L294_); trivial. % 0.92/1.13 (* end of lemma zenon_L295_ *) % 0.92/1.13 assert (zenon_L296_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H111 zenon_H10c zenon_H23 zenon_Hbe zenon_H75 zenon_H27e zenon_H27c zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_Hdf zenon_Hdb zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.13 apply (zenon_L115_); trivial. % 0.92/1.13 apply (zenon_L295_); trivial. % 0.92/1.13 apply (zenon_L43_); trivial. % 0.92/1.13 apply (zenon_L73_); trivial. % 0.92/1.13 (* end of lemma zenon_L296_ *) % 0.92/1.13 assert (zenon_L297_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H16a zenon_H1ed zenon_Hdd zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H35 zenon_H150 zenon_H152. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_L102_); trivial. % 0.92/1.13 apply (zenon_L229_); trivial. % 0.92/1.13 (* end of lemma zenon_L297_ *) % 0.92/1.13 assert (zenon_L298_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L297_); trivial. % 0.92/1.13 apply (zenon_L43_); trivial. % 0.92/1.13 (* end of lemma zenon_L298_ *) % 0.92/1.13 assert (zenon_L299_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H111 zenon_H10c zenon_H23 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_L298_); trivial. % 0.92/1.13 apply (zenon_L73_); trivial. % 0.92/1.13 (* end of lemma zenon_L299_ *) % 0.92/1.13 assert (zenon_L300_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a905)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H197 zenon_H12 zenon_H264 zenon_Heb zenon_H266. % 0.92/1.13 generalize (zenon_H197 (a905)). zenon_intro zenon_H280. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H11 | zenon_intro zenon_H281 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H26a | zenon_intro zenon_H26f ]. % 0.92/1.13 exact (zenon_H264 zenon_H26a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H26b ]. % 0.92/1.13 generalize (zenon_Heb (a905)). zenon_intro zenon_H282. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H11 | zenon_intro zenon_H283 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H26a | zenon_intro zenon_H284 ]. % 0.92/1.13 exact (zenon_H264 zenon_H26a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H273 | zenon_intro zenon_H26b ]. % 0.92/1.13 exact (zenon_H270 zenon_H273). % 0.92/1.13 exact (zenon_H26b zenon_H266). % 0.92/1.13 exact (zenon_H26b zenon_H266). % 0.92/1.13 (* end of lemma zenon_L300_ *) % 0.92/1.13 assert (zenon_L301_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H18a zenon_H189 zenon_H188 zenon_H264 zenon_H266 zenon_H285 zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L62_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H197 | zenon_intro zenon_H286 ]. % 0.92/1.13 apply (zenon_L300_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H187 ]. % 0.92/1.13 apply (zenon_L66_); trivial. % 0.92/1.13 apply (zenon_L120_); trivial. % 0.92/1.13 apply (zenon_L66_); trivial. % 0.92/1.13 (* end of lemma zenon_L301_ *) % 0.92/1.13 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H192 zenon_H102 zenon_Hfd zenon_H264 zenon_H266 zenon_Hf9 zenon_Hed zenon_Hee zenon_H285 zenon_H191. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L121_); trivial. % 0.92/1.13 apply (zenon_L301_); trivial. % 0.92/1.13 (* end of lemma zenon_L302_ *) % 0.92/1.13 assert (zenon_L303_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H116 zenon_H115 zenon_Hda zenon_H195 zenon_H285 zenon_H191 zenon_H152 zenon_H1ed zenon_H16a zenon_H134 zenon_Hdb zenon_Hdf zenon_H7 zenon_H1 zenon_Hfd zenon_H102 zenon_H60 zenon_H27c zenon_H27e zenon_H75 zenon_H10c zenon_H111 zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_H87 zenon_H8b zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.13 apply (zenon_L282_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L288_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.13 apply (zenon_L296_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_L299_); trivial. % 0.92/1.13 apply (zenon_L302_); trivial. % 0.92/1.13 (* end of lemma zenon_L303_ *) % 0.92/1.13 assert (zenon_L304_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H116 zenon_H195 zenon_H191 zenon_H111 zenon_H16a zenon_H16b zenon_H168 zenon_H152 zenon_Hdf zenon_Hdb zenon_H182 zenon_H196 zenon_Ha7 zenon_H87 zenon_H266 zenon_H265 zenon_H8b zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_Hbe zenon_H139 zenon_H137 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_H29 zenon_H123 zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H115. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.13 apply (zenon_L89_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L288_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_L116_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L20_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_L102_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.13 apply (zenon_L65_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.13 apply (zenon_L106_); trivial. % 0.92/1.13 apply (zenon_L284_); trivial. % 0.92/1.13 apply (zenon_L88_); trivial. % 0.92/1.13 apply (zenon_L43_); trivial. % 0.92/1.13 apply (zenon_L119_); trivial. % 0.92/1.13 apply (zenon_L123_); trivial. % 0.92/1.13 (* end of lemma zenon_L304_ *) % 0.92/1.13 assert (zenon_L305_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (~(hskp13)) -> (ndr1_0) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha7 zenon_H57 zenon_H4e zenon_H4c zenon_H4d zenon_H89 zenon_H12 zenon_H265 zenon_H266 zenon_H8b zenon_H87. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.13 apply (zenon_L103_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 0.92/1.13 apply (zenon_L283_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 0.92/1.13 exact (zenon_H87 zenon_H88). % 0.92/1.13 exact (zenon_H89 zenon_H8a). % 0.92/1.13 exact (zenon_H87 zenon_H88). % 0.92/1.13 (* end of lemma zenon_L305_ *) % 0.92/1.13 assert (zenon_L306_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp13)) -> (ndr1_0) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_Ha7 zenon_H57 zenon_H4e zenon_H4d zenon_H89 zenon_H12 zenon_H265 zenon_H266 zenon_H8b zenon_H87. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.13 apply (zenon_L40_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.13 apply (zenon_L170_); trivial. % 0.92/1.13 apply (zenon_L305_); trivial. % 0.92/1.13 (* end of lemma zenon_L306_ *) % 0.92/1.13 assert (zenon_L307_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_H21f zenon_Hd zenon_H21d zenon_H1b5 zenon_H1b7 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H8b zenon_H89 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L287_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Heb | zenon_intro zenon_H220 ]. % 0.92/1.13 apply (zenon_L306_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_He ]. % 0.92/1.13 exact (zenon_H21d zenon_H21e). % 0.92/1.13 exact (zenon_Hd zenon_He). % 0.92/1.13 (* end of lemma zenon_L307_ *) % 0.92/1.13 assert (zenon_L308_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H44 zenon_H12 zenon_H287 zenon_H222 zenon_H224 zenon_H223. % 0.92/1.13 generalize (zenon_H44 (a923)). zenon_intro zenon_H288. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_H11 | zenon_intro zenon_H289 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H28a | zenon_intro zenon_H227 ]. % 0.92/1.13 generalize (zenon_H287 (a923)). zenon_intro zenon_H28b. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_H11 | zenon_intro zenon_H28c ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H228 | zenon_intro zenon_H28d ]. % 0.92/1.13 exact (zenon_H222 zenon_H228). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H28e | zenon_intro zenon_H229 ]. % 0.92/1.13 exact (zenon_H28e zenon_H28a). % 0.92/1.13 exact (zenon_H229 zenon_H224). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 0.92/1.13 exact (zenon_H22a zenon_H223). % 0.92/1.13 exact (zenon_H229 zenon_H224). % 0.92/1.13 (* end of lemma zenon_L308_ *) % 0.92/1.13 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H10e zenon_H76 zenon_H222 zenon_H224 zenon_H223 zenon_H264 zenon_H265 zenon_H266 zenon_H28f zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 0.92/1.13 apply (zenon_L281_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 0.92/1.13 apply (zenon_L308_); trivial. % 0.92/1.13 exact (zenon_H62 zenon_H63). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.92/1.13 apply (zenon_L71_); trivial. % 0.92/1.13 exact (zenon_H62 zenon_H63). % 0.92/1.13 (* end of lemma zenon_L309_ *) % 0.92/1.13 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H230 zenon_H111 zenon_H76 zenon_H264 zenon_H265 zenon_H266 zenon_H62 zenon_H28f zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_Hee zenon_Hed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hf9 zenon_Hfd zenon_H102. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_L203_); trivial. % 0.92/1.13 apply (zenon_L309_); trivial. % 0.92/1.13 (* end of lemma zenon_L310_ *) % 0.92/1.13 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H21b zenon_H1 zenon_H102 zenon_Hfd zenon_Hf9 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hed zenon_Hee zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_L204_); trivial. % 0.92/1.13 apply (zenon_L191_); trivial. % 0.92/1.13 (* end of lemma zenon_L311_ *) % 0.92/1.13 assert (zenon_L312_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_H28f zenon_H266 zenon_H265 zenon_H264 zenon_H76 zenon_H111 zenon_H22f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.92/1.13 apply (zenon_L196_); trivial. % 0.92/1.13 apply (zenon_L310_); trivial. % 0.92/1.13 apply (zenon_L311_); trivial. % 0.92/1.13 (* end of lemma zenon_L312_ *) % 0.92/1.13 assert (zenon_L313_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_H28f zenon_H266 zenon_H265 zenon_H264 zenon_H76 zenon_H111 zenon_H22f zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_L312_); trivial. % 0.92/1.13 (* end of lemma zenon_L313_ *) % 0.92/1.13 assert (zenon_L314_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a923))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (c1_1 (a923)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_H222 zenon_H96 zenon_H223. % 0.92/1.13 generalize (zenon_Hb0 (a923)). zenon_intro zenon_H291. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H11 | zenon_intro zenon_H292 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H228 | zenon_intro zenon_H293 ]. % 0.92/1.13 exact (zenon_H222 zenon_H228). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H28e | zenon_intro zenon_H22a ]. % 0.92/1.13 generalize (zenon_H96 (a923)). zenon_intro zenon_H294. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H294); [ zenon_intro zenon_H11 | zenon_intro zenon_H295 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H28a | zenon_intro zenon_H296 ]. % 0.92/1.13 exact (zenon_H28e zenon_H28a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ]. % 0.92/1.13 exact (zenon_H222 zenon_H228). % 0.92/1.13 exact (zenon_H22a zenon_H223). % 0.92/1.13 exact (zenon_H22a zenon_H223). % 0.92/1.13 (* end of lemma zenon_L314_ *) % 0.92/1.13 assert (zenon_L315_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a923)) -> (~(c3_1 (a923))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (c3_1 (a978)) -> (c2_1 (a978)) -> (~(c0_1 (a978))) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H209 zenon_H223 zenon_H222 zenon_Hb0 zenon_H16 zenon_H2f zenon_H14 zenon_H19a zenon_H12 zenon_H4d zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.13 apply (zenon_L314_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.13 apply (zenon_L125_); trivial. % 0.92/1.13 apply (zenon_L214_); trivial. % 0.92/1.13 (* end of lemma zenon_L315_ *) % 0.92/1.13 assert (zenon_L316_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c0_1 (a978))) -> (c2_1 (a978)) -> (c3_1 (a978)) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp29)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14c zenon_H128 zenon_H127 zenon_H126 zenon_H4e zenon_H4d zenon_H12 zenon_H19a zenon_H14 zenon_H2f zenon_H16 zenon_H222 zenon_H223 zenon_H209 zenon_H5c. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.92/1.13 apply (zenon_L80_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.92/1.13 apply (zenon_L315_); trivial. % 0.92/1.13 exact (zenon_H5c zenon_H5d). % 0.92/1.13 (* end of lemma zenon_L316_ *) % 0.92/1.13 assert (zenon_L317_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H222 zenon_H223 zenon_H224 zenon_H62 zenon_H22b zenon_H7 zenon_H1 zenon_H238 zenon_H236 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H23f zenon_Hdd zenon_H19d zenon_H19c zenon_H19b zenon_H21b zenon_H16a zenon_H102. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.13 apply (zenon_L267_); trivial. % 0.92/1.13 apply (zenon_L198_); trivial. % 0.92/1.13 (* end of lemma zenon_L317_ *) % 0.92/1.13 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a905))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c1_1 (a907))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp28)\/(hskp2))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H117 zenon_H115 zenon_Hdb zenon_Hdf zenon_H22f zenon_H111 zenon_H76 zenon_H264 zenon_H28f zenon_H102 zenon_H16a zenon_H21b zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H1b6 zenon_H236 zenon_H238 zenon_H1 zenon_H7 zenon_H22b zenon_Ha0 zenon_H1d0 zenon_H134 zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_H87 zenon_H266 zenon_H265 zenon_H8b zenon_Hc0 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Hd zenon_H21f zenon_Hc4 zenon_H196 zenon_H219 zenon_H71 zenon_Hfd zenon_H1ce zenon_H168 zenon_H16b zenon_H20d zenon_H20b zenon_H195 zenon_Hd9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.92/1.13 apply (zenon_L307_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_L317_); trivial. % 0.92/1.13 apply (zenon_L309_); trivial. % 0.92/1.13 apply (zenon_L244_); trivial. % 0.92/1.13 apply (zenon_L312_); trivial. % 0.92/1.13 (* end of lemma zenon_L318_ *) % 0.92/1.13 assert (zenon_L319_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp9)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H21f zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H21d zenon_Hd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Heb | zenon_intro zenon_H220 ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_He ]. % 0.92/1.13 exact (zenon_H21d zenon_H21e). % 0.92/1.13 exact (zenon_Hd zenon_He). % 0.92/1.13 (* end of lemma zenon_L319_ *) % 0.92/1.13 assert (zenon_L320_ : ((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp14)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H230 zenon_H22b zenon_H25a zenon_H259 zenon_H258 zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 0.92/1.13 apply (zenon_L197_); trivial. % 0.92/1.13 exact (zenon_H62 zenon_H63). % 0.92/1.13 (* end of lemma zenon_L320_ *) % 0.92/1.13 assert (zenon_L321_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H22f zenon_H22b zenon_H62 zenon_H12 zenon_H258 zenon_H259 zenon_H25a zenon_Hd zenon_H21f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.92/1.13 apply (zenon_L319_); trivial. % 0.92/1.13 apply (zenon_L320_); trivial. % 0.92/1.13 (* end of lemma zenon_L321_ *) % 0.92/1.13 assert (zenon_L322_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf8 zenon_H12 zenon_H78 zenon_H259 zenon_H25a. % 0.92/1.13 generalize (zenon_Hf8 (a908)). zenon_intro zenon_H297. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H297); [ zenon_intro zenon_H11 | zenon_intro zenon_H298 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H299 | zenon_intro zenon_H25d ]. % 0.92/1.13 generalize (zenon_H78 (a908)). zenon_intro zenon_H29a. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H29a); [ zenon_intro zenon_H11 | zenon_intro zenon_H29b ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 0.92/1.13 exact (zenon_H259 zenon_H260). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H29d | zenon_intro zenon_H25f ]. % 0.92/1.13 exact (zenon_H29d zenon_H299). % 0.92/1.13 exact (zenon_H25f zenon_H25a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 0.92/1.13 exact (zenon_H259 zenon_H260). % 0.92/1.13 exact (zenon_H25f zenon_H25a). % 0.92/1.13 (* end of lemma zenon_L322_ *) % 0.92/1.13 assert (zenon_L323_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H111 zenon_Hdf zenon_Hdb zenon_H258 zenon_H259 zenon_H25a zenon_H16b zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_Hfd zenon_H102. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L61_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L62_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.13 apply (zenon_L276_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.13 apply (zenon_L234_); trivial. % 0.92/1.13 apply (zenon_L322_); trivial. % 0.92/1.13 apply (zenon_L181_); trivial. % 0.92/1.13 (* end of lemma zenon_L323_ *) % 0.92/1.13 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_H168 zenon_H16b zenon_Hdb zenon_Hdf zenon_H111 zenon_H21f zenon_Hd zenon_H25a zenon_H259 zenon_H258 zenon_H22b zenon_H22f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.13 apply (zenon_L321_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.92/1.13 apply (zenon_L323_); trivial. % 0.92/1.13 apply (zenon_L187_); trivial. % 0.92/1.13 (* end of lemma zenon_L324_ *) % 0.92/1.13 assert (zenon_L325_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_H168 zenon_H16b zenon_Hdb zenon_Hdf zenon_H111 zenon_H21f zenon_Hd zenon_H25a zenon_H259 zenon_H258 zenon_H22b zenon_H22f zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.13 apply (zenon_L282_); trivial. % 0.92/1.13 apply (zenon_L324_); trivial. % 0.92/1.13 (* end of lemma zenon_L325_ *) % 0.92/1.13 assert (zenon_L326_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H261 zenon_H29e zenon_H1b3 zenon_H87 zenon_H116 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_H168 zenon_H16b zenon_Hdb zenon_Hdf zenon_H111 zenon_H21f zenon_H22b zenon_H22f zenon_H264 zenon_H265 zenon_H266 zenon_H25 zenon_H115 zenon_H21b zenon_H1 zenon_H12f zenon_H29f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 0.92/1.13 apply (zenon_L325_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.92/1.13 apply (zenon_L321_); trivial. % 0.92/1.13 apply (zenon_L311_); trivial. % 0.92/1.13 apply (zenon_L324_); trivial. % 0.92/1.13 apply (zenon_L142_); trivial. % 0.92/1.13 (* end of lemma zenon_L326_ *) % 0.92/1.13 assert (zenon_L327_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H178 zenon_H12 zenon_H1be zenon_H15 zenon_H1c0 zenon_H1bf. % 0.92/1.13 generalize (zenon_H178 (a906)). zenon_intro zenon_H2a0. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a1 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H2a2 ]. % 0.92/1.13 exact (zenon_H1be zenon_H1c4). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H1c6 ]. % 0.92/1.13 generalize (zenon_H15 (a906)). zenon_intro zenon_H2a4. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a5 ]. % 0.92/1.13 exact (zenon_H11 zenon_H12). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 0.92/1.13 exact (zenon_H2a3 zenon_H2a7). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c5 ]. % 0.92/1.13 exact (zenon_H1be zenon_H1c4). % 0.92/1.13 exact (zenon_H1c5 zenon_H1c0). % 0.92/1.13 exact (zenon_H1c6 zenon_H1bf). % 0.92/1.13 (* end of lemma zenon_L327_ *) % 0.92/1.13 assert (zenon_L328_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a906))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a953))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2a8 zenon_H1bf zenon_H1c0 zenon_H15 zenon_H1be zenon_H11b zenon_H11c zenon_Heb zenon_H11a zenon_H12 zenon_Hb. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 0.92/1.13 apply (zenon_L327_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 0.92/1.13 apply (zenon_L260_); trivial. % 0.92/1.13 exact (zenon_Hb zenon_Hc). % 0.92/1.13 (* end of lemma zenon_L328_ *) % 0.92/1.13 assert (zenon_L329_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1d0 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H178 zenon_Hee zenon_Heb zenon_Hed zenon_H12 zenon_Ha0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.92/1.13 apply (zenon_L327_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.92/1.13 apply (zenon_L64_); trivial. % 0.92/1.13 exact (zenon_Ha0 zenon_Ha1). % 0.92/1.13 (* end of lemma zenon_L329_ *) % 0.92/1.13 assert (zenon_L330_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> (~(c2_1 (a953))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H1 zenon_H1d0 zenon_H1bf zenon_H1c0 zenon_H1be zenon_Ha0 zenon_H2a8 zenon_H11b zenon_H11c zenon_H11a zenon_Hb zenon_H21b zenon_Hf9 zenon_Hed zenon_Hee. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.13 apply (zenon_L62_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 0.92/1.13 apply (zenon_L328_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 0.92/1.13 apply (zenon_L329_); trivial. % 0.92/1.13 exact (zenon_H1 zenon_H2). % 0.92/1.13 apply (zenon_L66_); trivial. % 0.92/1.13 (* end of lemma zenon_L330_ *) % 0.92/1.13 assert (zenon_L331_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H111 zenon_H10c zenon_H23 zenon_H1ce zenon_H150 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_Hdf zenon_Hdb zenon_H21b zenon_H1 zenon_Hed zenon_Hee zenon_Ha0 zenon_H1d0 zenon_Hb zenon_H2a8 zenon_Hf9 zenon_Hfd zenon_H102 zenon_H134. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.13 apply (zenon_L143_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.13 apply (zenon_L61_); trivial. % 0.92/1.13 apply (zenon_L330_); trivial. % 0.92/1.13 apply (zenon_L73_); trivial. % 0.92/1.13 (* end of lemma zenon_L331_ *) % 0.92/1.13 assert (zenon_L332_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (~(c0_1 (a905))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H115 zenon_H195 zenon_H264 zenon_H285 zenon_H191 zenon_H134 zenon_H102 zenon_Hfd zenon_H2a8 zenon_H1d0 zenon_H1 zenon_H21b zenon_Hdb zenon_Hdf zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H23 zenon_H10c zenon_H111 zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_H87 zenon_H266 zenon_H265 zenon_H8b zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L288_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_L302_); trivial. % 0.92/1.13 (* end of lemma zenon_L332_ *) % 0.92/1.13 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(hskp13)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H87 zenon_H8b zenon_H266 zenon_H265 zenon_H89 zenon_H4d zenon_H4e zenon_H57 zenon_Ha7 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.92/1.13 apply (zenon_L306_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.92/1.13 apply (zenon_L120_); trivial. % 0.92/1.13 exact (zenon_H20b zenon_H20c). % 0.92/1.13 (* end of lemma zenon_L333_ *) % 0.92/1.13 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H8b zenon_H89 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L287_); trivial. % 0.92/1.13 apply (zenon_L333_); trivial. % 0.92/1.13 (* end of lemma zenon_L334_ *) % 0.92/1.13 assert (zenon_L335_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H195 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.92/1.13 apply (zenon_L225_); trivial. % 0.92/1.13 apply (zenon_L334_); trivial. % 0.92/1.13 (* end of lemma zenon_L335_ *) % 0.92/1.13 assert (zenon_L336_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a907))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(c0_1 (a905))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H117 zenon_H115 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H21f zenon_Hd zenon_H1b6 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_H28f zenon_H264 zenon_H76 zenon_H111 zenon_H22f zenon_H134 zenon_H8b zenon_H87 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_H266 zenon_H265 zenon_Hc0 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H195. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.92/1.13 apply (zenon_L335_); trivial. % 0.92/1.13 apply (zenon_L312_); trivial. % 0.92/1.13 (* end of lemma zenon_L336_ *) % 0.92/1.13 assert (zenon_L337_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a907))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H116 zenon_H115 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H21f zenon_Hd zenon_H1b6 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_H28f zenon_H76 zenon_H111 zenon_H22f zenon_H134 zenon_H8b zenon_H87 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_Hc0 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H195 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.92/1.14 apply (zenon_L282_); trivial. % 0.92/1.14 apply (zenon_L336_); trivial. % 0.92/1.14 (* end of lemma zenon_L337_ *) % 0.92/1.14 assert (zenon_L338_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H4c zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.92/1.14 generalize (zenon_H4c (a904)). zenon_intro zenon_H2ad. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H2ad); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ae ]. % 0.92/1.14 exact (zenon_H11 zenon_H12). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ]. % 0.92/1.14 exact (zenon_H2aa zenon_H2b0). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b1 ]. % 0.92/1.14 exact (zenon_H2ab zenon_H2b2). % 0.92/1.14 exact (zenon_H2b1 zenon_H2ac). % 0.92/1.14 (* end of lemma zenon_L338_ *) % 0.92/1.14 assert (zenon_L339_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H5c zenon_H5e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H4c | zenon_intro zenon_H61 ]. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5d | zenon_intro zenon_H5f ]. % 0.92/1.14 exact (zenon_H5c zenon_H5d). % 0.92/1.14 exact (zenon_H5e zenon_H5f). % 0.92/1.14 (* end of lemma zenon_L339_ *) % 0.92/1.14 assert (zenon_L340_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H2b zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.14 apply (zenon_L40_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.14 apply (zenon_L125_); trivial. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 (* end of lemma zenon_L340_ *) % 0.92/1.14 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Ha4 zenon_Hbf zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb zenon_Hd zenon_Hf. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_L340_); trivial. % 0.92/1.14 (* end of lemma zenon_L341_ *) % 0.92/1.14 assert (zenon_L342_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hc4 zenon_H209 zenon_Hc0 zenon_Hbf zenon_H75 zenon_H71 zenon_H6e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_Hb zenon_Hd zenon_Hf zenon_H37 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L20_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.92/1.14 apply (zenon_L339_); trivial. % 0.92/1.14 apply (zenon_L31_); trivial. % 0.92/1.14 apply (zenon_L47_); trivial. % 0.92/1.14 apply (zenon_L341_); trivial. % 0.92/1.14 (* end of lemma zenon_L342_ *) % 0.92/1.14 assert (zenon_L343_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp7)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H29e zenon_H1b3 zenon_Hdb zenon_Hc4 zenon_H209 zenon_Hc0 zenon_Hbf zenon_H75 zenon_H71 zenon_H6e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_Hb zenon_Hf zenon_H37 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_Ha7 zenon_Hba zenon_Hda. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.92/1.14 apply (zenon_L342_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L48_); trivial. % 0.92/1.14 apply (zenon_L341_); trivial. % 0.92/1.14 apply (zenon_L142_); trivial. % 0.92/1.14 (* end of lemma zenon_L343_ *) % 0.92/1.14 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H2b3 zenon_H2c zenon_H27 zenon_H29. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 0.92/1.14 apply (zenon_L132_); trivial. % 0.92/1.14 (* end of lemma zenon_L344_ *) % 0.92/1.14 assert (zenon_L345_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H2b6 zenon_H2c zenon_H29 zenon_Hda zenon_Hba zenon_Ha7 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H37 zenon_Hf zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H6e zenon_H71 zenon_H75 zenon_Hbf zenon_Hc0 zenon_H209 zenon_Hc4 zenon_Hdb zenon_H1b3 zenon_H29e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 0.92/1.14 apply (zenon_L343_); trivial. % 0.92/1.14 apply (zenon_L344_); trivial. % 0.92/1.14 (* end of lemma zenon_L345_ *) % 0.92/1.14 assert (zenon_L346_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a953))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H11b zenon_H11c zenon_Heb zenon_H11a zenon_H12 zenon_Hdd. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.92/1.14 apply (zenon_L260_); trivial. % 0.92/1.14 exact (zenon_Hdd zenon_Hde). % 0.92/1.14 (* end of lemma zenon_L346_ *) % 0.92/1.14 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H131 zenon_H16b zenon_Hdd zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.14 apply (zenon_L346_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 apply (zenon_L78_); trivial. % 0.92/1.14 (* end of lemma zenon_L347_ *) % 0.92/1.14 assert (zenon_L348_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.14 apply (zenon_L143_); trivial. % 0.92/1.14 apply (zenon_L347_); trivial. % 0.92/1.14 (* end of lemma zenon_L348_ *) % 0.92/1.14 assert (zenon_L349_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp13)) -> (~(hskp1)) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp22)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H71 zenon_H89 zenon_H87 zenon_H79 zenon_H7a zenon_H7b zenon_H8b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_Heb zenon_H35. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.92/1.14 apply (zenon_L36_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.92/1.14 apply (zenon_L162_); trivial. % 0.92/1.14 exact (zenon_H35 zenon_H36). % 0.92/1.14 (* end of lemma zenon_L349_ *) % 0.92/1.14 assert (zenon_L350_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H91 zenon_H78 zenon_H7a zenon_H7b zenon_H79 zenon_H12 zenon_H35. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.92/1.14 apply (zenon_L33_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.92/1.14 apply (zenon_L37_); trivial. % 0.92/1.14 exact (zenon_H35 zenon_H36). % 0.92/1.14 (* end of lemma zenon_L350_ *) % 0.92/1.14 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H93 zenon_H16b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H8b zenon_H87 zenon_H89 zenon_H71 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.92/1.14 apply (zenon_L349_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 apply (zenon_L350_); trivial. % 0.92/1.14 (* end of lemma zenon_L351_ *) % 0.92/1.14 assert (zenon_L352_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H197 zenon_H12 zenon_H157 zenon_H1be zenon_H1c0 zenon_H1bf. % 0.92/1.14 generalize (zenon_H197 (a906)). zenon_intro zenon_H2b7. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b8 ]. % 0.92/1.14 exact (zenon_H11 zenon_H12). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H1c3 ]. % 0.92/1.14 generalize (zenon_H157 (a906)). zenon_intro zenon_H2b9. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ba ]. % 0.92/1.14 exact (zenon_H11 zenon_H12). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H2bb ]. % 0.92/1.14 exact (zenon_H1be zenon_H1c4). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H1c5 ]. % 0.92/1.14 exact (zenon_H2a3 zenon_H2a7). % 0.92/1.14 exact (zenon_H1c5 zenon_H1c0). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.92/1.14 exact (zenon_H1c6 zenon_H1bf). % 0.92/1.14 exact (zenon_H1c5 zenon_H1c0). % 0.92/1.14 (* end of lemma zenon_L352_ *) % 0.92/1.14 assert (zenon_L353_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H168 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H197 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H166. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 0.92/1.14 apply (zenon_L352_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 0.92/1.14 apply (zenon_L71_); trivial. % 0.92/1.14 exact (zenon_H166 zenon_H167). % 0.92/1.14 (* end of lemma zenon_L353_ *) % 0.92/1.14 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp18)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.92/1.14 do 0 intro. intros zenon_Ha4 zenon_H209 zenon_H166 zenon_H103 zenon_H104 zenon_H105 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H168 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.92/1.14 apply (zenon_L40_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.92/1.14 apply (zenon_L353_); trivial. % 0.92/1.14 apply (zenon_L338_); trivial. % 0.92/1.14 (* end of lemma zenon_L354_ *) % 0.92/1.14 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H209 zenon_H166 zenon_H168 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H87 zenon_H89 zenon_H8b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_Hbe. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.92/1.14 apply (zenon_L135_); trivial. % 0.92/1.14 apply (zenon_L351_); trivial. % 0.92/1.14 apply (zenon_L354_); trivial. % 0.92/1.14 (* end of lemma zenon_L355_ *) % 0.92/1.14 assert (zenon_L356_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H1b6 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H31 zenon_H35 zenon_H37 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L20_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.92/1.14 apply (zenon_L62_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H197 | zenon_intro zenon_H286 ]. % 0.92/1.14 apply (zenon_L170_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H187 ]. % 0.92/1.14 apply (zenon_L164_); trivial. % 0.92/1.14 apply (zenon_L120_); trivial. % 0.92/1.14 apply (zenon_L164_); trivial. % 0.92/1.14 (* end of lemma zenon_L356_ *) % 0.92/1.14 assert (zenon_L357_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.92/1.14 apply (zenon_L356_); trivial. % 0.92/1.14 apply (zenon_L347_); trivial. % 0.92/1.14 (* end of lemma zenon_L357_ *) % 0.92/1.14 assert (zenon_L358_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.14 apply (zenon_L40_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.14 apply (zenon_L170_); trivial. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 (* end of lemma zenon_L358_ *) % 0.98/1.14 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 0.98/1.14 apply (zenon_L358_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 0.98/1.14 apply (zenon_L120_); trivial. % 0.98/1.14 exact (zenon_H20b zenon_H20c). % 0.98/1.14 (* end of lemma zenon_L359_ *) % 0.98/1.14 assert (zenon_L360_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H87 zenon_H89 zenon_H8b zenon_H91 zenon_Hbe. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.14 apply (zenon_L357_); trivial. % 0.98/1.14 apply (zenon_L351_); trivial. % 0.98/1.14 apply (zenon_L359_); trivial. % 0.98/1.14 (* end of lemma zenon_L360_ *) % 0.98/1.14 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H192 zenon_H196 zenon_H21b zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H87 zenon_H89 zenon_H8b zenon_H91 zenon_Hbe zenon_H1be zenon_H1bf zenon_H1c0 zenon_H168 zenon_H111. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L360_); trivial. % 0.98/1.14 apply (zenon_L355_); trivial. % 0.98/1.14 apply (zenon_L191_); trivial. % 0.98/1.14 (* end of lemma zenon_L361_ *) % 0.98/1.14 assert (zenon_L362_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c1_1 (a914))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H168 zenon_Hee zenon_Hed zenon_Heb zenon_Hf9 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H166. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 0.98/1.14 generalize (zenon_H157 (a914)). zenon_intro zenon_H2bc. % 0.98/1.14 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bd ]. % 0.98/1.14 exact (zenon_H11 zenon_H12). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hf7 ]. % 0.98/1.14 exact (zenon_Hf9 zenon_Hfc). % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf3 ]. % 0.98/1.14 apply (zenon_L63_); trivial. % 0.98/1.14 exact (zenon_Hf3 zenon_Hee). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 0.98/1.14 apply (zenon_L71_); trivial. % 0.98/1.14 exact (zenon_H166 zenon_H167). % 0.98/1.14 (* end of lemma zenon_L362_ *) % 0.98/1.14 assert (zenon_L363_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp18)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H166 zenon_H103 zenon_H104 zenon_H105 zenon_H168 zenon_Hf9 zenon_Hed zenon_Hee. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.14 apply (zenon_L62_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.14 apply (zenon_L362_); trivial. % 0.98/1.14 apply (zenon_L66_); trivial. % 0.98/1.14 (* end of lemma zenon_L363_ *) % 0.98/1.14 assert (zenon_L364_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H103 zenon_H104 zenon_H105 zenon_H166 zenon_H168 zenon_H1 zenon_H3 zenon_H7. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L4_); trivial. % 0.98/1.14 apply (zenon_L363_); trivial. % 0.98/1.14 (* end of lemma zenon_L364_ *) % 0.98/1.14 assert (zenon_L365_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp18)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H131 zenon_H16b zenon_H166 zenon_H103 zenon_H104 zenon_H105 zenon_Hf9 zenon_Hed zenon_Hee zenon_H168 zenon_H2ac zenon_H2ab zenon_H2aa. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L362_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L78_); trivial. % 0.98/1.14 (* end of lemma zenon_L365_ *) % 0.98/1.14 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H10e zenon_H134 zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H7 zenon_H1 zenon_H168 zenon_H166 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_H102. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.14 apply (zenon_L364_); trivial. % 0.98/1.14 apply (zenon_L365_); trivial. % 0.98/1.14 (* end of lemma zenon_L366_ *) % 0.98/1.14 assert (zenon_L367_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H111 zenon_H7 zenon_H1 zenon_H168 zenon_H166 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_H102 zenon_H1ce zenon_H150 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L348_); trivial. % 0.98/1.14 apply (zenon_L366_); trivial. % 0.98/1.14 (* end of lemma zenon_L367_ *) % 0.98/1.14 assert (zenon_L368_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H196 zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H168 zenon_H1 zenon_H7 zenon_H111. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.14 apply (zenon_L367_); trivial. % 0.98/1.14 apply (zenon_L191_); trivial. % 0.98/1.14 (* end of lemma zenon_L368_ *) % 0.98/1.14 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H131 zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H2ac zenon_H2ab zenon_H2aa. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L276_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L78_); trivial. % 0.98/1.14 (* end of lemma zenon_L369_ *) % 0.98/1.14 assert (zenon_L370_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H134 zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.14 apply (zenon_L143_); trivial. % 0.98/1.14 apply (zenon_L369_); trivial. % 0.98/1.14 (* end of lemma zenon_L370_ *) % 0.98/1.14 assert (zenon_L371_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a908))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H16b zenon_H258 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H259 zenon_H25a. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.14 apply (zenon_L62_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.14 apply (zenon_L276_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L276_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L322_); trivial. % 0.98/1.14 (* end of lemma zenon_L371_ *) % 0.98/1.14 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H192 zenon_H102 zenon_Hfd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H191. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L121_); trivial. % 0.98/1.14 apply (zenon_L371_); trivial. % 0.98/1.14 (* end of lemma zenon_L372_ *) % 0.98/1.14 assert (zenon_L373_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H261 zenon_H195 zenon_H102 zenon_Hfd zenon_H191 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_H134. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_L370_); trivial. % 0.98/1.14 apply (zenon_L372_); trivial. % 0.98/1.14 (* end of lemma zenon_L373_ *) % 0.98/1.14 assert (zenon_L374_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H2b3 zenon_H2be zenon_H191 zenon_H195 zenon_H20d zenon_H7 zenon_H285 zenon_Hfd zenon_H102 zenon_H111 zenon_Hc4 zenon_H209 zenon_H168 zenon_Hc0 zenon_H71 zenon_H37 zenon_H87 zenon_H8b zenon_H91 zenon_Hbe zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134 zenon_H1 zenon_H21b zenon_H196 zenon_H22d zenon_H115. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L348_); trivial. % 0.98/1.14 apply (zenon_L355_); trivial. % 0.98/1.14 apply (zenon_L191_); trivial. % 0.98/1.14 apply (zenon_L361_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_L368_); trivial. % 0.98/1.14 apply (zenon_L201_); trivial. % 0.98/1.14 apply (zenon_L373_); trivial. % 0.98/1.14 (* end of lemma zenon_L374_ *) % 0.98/1.14 assert (zenon_L375_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a905)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a905))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H266 zenon_Heb zenon_H264 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.14 apply (zenon_L40_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.14 apply (zenon_L300_); trivial. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 (* end of lemma zenon_L375_ *) % 0.98/1.14 assert (zenon_L376_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H78 zenon_H12 zenon_H197 zenon_H264 zenon_H266 zenon_H265. % 0.98/1.14 generalize (zenon_H78 (a905)). zenon_intro zenon_H271. % 0.98/1.14 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H11 | zenon_intro zenon_H272 ]. % 0.98/1.14 exact (zenon_H11 zenon_H12). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H273 | zenon_intro zenon_H269 ]. % 0.98/1.14 generalize (zenon_H197 (a905)). zenon_intro zenon_H280. % 0.98/1.14 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H11 | zenon_intro zenon_H281 ]. % 0.98/1.14 exact (zenon_H11 zenon_H12). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H26a | zenon_intro zenon_H26f ]. % 0.98/1.14 exact (zenon_H264 zenon_H26a). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H26b ]. % 0.98/1.14 exact (zenon_H270 zenon_H273). % 0.98/1.14 exact (zenon_H26b zenon_H266). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.98/1.14 exact (zenon_H26c zenon_H265). % 0.98/1.14 exact (zenon_H26b zenon_H266). % 0.98/1.14 (* end of lemma zenon_L376_ *) % 0.98/1.14 assert (zenon_L377_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H265 zenon_H266 zenon_H264 zenon_H78 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.14 apply (zenon_L40_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.14 apply (zenon_L376_); trivial. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 (* end of lemma zenon_L377_ *) % 0.98/1.14 assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Ha4 zenon_H16b zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L375_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L377_); trivial. % 0.98/1.14 (* end of lemma zenon_L378_ *) % 0.98/1.14 assert (zenon_L379_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H264 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H8b zenon_H89 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.14 apply (zenon_L287_); trivial. % 0.98/1.14 apply (zenon_L378_); trivial. % 0.98/1.14 (* end of lemma zenon_L379_ *) % 0.98/1.14 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H70 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_Hdd zenon_H27c zenon_Hdb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_Hf9 zenon_Hed zenon_Hee. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.14 apply (zenon_L62_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.98/1.14 apply (zenon_L291_); trivial. % 0.98/1.14 exact (zenon_Hdd zenon_Hde). % 0.98/1.14 apply (zenon_L66_); trivial. % 0.98/1.14 (* end of lemma zenon_L380_ *) % 0.98/1.14 assert (zenon_L381_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H134 zenon_H16b zenon_H7 zenon_H1 zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H27e zenon_Hdd zenon_Hed zenon_Hee zenon_Hdb zenon_H27c zenon_Hf9 zenon_Hfd zenon_H75 zenon_H102. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L4_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.14 apply (zenon_L339_); trivial. % 0.98/1.14 apply (zenon_L380_); trivial. % 0.98/1.14 apply (zenon_L347_); trivial. % 0.98/1.14 (* end of lemma zenon_L381_ *) % 0.98/1.14 assert (zenon_L382_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H102 zenon_H75 zenon_Hfd zenon_Hf9 zenon_H27c zenon_Hdb zenon_Hee zenon_Hed zenon_H27e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H1 zenon_H7 zenon_H16b zenon_H134. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L381_); trivial. % 0.98/1.14 apply (zenon_L73_); trivial. % 0.98/1.14 (* end of lemma zenon_L382_ *) % 0.98/1.14 assert (zenon_L383_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.14 apply (zenon_L297_); trivial. % 0.98/1.14 apply (zenon_L378_); trivial. % 0.98/1.14 (* end of lemma zenon_L383_ *) % 0.98/1.14 assert (zenon_L384_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L383_); trivial. % 0.98/1.14 apply (zenon_L73_); trivial. % 0.98/1.14 (* end of lemma zenon_L384_ *) % 0.98/1.14 assert (zenon_L385_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H285 zenon_H191 zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H152 zenon_H1ed zenon_H16a zenon_H23 zenon_Hb zenon_H10c zenon_H111. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_L384_); trivial. % 0.98/1.14 apply (zenon_L302_); trivial. % 0.98/1.14 (* end of lemma zenon_L385_ *) % 0.98/1.14 assert (zenon_L386_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hda zenon_H14c zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_H75. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.14 apply (zenon_L339_); trivial. % 0.98/1.14 apply (zenon_L95_); trivial. % 0.98/1.14 apply (zenon_L98_); trivial. % 0.98/1.14 (* end of lemma zenon_L386_ *) % 0.98/1.14 assert (zenon_L387_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H197 zenon_H264 zenon_H266 zenon_H265. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L300_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L376_); trivial. % 0.98/1.14 (* end of lemma zenon_L387_ *) % 0.98/1.14 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H1a4 zenon_H264 zenon_H266 zenon_H265 zenon_H16b zenon_H75 zenon_H139 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H14c zenon_Hda. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 0.98/1.14 apply (zenon_L386_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 0.98/1.14 apply (zenon_L80_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 0.98/1.14 apply (zenon_L387_); trivial. % 0.98/1.14 apply (zenon_L126_); trivial. % 0.98/1.14 (* end of lemma zenon_L388_ *) % 0.98/1.14 assert (zenon_L389_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H29f zenon_H1c8 zenon_H1a4 zenon_H139 zenon_H14c zenon_Hc4 zenon_H16b zenon_H264 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H8b zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H37 zenon_H91 zenon_Hbe zenon_H111 zenon_H10c zenon_Hb zenon_H102 zenon_H75 zenon_Hfd zenon_H27c zenon_Hdb zenon_H27e zenon_H60 zenon_H1 zenon_H7 zenon_H134 zenon_H16a zenon_H1ed zenon_H152 zenon_H191 zenon_H285 zenon_H195 zenon_Hda zenon_H115. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.14 apply (zenon_L379_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.14 apply (zenon_L382_); trivial. % 0.98/1.14 apply (zenon_L385_); trivial. % 0.98/1.14 apply (zenon_L388_); trivial. % 0.98/1.14 (* end of lemma zenon_L389_ *) % 0.98/1.14 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp16)) -> (~(hskp9)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Ha4 zenon_H21f zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H21d zenon_Hd. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Heb | zenon_intro zenon_H220 ]. % 0.98/1.14 apply (zenon_L358_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_He ]. % 0.98/1.14 exact (zenon_H21d zenon_H21e). % 0.98/1.14 exact (zenon_Hd zenon_He). % 0.98/1.14 (* end of lemma zenon_L390_ *) % 0.98/1.14 assert (zenon_L391_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c1_1 (a923)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a923))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp17)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H2bf zenon_H223 zenon_H96 zenon_H222 zenon_H12 zenon_H33 zenon_H150. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2c0 ]. % 0.98/1.14 apply (zenon_L314_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H34 | zenon_intro zenon_H151 ]. % 0.98/1.14 exact (zenon_H33 zenon_H34). % 0.98/1.14 exact (zenon_H150 zenon_H151). % 0.98/1.14 (* end of lemma zenon_L391_ *) % 0.98/1.14 assert (zenon_L392_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp17)) -> (~(hskp26)) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H209 zenon_H150 zenon_H33 zenon_H222 zenon_H223 zenon_H2bf zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.14 apply (zenon_L391_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.14 apply (zenon_L170_); trivial. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 (* end of lemma zenon_L392_ *) % 0.98/1.14 assert (zenon_L393_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c1_1 (a923)) -> (~(c3_1 (a923))) -> (~(hskp26)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H2bf zenon_H223 zenon_H222 zenon_H33 zenon_H150 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_H7a zenon_H7b zenon_H79 zenon_H12 zenon_H35. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.14 apply (zenon_L392_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.14 apply (zenon_L338_); trivial. % 0.98/1.14 apply (zenon_L350_); trivial. % 0.98/1.14 (* end of lemma zenon_L393_ *) % 0.98/1.14 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H93 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b6 zenon_H71 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b7 zenon_H1b5 zenon_H222 zenon_H223 zenon_H150 zenon_H2bf zenon_H91 zenon_H35 zenon_H16b zenon_Hdb zenon_Hdd zenon_Hdf. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L61_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.98/1.14 apply (zenon_L393_); trivial. % 0.98/1.14 apply (zenon_L165_); trivial. % 0.98/1.14 (* end of lemma zenon_L394_ *) % 0.98/1.14 assert (zenon_L395_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> (~(c3_1 (a923))) -> (~(hskp14)) -> False). % 0.98/1.14 do 0 intro. intros zenon_Ha4 zenon_H22b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H224 zenon_H223 zenon_H222 zenon_H62. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 0.98/1.14 apply (zenon_L358_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 0.98/1.14 apply (zenon_L197_); trivial. % 0.98/1.14 exact (zenon_H62 zenon_H63). % 0.98/1.14 (* end of lemma zenon_L395_ *) % 0.98/1.14 assert (zenon_L396_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H264 zenon_H265 zenon_H266 zenon_H222 zenon_H224 zenon_H223 zenon_H62 zenon_H28f zenon_Hbe zenon_H91 zenon_H8b zenon_H89 zenon_H87 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H1b6 zenon_H285 zenon_H37 zenon_H1 zenon_H7 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134 zenon_H209 zenon_H20b zenon_H20d zenon_Hc4. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L360_); trivial. % 0.98/1.14 apply (zenon_L309_); trivial. % 0.98/1.14 (* end of lemma zenon_L396_ *) % 0.98/1.14 assert (zenon_L397_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc4 zenon_H21f zenon_Hd zenon_H21d zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.14 apply (zenon_L297_); trivial. % 0.98/1.14 apply (zenon_L390_); trivial. % 0.98/1.14 (* end of lemma zenon_L397_ *) % 0.98/1.14 assert (zenon_L398_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H111 zenon_H76 zenon_H222 zenon_H224 zenon_H223 zenon_H62 zenon_H28f zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L383_); trivial. % 0.98/1.14 apply (zenon_L309_); trivial. % 0.98/1.14 (* end of lemma zenon_L398_ *) % 0.98/1.14 assert (zenon_L399_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H131 zenon_H102 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H188 zenon_H189 zenon_H18a zenon_H191. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L121_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.14 apply (zenon_L62_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.14 apply (zenon_L346_); trivial. % 0.98/1.14 apply (zenon_L66_); trivial. % 0.98/1.14 (* end of lemma zenon_L399_ *) % 0.98/1.14 assert (zenon_L400_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H134 zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H191 zenon_H7 zenon_H1 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_Hee zenon_Hed zenon_Hf9 zenon_H266 zenon_H264 zenon_Hfd zenon_H102. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.14 apply (zenon_L4_); trivial. % 0.98/1.14 apply (zenon_L301_); trivial. % 0.98/1.14 apply (zenon_L399_); trivial. % 0.98/1.14 (* end of lemma zenon_L400_ *) % 0.98/1.14 assert (zenon_L401_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c1_1 (a905)) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H265 zenon_H222 zenon_H224 zenon_H223 zenon_H62 zenon_H28f zenon_H102 zenon_Hfd zenon_H264 zenon_H266 zenon_Hf9 zenon_Hed zenon_Hee zenon_H285 zenon_H1 zenon_H7 zenon_H191 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H134. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L400_); trivial. % 0.98/1.14 apply (zenon_L309_); trivial. % 0.98/1.14 (* end of lemma zenon_L401_ *) % 0.98/1.14 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a907))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.98/1.14 do 0 intro. intros zenon_Hc5 zenon_H22f zenon_H285 zenon_H191 zenon_H27e zenon_H265 zenon_H264 zenon_H266 zenon_H28f zenon_H62 zenon_H76 zenon_H196 zenon_H21b zenon_H1b6 zenon_Hc4 zenon_H21f zenon_Hd zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H152 zenon_H1ed zenon_H16a zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H168 zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H111 zenon_H22d zenon_H195. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.14 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.14 apply (zenon_L397_); trivial. % 0.98/1.14 apply (zenon_L366_); trivial. % 0.98/1.14 apply (zenon_L191_); trivial. % 0.98/1.14 apply (zenon_L201_); trivial. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.98/1.14 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.14 apply (zenon_L398_); trivial. % 0.98/1.14 apply (zenon_L401_); trivial. % 0.98/1.14 (* end of lemma zenon_L402_ *) % 0.98/1.14 assert (zenon_L403_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp18)) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H60 zenon_H166 zenon_H12 zenon_H4d zenon_H4e zenon_H57 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H5c zenon_H5e. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H4c | zenon_intro zenon_H61 ]. % 0.98/1.14 apply (zenon_L234_); trivial. % 0.98/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5d | zenon_intro zenon_H5f ]. % 0.98/1.14 exact (zenon_H5c zenon_H5d). % 0.98/1.14 exact (zenon_H5e zenon_H5f). % 0.98/1.14 (* end of lemma zenon_L403_ *) % 0.98/1.14 assert (zenon_L404_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a918))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> False). % 0.98/1.14 do 0 intro. intros zenon_H39 zenon_H12 zenon_Hc8 zenon_H1e5 zenon_Hca zenon_Hc9. % 0.98/1.14 generalize (zenon_H39 (a918)). zenon_intro zenon_H2c1. % 0.98/1.14 apply (zenon_imply_s _ _ zenon_H2c1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c2 ]. % 0.98/1.14 exact (zenon_H11 zenon_H12). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H2c3 ]. % 0.98/1.14 exact (zenon_Hc8 zenon_Hd2). % 0.98/1.14 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_Hce | zenon_intro zenon_Hd5 ]. % 0.98/1.14 apply (zenon_L183_); trivial. % 0.98/1.14 exact (zenon_Hd5 zenon_Hca). % 0.98/1.14 (* end of lemma zenon_L404_ *) % 0.98/1.15 assert (zenon_L405_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (~(hskp21)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H12 zenon_H39 zenon_Hdd. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.98/1.15 apply (zenon_L45_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.98/1.15 apply (zenon_L404_); trivial. % 0.98/1.15 exact (zenon_Hdd zenon_Hde). % 0.98/1.15 (* end of lemma zenon_L405_ *) % 0.98/1.15 assert (zenon_L406_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (~(hskp21)) -> (ndr1_0) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp22)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H91 zenon_Hc8 zenon_Hdd zenon_H12 zenon_Hca zenon_Hc9 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H35. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.98/1.15 apply (zenon_L405_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.98/1.15 apply (zenon_L189_); trivial. % 0.98/1.15 exact (zenon_H35 zenon_H36). % 0.98/1.15 (* end of lemma zenon_L406_ *) % 0.98/1.15 assert (zenon_L407_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1ed zenon_Hdd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L406_); trivial. % 0.98/1.15 apply (zenon_L378_); trivial. % 0.98/1.15 (* end of lemma zenon_L407_ *) % 0.98/1.15 assert (zenon_L408_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_H91 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_L407_); trivial. % 0.98/1.15 apply (zenon_L181_); trivial. % 0.98/1.15 (* end of lemma zenon_L408_ *) % 0.98/1.15 assert (zenon_L409_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc0 zenon_H91 zenon_H179 zenon_H17a zenon_H17b zenon_Hca zenon_Hc9 zenon_H219 zenon_H31 zenon_H35 zenon_H37. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.98/1.15 apply (zenon_L20_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.98/1.15 apply (zenon_L21_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.98/1.15 apply (zenon_L185_); trivial. % 0.98/1.15 exact (zenon_H35 zenon_H36). % 0.98/1.15 (* end of lemma zenon_L409_ *) % 0.98/1.15 assert (zenon_L410_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp17)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2bf zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H33 zenon_H150. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2c0 ]. % 0.98/1.15 apply (zenon_L45_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H34 | zenon_intro zenon_H151 ]. % 0.98/1.15 exact (zenon_H33 zenon_H34). % 0.98/1.15 exact (zenon_H150 zenon_H151). % 0.98/1.15 (* end of lemma zenon_L410_ *) % 0.98/1.15 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (~(hskp22)) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc1 zenon_H91 zenon_H7a zenon_H7b zenon_H79 zenon_H35. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 0.98/1.15 apply (zenon_L21_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 0.98/1.15 apply (zenon_L37_); trivial. % 0.98/1.15 exact (zenon_H35 zenon_H36). % 0.98/1.15 (* end of lemma zenon_L411_ *) % 0.98/1.15 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H93 zenon_Hc0 zenon_H91 zenon_H35 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H150 zenon_H2bf. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.98/1.15 apply (zenon_L410_); trivial. % 0.98/1.15 apply (zenon_L411_); trivial. % 0.98/1.15 (* end of lemma zenon_L412_ *) % 0.98/1.15 assert (zenon_L413_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hbe zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H150 zenon_H2bf zenon_H37 zenon_H35 zenon_H219 zenon_Hc9 zenon_Hca zenon_H17b zenon_H17a zenon_H179 zenon_H91 zenon_Hc0. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_L409_); trivial. % 0.98/1.15 apply (zenon_L412_); trivial. % 0.98/1.15 (* end of lemma zenon_L413_ *) % 0.98/1.15 assert (zenon_L414_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_H2bf zenon_H150 zenon_Hbe zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91 zenon_H168 zenon_H111. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.15 apply (zenon_L408_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L413_); trivial. % 0.98/1.15 apply (zenon_L378_); trivial. % 0.98/1.15 (* end of lemma zenon_L414_ *) % 0.98/1.15 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H285 zenon_H191 zenon_H111 zenon_H168 zenon_H91 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4 zenon_Hbe zenon_H2bf zenon_H37 zenon_H219 zenon_Hc0 zenon_H196. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.15 apply (zenon_L414_); trivial. % 0.98/1.15 apply (zenon_L302_); trivial. % 0.98/1.15 (* end of lemma zenon_L415_ *) % 0.98/1.15 assert (zenon_L416_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H116 zenon_H115 zenon_H219 zenon_H196 zenon_H21b zenon_H60 zenon_H27c zenon_H75 zenon_H168 zenon_H22d zenon_H16a zenon_H1ed zenon_H152 zenon_H191 zenon_Hda zenon_H22f zenon_H195 zenon_H285 zenon_H20b zenon_H20d zenon_H22b zenon_H27e zenon_Hdf zenon_Hdb zenon_H2bf zenon_H28f zenon_H76 zenon_H111 zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H1 zenon_H7 zenon_H87 zenon_H8b zenon_H134 zenon_H209 zenon_Hd zenon_H21f zenon_Hc4 zenon_Hd9 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.98/1.15 apply (zenon_L282_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_L168_); trivial. % 0.98/1.15 apply (zenon_L351_); trivial. % 0.98/1.15 apply (zenon_L390_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.15 apply (zenon_L166_); trivial. % 0.98/1.15 apply (zenon_L347_); trivial. % 0.98/1.15 apply (zenon_L394_); trivial. % 0.98/1.15 apply (zenon_L395_); trivial. % 0.98/1.15 apply (zenon_L309_); trivial. % 0.98/1.15 apply (zenon_L396_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_L53_); trivial. % 0.98/1.15 apply (zenon_L351_); trivial. % 0.98/1.15 apply (zenon_L378_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_L381_); trivial. % 0.98/1.15 apply (zenon_L366_); trivial. % 0.98/1.15 apply (zenon_L191_); trivial. % 0.98/1.15 apply (zenon_L402_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.15 apply (zenon_L4_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.15 apply (zenon_L403_); trivial. % 0.98/1.15 apply (zenon_L380_); trivial. % 0.98/1.15 apply (zenon_L347_); trivial. % 0.98/1.15 apply (zenon_L366_); trivial. % 0.98/1.15 apply (zenon_L191_); trivial. % 0.98/1.15 apply (zenon_L415_); trivial. % 0.98/1.15 (* end of lemma zenon_L416_ *) % 0.98/1.15 assert (zenon_L417_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H25a zenon_H259 zenon_H258 zenon_H31 zenon_H35 zenon_H37 zenon_H1 zenon_H3 zenon_H7. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.15 apply (zenon_L4_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.98/1.15 apply (zenon_L20_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.15 apply (zenon_L62_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.15 apply (zenon_L276_); trivial. % 0.98/1.15 apply (zenon_L164_); trivial. % 0.98/1.15 (* end of lemma zenon_L417_ *) % 0.98/1.15 assert (zenon_L418_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a950))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (c3_1 (a950)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H78 zenon_H12 zenon_H79 zenon_Hf8 zenon_H7a. % 0.98/1.15 generalize (zenon_H78 (a950)). zenon_intro zenon_H80. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H80); [ zenon_intro zenon_H11 | zenon_intro zenon_H81 ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ]. % 0.98/1.15 exact (zenon_H79 zenon_H83). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.98/1.15 generalize (zenon_Hf8 (a950)). zenon_intro zenon_H2c4. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c5 ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H7f | zenon_intro zenon_H2c6 ]. % 0.98/1.15 exact (zenon_H85 zenon_H7f). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 0.98/1.15 exact (zenon_H79 zenon_H83). % 0.98/1.15 exact (zenon_H84 zenon_H7a). % 0.98/1.15 exact (zenon_H84 zenon_H7a). % 0.98/1.15 (* end of lemma zenon_L418_ *) % 0.98/1.15 assert (zenon_L419_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c2_1 (a950))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (c3_1 (a950)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H79 zenon_Hf8 zenon_H7a. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.15 apply (zenon_L276_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.15 apply (zenon_L338_); trivial. % 0.98/1.15 apply (zenon_L418_); trivial. % 0.98/1.15 (* end of lemma zenon_L419_ *) % 0.98/1.15 assert (zenon_L420_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H79 zenon_H7a. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.15 apply (zenon_L62_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.15 apply (zenon_L276_); trivial. % 0.98/1.15 apply (zenon_L419_); trivial. % 0.98/1.15 (* end of lemma zenon_L420_ *) % 0.98/1.15 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H93 zenon_H102 zenon_Hfd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_Hdb zenon_Hdd zenon_Hdf. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.15 apply (zenon_L61_); trivial. % 0.98/1.15 apply (zenon_L420_); trivial. % 0.98/1.15 (* end of lemma zenon_L421_ *) % 0.98/1.15 assert (zenon_L422_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hbe zenon_Hdb zenon_Hdf zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H25a zenon_H259 zenon_H258 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H27e zenon_Hdd zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.15 apply (zenon_L417_); trivial. % 0.98/1.15 apply (zenon_L347_); trivial. % 0.98/1.15 apply (zenon_L421_); trivial. % 0.98/1.15 (* end of lemma zenon_L422_ *) % 0.98/1.15 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.15 do 0 intro. intros zenon_Ha4 zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.15 apply (zenon_L276_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.15 apply (zenon_L338_); trivial. % 0.98/1.15 apply (zenon_L377_); trivial. % 0.98/1.15 (* end of lemma zenon_L423_ *) % 0.98/1.15 assert (zenon_L424_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c0_1 (a907))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H21b zenon_H1b5 zenon_Hc4 zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Hdf zenon_Hdb zenon_Hbe zenon_H168 zenon_H111 zenon_H21f zenon_Hd zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H22b zenon_H22f. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.15 apply (zenon_L321_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L422_); trivial. % 0.98/1.15 apply (zenon_L423_); trivial. % 0.98/1.15 apply (zenon_L181_); trivial. % 0.98/1.15 apply (zenon_L191_); trivial. % 0.98/1.15 (* end of lemma zenon_L424_ *) % 0.98/1.15 assert (zenon_L425_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a907))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H261 zenon_H29e zenon_H1b3 zenon_H87 zenon_H22f zenon_H22b zenon_H21f zenon_H111 zenon_H168 zenon_Hbe zenon_Hdb zenon_Hdf zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H1 zenon_H7 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134 zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_Hc4 zenon_H1b5 zenon_H21b zenon_H196 zenon_Hd9. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 0.98/1.15 apply (zenon_L424_); trivial. % 0.98/1.15 apply (zenon_L142_); trivial. % 0.98/1.15 (* end of lemma zenon_L425_ *) % 0.98/1.15 assert (zenon_L426_ : (forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H287 zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 0.98/1.15 generalize (zenon_H287 (a903)). zenon_intro zenon_H2ca. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cb ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.98/1.15 exact (zenon_H2c7 zenon_H2cd). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ]. % 0.98/1.15 exact (zenon_H2cf zenon_H2c8). % 0.98/1.15 exact (zenon_H2ce zenon_H2c9). % 0.98/1.15 (* end of lemma zenon_L426_ *) % 0.98/1.15 assert (zenon_L427_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H178 zenon_H12 zenon_H241 zenon_H2c8 zenon_H2c9. % 0.98/1.15 generalize (zenon_H178 (a903)). zenon_intro zenon_H2d0. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d1 ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2cc ]. % 0.98/1.15 generalize (zenon_H241 (a903)). zenon_intro zenon_H2d3. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d4 ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d5 ]. % 0.98/1.15 exact (zenon_H2cf zenon_H2c8). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2ce ]. % 0.98/1.15 exact (zenon_H2d6 zenon_H2d2). % 0.98/1.15 exact (zenon_H2ce zenon_H2c9). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ]. % 0.98/1.15 exact (zenon_H2cf zenon_H2c8). % 0.98/1.15 exact (zenon_H2ce zenon_H2c9). % 0.98/1.15 (* end of lemma zenon_L427_ *) % 0.98/1.15 assert (zenon_L428_ : ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c3_1 (a903))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (~(hskp9)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2d7 zenon_H2c7 zenon_H2c9 zenon_H2c8 zenon_H12 zenon_H178 zenon_Hd. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H287 | zenon_intro zenon_H2d8 ]. % 0.98/1.15 apply (zenon_L426_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H241 | zenon_intro zenon_He ]. % 0.98/1.15 apply (zenon_L427_); trivial. % 0.98/1.15 exact (zenon_Hd zenon_He). % 0.98/1.15 (* end of lemma zenon_L428_ *) % 0.98/1.15 assert (zenon_L429_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp9)) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp23)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H219 zenon_Hd zenon_H2c8 zenon_H2c9 zenon_H2c7 zenon_H2d7 zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H1d9 zenon_H31. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 0.98/1.15 apply (zenon_L428_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 0.98/1.15 apply (zenon_L290_); trivial. % 0.98/1.15 exact (zenon_H31 zenon_H32). % 0.98/1.15 (* end of lemma zenon_L429_ *) % 0.98/1.15 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp23)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c3_1 (a903))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp7)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H70 zenon_H2a8 zenon_H31 zenon_H2d7 zenon_H2c7 zenon_H2c9 zenon_H2c8 zenon_Hd zenon_H219 zenon_Hb. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 0.98/1.15 apply (zenon_L428_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 0.98/1.15 apply (zenon_L429_); trivial. % 0.98/1.15 exact (zenon_Hb zenon_Hc). % 0.98/1.15 (* end of lemma zenon_L430_ *) % 0.98/1.15 assert (zenon_L431_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> (~(c1_1 (a969))) -> (~(c2_1 (a969))) -> (c0_1 (a969)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H75 zenon_H2a8 zenon_Hb zenon_H31 zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_H13d zenon_H9 zenon_H3a zenon_H3b zenon_H3c zenon_H87 zenon_Ha7 zenon_H14b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.15 apply (zenon_L94_); trivial. % 0.98/1.15 apply (zenon_L430_); trivial. % 0.98/1.15 (* end of lemma zenon_L431_ *) % 0.98/1.15 assert (zenon_L432_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c3_1 (a978)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a978))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H28f zenon_H16 zenon_H15 zenon_H14 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H62. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 0.98/1.15 apply (zenon_L10_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 0.98/1.15 apply (zenon_L426_); trivial. % 0.98/1.15 exact (zenon_H62 zenon_H63). % 0.98/1.15 (* end of lemma zenon_L432_ *) % 0.98/1.15 assert (zenon_L433_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp14)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2b zenon_H2c zenon_H62 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f zenon_H27 zenon_H29. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H15 | zenon_intro zenon_H30 ]. % 0.98/1.15 apply (zenon_L432_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.98/1.15 exact (zenon_H27 zenon_H28). % 0.98/1.15 exact (zenon_H29 zenon_H2a). % 0.98/1.15 (* end of lemma zenon_L433_ *) % 0.98/1.15 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc1 zenon_Hbf zenon_H2c zenon_H29 zenon_H27 zenon_H62 zenon_H28f zenon_H14b zenon_Ha7 zenon_H87 zenon_H13d zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H31 zenon_Hb zenon_H2a8 zenon_H75. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.15 apply (zenon_L431_); trivial. % 0.98/1.15 apply (zenon_L433_); trivial. % 0.98/1.15 (* end of lemma zenon_L434_ *) % 0.98/1.15 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hd6 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L272_); trivial. % 0.98/1.15 apply (zenon_L43_); trivial. % 0.98/1.15 (* end of lemma zenon_L435_ *) % 0.98/1.15 assert (zenon_L436_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2d9 zenon_H19d zenon_H19c zenon_H19b zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H1dd. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H19a | zenon_intro zenon_H2da ]. % 0.98/1.15 apply (zenon_L126_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H287 | zenon_intro zenon_H1de ]. % 0.98/1.15 apply (zenon_L426_); trivial. % 0.98/1.15 exact (zenon_H1dd zenon_H1de). % 0.98/1.15 (* end of lemma zenon_L436_ *) % 0.98/1.15 assert (zenon_L437_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp17)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2db zenon_H1fd zenon_H1fc zenon_H204 zenon_H12 zenon_Hdb zenon_H150. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ]. % 0.98/1.15 generalize (zenon_H2dd (a937)). zenon_intro zenon_H2de. % 0.98/1.15 apply (zenon_imply_s _ _ zenon_H2de); [ zenon_intro zenon_H11 | zenon_intro zenon_H2df ]. % 0.98/1.15 exact (zenon_H11 zenon_H12). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H208 | zenon_intro zenon_H200 ]. % 0.98/1.15 exact (zenon_H204 zenon_H208). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.98/1.15 exact (zenon_H1fc zenon_H203). % 0.98/1.15 exact (zenon_H202 zenon_H1fd). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_Hdc | zenon_intro zenon_H151 ]. % 0.98/1.15 exact (zenon_Hdb zenon_Hdc). % 0.98/1.15 exact (zenon_H150 zenon_H151). % 0.98/1.15 (* end of lemma zenon_L437_ *) % 0.98/1.15 assert (zenon_L438_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(hskp17)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H210 zenon_H2db zenon_Hdb zenon_H150. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.15 apply (zenon_L437_); trivial. % 0.98/1.15 (* end of lemma zenon_L438_ *) % 0.98/1.15 assert (zenon_L439_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp17)) -> (~(hskp0)) -> (ndr1_0) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H20f zenon_H2db zenon_H150 zenon_Hdb zenon_H12 zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.15 apply (zenon_L436_); trivial. % 0.98/1.15 apply (zenon_L438_); trivial. % 0.98/1.15 (* end of lemma zenon_L439_ *) % 0.98/1.15 assert (zenon_L440_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H191 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H37 zenon_H35 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.15 apply (zenon_L122_); trivial. % 0.98/1.15 apply (zenon_L47_); trivial. % 0.98/1.15 (* end of lemma zenon_L440_ *) % 0.98/1.15 assert (zenon_L441_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L440_); trivial. % 0.98/1.15 apply (zenon_L43_); trivial. % 0.98/1.15 (* end of lemma zenon_L441_ *) % 0.98/1.15 assert (zenon_L442_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H112 zenon_H195 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.15 apply (zenon_L439_); trivial. % 0.98/1.15 apply (zenon_L441_); trivial. % 0.98/1.15 (* end of lemma zenon_L442_ *) % 0.98/1.15 assert (zenon_L443_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H115 zenon_H195 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.15 apply (zenon_L81_); trivial. % 0.98/1.15 apply (zenon_L442_); trivial. % 0.98/1.15 (* end of lemma zenon_L443_ *) % 0.98/1.15 assert (zenon_L444_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H1a6 zenon_H116 zenon_Hda zenon_Hba zenon_Ha7 zenon_H8b zenon_Hf zenon_Hd zenon_H76 zenon_H60 zenon_H71 zenon_H6e zenon_H75 zenon_Hbf zenon_Hd9 zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H20f zenon_H2db zenon_Hdb zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H191 zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H195 zenon_H115. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.98/1.15 apply (zenon_L443_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.15 apply (zenon_L58_); trivial. % 0.98/1.15 apply (zenon_L442_); trivial. % 0.98/1.15 (* end of lemma zenon_L444_ *) % 0.98/1.15 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H1fd zenon_H1fc zenon_H204 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L136_); trivial. % 0.98/1.15 apply (zenon_L176_); trivial. % 0.98/1.15 (* end of lemma zenon_L445_ *) % 0.98/1.15 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H192 zenon_H20f zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H91 zenon_Hbe zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H14c zenon_H21 zenon_H89 zenon_H12f zenon_H87 zenon_H1df zenon_H137 zenon_H139 zenon_H75. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.15 apply (zenon_L153_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_L161_); trivial. % 0.98/1.15 apply (zenon_L445_); trivial. % 0.98/1.15 (* end of lemma zenon_L446_ *) % 0.98/1.15 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp21)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(hskp14)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H148 zenon_H28f zenon_Hdd zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H62. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.98/1.15 apply (zenon_L45_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.98/1.15 apply (zenon_L157_); trivial. % 0.98/1.15 exact (zenon_Hdd zenon_Hde). % 0.98/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 0.98/1.15 apply (zenon_L426_); trivial. % 0.98/1.15 exact (zenon_H62 zenon_H63). % 0.98/1.15 (* end of lemma zenon_L447_ *) % 0.98/1.15 assert (zenon_L448_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H14b zenon_H28f zenon_H62 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H5c zenon_H9 zenon_H13d. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_L91_); trivial. % 0.98/1.15 apply (zenon_L447_); trivial. % 0.98/1.15 (* end of lemma zenon_L448_ *) % 0.98/1.15 assert (zenon_L449_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp21)) -> False). % 0.98/1.15 do 0 intro. intros zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H1d9 zenon_Hdd. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 0.98/1.15 apply (zenon_L45_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 0.98/1.15 apply (zenon_L290_); trivial. % 0.98/1.15 exact (zenon_Hdd zenon_Hde). % 0.98/1.15 (* end of lemma zenon_L449_ *) % 0.98/1.15 assert (zenon_L450_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H75 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H13d zenon_H9 zenon_H1ed zenon_Hdd zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.15 apply (zenon_L448_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H187 | zenon_intro zenon_H1e4 ]. % 0.98/1.15 apply (zenon_L120_); trivial. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H13c ]. % 0.98/1.15 apply (zenon_L449_); trivial. % 0.98/1.15 exact (zenon_H13b zenon_H13c). % 0.98/1.15 apply (zenon_L447_); trivial. % 0.98/1.15 (* end of lemma zenon_L450_ *) % 0.98/1.15 assert (zenon_L451_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp13)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H2b zenon_H14b zenon_H76 zenon_H62 zenon_H105 zenon_H104 zenon_H103 zenon_H89 zenon_H236 zenon_H251 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H20d zenon_H20b zenon_H97 zenon_H98 zenon_H99 zenon_H1b5 zenon_H1b7 zenon_H4d zenon_H4e zenon_H209 zenon_H1a4. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_L217_); trivial. % 0.98/1.15 apply (zenon_L258_); trivial. % 0.98/1.15 (* end of lemma zenon_L451_ *) % 0.98/1.15 assert (zenon_L452_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c3_1 (a928))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_Hbf zenon_H1e3 zenon_H189 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H4d zenon_H4e zenon_H209 zenon_H1a4 zenon_H14b zenon_H76 zenon_H62 zenon_H236 zenon_H251 zenon_H13d zenon_H1df zenon_H1dd zenon_H18a zenon_H188 zenon_H137 zenon_H139 zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L136_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_L91_); trivial. % 0.98/1.15 apply (zenon_L258_); trivial. % 0.98/1.15 apply (zenon_L152_); trivial. % 0.98/1.15 apply (zenon_L451_); trivial. % 0.98/1.15 (* end of lemma zenon_L452_ *) % 0.98/1.15 assert (zenon_L453_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (c0_1 (a913)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H192 zenon_H20f zenon_H57 zenon_Hc4 zenon_Hbf zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H4d zenon_H4e zenon_H209 zenon_H1a4 zenon_H14b zenon_H28f zenon_H62 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H13d zenon_H1e3 zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_H139 zenon_H137 zenon_H1df zenon_H251 zenon_H236 zenon_H76 zenon_H111. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.15 apply (zenon_L136_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.15 apply (zenon_L450_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_L217_); trivial. % 0.98/1.15 apply (zenon_L447_); trivial. % 0.98/1.15 apply (zenon_L452_); trivial. % 0.98/1.15 apply (zenon_L222_); trivial. % 0.98/1.15 (* end of lemma zenon_L453_ *) % 0.98/1.15 assert (zenon_L454_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(c1_1 (a907))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H196 zenon_H1b6 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.15 apply (zenon_L225_); trivial. % 0.98/1.15 apply (zenon_L243_); trivial. % 0.98/1.15 (* end of lemma zenon_L454_ *) % 0.98/1.15 assert (zenon_L455_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp12)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H14b zenon_H25 zenon_H21 zenon_Hdd zenon_H23f zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H19b zenon_H19c zenon_H19d zenon_H23 zenon_H24d. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.15 apply (zenon_L256_); trivial. % 0.98/1.15 apply (zenon_L246_); trivial. % 0.98/1.15 (* end of lemma zenon_L455_ *) % 0.98/1.15 assert (zenon_L456_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hbf zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H1a4 zenon_H75 zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H13d zenon_H23f zenon_Hdd zenon_H19d zenon_H19c zenon_H19b zenon_H21 zenon_H23 zenon_H25 zenon_H14b zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H16a. % 0.98/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.98/1.15 apply (zenon_L249_); trivial. % 0.98/1.15 apply (zenon_L229_); trivial. % 0.98/1.15 apply (zenon_L254_); trivial. % 0.98/1.15 (* end of lemma zenon_L456_ *) % 0.98/1.15 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H210 zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H71 zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H75 zenon_H1a4 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_Hbf. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_L456_); trivial. % 0.98/1.15 apply (zenon_L445_); trivial. % 0.98/1.15 (* end of lemma zenon_L457_ *) % 0.98/1.15 assert (zenon_L458_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H20f zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H71 zenon_H37 zenon_H91 zenon_Hbe zenon_H16a zenon_H1ed zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H23f zenon_H13d zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.15 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.15 apply (zenon_L225_); trivial. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.15 apply (zenon_L436_); trivial. % 0.98/1.15 apply (zenon_L457_); trivial. % 0.98/1.15 (* end of lemma zenon_L458_ *) % 0.98/1.15 assert (zenon_L459_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp12)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 0.98/1.15 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H24d zenon_H23 zenon_H19d zenon_H19c zenon_H19b zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H23f zenon_H21 zenon_H25 zenon_H14b. % 0.98/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.15 apply (zenon_L455_); trivial. % 0.98/1.15 apply (zenon_L181_); trivial. % 0.98/1.15 (* end of lemma zenon_L459_ *) % 0.98/1.15 assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H1fd zenon_H1fc zenon_H204 zenon_H209 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H188 zenon_H189 zenon_H18a zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L440_); trivial. % 0.98/1.16 apply (zenon_L176_); trivial. % 0.98/1.16 (* end of lemma zenon_L460_ *) % 0.98/1.16 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H210 zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H91 zenon_H37 zenon_H188 zenon_H189 zenon_H18a zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_Hee zenon_Hed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hf9 zenon_Hfd zenon_H102. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.16 apply (zenon_L203_); trivial. % 0.98/1.16 apply (zenon_L460_); trivial. % 0.98/1.16 (* end of lemma zenon_L461_ *) % 0.98/1.16 assert (zenon_L462_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_H219 zenon_H168 zenon_H20f zenon_H2db zenon_Hdb zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdf zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H191 zenon_H37 zenon_H91 zenon_Hc0 zenon_H209 zenon_H76 zenon_H20b zenon_H20d zenon_Hc4 zenon_H111 zenon_H195. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.16 apply (zenon_L436_); trivial. % 0.98/1.16 apply (zenon_L461_); trivial. % 0.98/1.16 apply (zenon_L205_); trivial. % 0.98/1.16 (* end of lemma zenon_L462_ *) % 0.98/1.16 assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H192 zenon_H20f zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.16 apply (zenon_L436_); trivial. % 0.98/1.16 apply (zenon_L222_); trivial. % 0.98/1.16 (* end of lemma zenon_L463_ *) % 0.98/1.16 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(c1_1 (a907))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H196 zenon_H1b6 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H87 zenon_H89 zenon_H8b zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_L243_); trivial. % 0.98/1.16 (* end of lemma zenon_L464_ *) % 0.98/1.16 assert (zenon_L465_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a907))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H117 zenon_H115 zenon_H102 zenon_Hfd zenon_Hdf zenon_Hbc zenon_H27 zenon_H191 zenon_H111 zenon_H195 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H87 zenon_H91 zenon_Hbe zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H168 zenon_H1d0 zenon_Ha0 zenon_H219 zenon_H1b6 zenon_H196 zenon_Hd9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_L463_); trivial. % 0.98/1.16 apply (zenon_L464_); trivial. % 0.98/1.16 apply (zenon_L462_); trivial. % 0.98/1.16 (* end of lemma zenon_L465_ *) % 0.98/1.16 assert (zenon_L466_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H28f zenon_H266 zenon_H265 zenon_H264 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H62. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 0.98/1.16 apply (zenon_L281_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 0.98/1.16 apply (zenon_L426_); trivial. % 0.98/1.16 exact (zenon_H62 zenon_H63). % 0.98/1.16 (* end of lemma zenon_L466_ *) % 0.98/1.16 assert (zenon_L467_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hbe zenon_H102 zenon_H75 zenon_Hfd zenon_Hf9 zenon_H27e zenon_Hed zenon_Hee zenon_H27c zenon_H57 zenon_H4e zenon_H4d zenon_H5e zenon_H60 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H37 zenon_H35 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.16 apply (zenon_L53_); trivial. % 0.98/1.16 apply (zenon_L295_); trivial. % 0.98/1.16 (* end of lemma zenon_L467_ *) % 0.98/1.16 assert (zenon_L468_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H60 zenon_H5e zenon_H4d zenon_H4e zenon_H57 zenon_H27c zenon_Hee zenon_Hed zenon_H27e zenon_Hf9 zenon_Hfd zenon_H75 zenon_H102 zenon_Hbe. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L467_); trivial. % 0.98/1.16 apply (zenon_L43_); trivial. % 0.98/1.16 (* end of lemma zenon_L468_ *) % 0.98/1.16 assert (zenon_L469_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H1ed zenon_Hdd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L406_); trivial. % 0.98/1.16 apply (zenon_L43_); trivial. % 0.98/1.16 (* end of lemma zenon_L469_ *) % 0.98/1.16 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc5 zenon_H111 zenon_H10c zenon_H23 zenon_H91 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.16 apply (zenon_L469_); trivial. % 0.98/1.16 apply (zenon_L73_); trivial. % 0.98/1.16 (* end of lemma zenon_L470_ *) % 0.98/1.16 assert (zenon_L471_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hd9 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_L466_); trivial. % 0.98/1.16 apply (zenon_L435_); trivial. % 0.98/1.16 (* end of lemma zenon_L471_ *) % 0.98/1.16 assert (zenon_L472_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H112 zenon_H195 zenon_H102 zenon_Hfd zenon_H264 zenon_H266 zenon_H285 zenon_H191 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_L302_); trivial. % 0.98/1.16 (* end of lemma zenon_L472_ *) % 0.98/1.16 assert (zenon_L473_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H1a6 zenon_H115 zenon_H195 zenon_H102 zenon_Hfd zenon_H264 zenon_H285 zenon_H191 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hdb zenon_H2db zenon_H20f zenon_Hbe zenon_H91 zenon_H37 zenon_Ha7 zenon_H87 zenon_H266 zenon_H265 zenon_H8b zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.16 apply (zenon_L288_); trivial. % 0.98/1.16 apply (zenon_L472_); trivial. % 0.98/1.16 (* end of lemma zenon_L473_ *) % 0.98/1.16 assert (zenon_L474_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H115 zenon_H195 zenon_H102 zenon_Hfd zenon_H285 zenon_H191 zenon_H2d9 zenon_Hdb zenon_H2db zenon_H20f zenon_Ha7 zenon_H87 zenon_H8b zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_Hbe zenon_H139 zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hd9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 0.98/1.16 apply (zenon_L471_); trivial. % 0.98/1.16 apply (zenon_L473_); trivial. % 0.98/1.16 (* end of lemma zenon_L474_ *) % 0.98/1.16 assert (zenon_L475_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_L466_); trivial. % 0.98/1.16 apply (zenon_L205_); trivial. % 0.98/1.16 (* end of lemma zenon_L475_ *) % 0.98/1.16 assert (zenon_L476_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.16 apply (zenon_L81_); trivial. % 0.98/1.16 apply (zenon_L475_); trivial. % 0.98/1.16 (* end of lemma zenon_L476_ *) % 0.98/1.16 assert (zenon_L477_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H19d zenon_H19c zenon_H19b zenon_H264 zenon_H266 zenon_H126 zenon_H127 zenon_H128 zenon_H1a4 zenon_Hf9 zenon_Hed zenon_Hee. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.16 apply (zenon_L62_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 0.98/1.16 apply (zenon_L80_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 0.98/1.16 apply (zenon_L300_); trivial. % 0.98/1.16 apply (zenon_L126_); trivial. % 0.98/1.16 apply (zenon_L66_); trivial. % 0.98/1.16 (* end of lemma zenon_L477_ *) % 0.98/1.16 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H192 zenon_H102 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H126 zenon_H127 zenon_H128 zenon_H264 zenon_H266 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_H191. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.16 apply (zenon_L121_); trivial. % 0.98/1.16 apply (zenon_L477_); trivial. % 0.98/1.16 (* end of lemma zenon_L478_ *) % 0.98/1.16 assert (zenon_L479_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H112 zenon_H195 zenon_H102 zenon_Hfd zenon_H126 zenon_H127 zenon_H128 zenon_H264 zenon_H266 zenon_H1a4 zenon_H191 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_L478_); trivial. % 0.98/1.16 (* end of lemma zenon_L479_ *) % 0.98/1.16 assert (zenon_L480_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H115 zenon_H195 zenon_H102 zenon_Hfd zenon_H264 zenon_H266 zenon_H1a4 zenon_H191 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.16 apply (zenon_L81_); trivial. % 0.98/1.16 apply (zenon_L479_); trivial. % 0.98/1.16 (* end of lemma zenon_L480_ *) % 0.98/1.16 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a907))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H117 zenon_H115 zenon_H102 zenon_Hfd zenon_H285 zenon_H191 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_H20f zenon_H2db zenon_Hdb zenon_H19b zenon_H19c zenon_H19d zenon_H2d9 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H168 zenon_H209 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H8b zenon_H87 zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H219 zenon_H1b6 zenon_H196 zenon_H195 zenon_Hd9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_L466_); trivial. % 0.98/1.16 apply (zenon_L464_); trivial. % 0.98/1.16 apply (zenon_L472_); trivial. % 0.98/1.16 (* end of lemma zenon_L481_ *) % 0.98/1.16 assert (zenon_L482_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc9 zenon_Hca zenon_H1e5 zenon_H12 zenon_Ha0. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 0.98/1.16 apply (zenon_L131_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 0.98/1.16 apply (zenon_L184_); trivial. % 0.98/1.16 exact (zenon_Ha0 zenon_Ha1). % 0.98/1.16 (* end of lemma zenon_L482_ *) % 0.98/1.16 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hbe zenon_H219 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e0. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 0.98/1.16 apply (zenon_L129_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 0.98/1.16 apply (zenon_L234_); trivial. % 0.98/1.16 apply (zenon_L482_); trivial. % 0.98/1.16 apply (zenon_L187_); trivial. % 0.98/1.16 (* end of lemma zenon_L483_ *) % 0.98/1.16 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e0 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.16 apply (zenon_L466_); trivial. % 0.98/1.16 apply (zenon_L483_); trivial. % 0.98/1.16 (* end of lemma zenon_L484_ *) % 0.98/1.16 assert (zenon_L485_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H12f zenon_H111 zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_H115 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e0 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_H168 zenon_H219 zenon_Hbe zenon_H196 zenon_Hd9 zenon_H116. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.98/1.16 apply (zenon_L282_); trivial. % 0.98/1.16 apply (zenon_L484_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.98/1.16 apply (zenon_L476_); trivial. % 0.98/1.16 apply (zenon_L484_); trivial. % 0.98/1.16 (* end of lemma zenon_L485_ *) % 0.98/1.16 assert (zenon_L486_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H261 zenon_H29e zenon_H2e0 zenon_H116 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H102 zenon_Hfd zenon_H168 zenon_H16b zenon_Hdb zenon_Hdf zenon_H111 zenon_H21f zenon_H22b zenon_H22f zenon_H264 zenon_H265 zenon_H266 zenon_H25 zenon_H115 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f zenon_H12f zenon_H29f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 0.98/1.16 apply (zenon_L325_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 0.98/1.16 apply (zenon_L476_); trivial. % 0.98/1.16 apply (zenon_L324_); trivial. % 0.98/1.16 apply (zenon_L485_); trivial. % 0.98/1.16 (* end of lemma zenon_L486_ *) % 0.98/1.16 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H70 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_Hdd. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.98/1.16 apply (zenon_L449_); trivial. % 0.98/1.16 exact (zenon_Hdd zenon_Hde). % 0.98/1.16 (* end of lemma zenon_L487_ *) % 0.98/1.16 assert (zenon_L488_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_Hbf zenon_H209 zenon_H14b zenon_Ha7 zenon_H87 zenon_H13d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H75 zenon_H2bf zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L297_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 0.98/1.16 apply (zenon_L410_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_L94_); trivial. % 0.98/1.16 apply (zenon_L487_); trivial. % 0.98/1.16 apply (zenon_L340_); trivial. % 0.98/1.16 (* end of lemma zenon_L488_ *) % 0.98/1.16 assert (zenon_L489_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c1_1 (a928)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H18a zenon_H125 zenon_H188 zenon_H12 zenon_Hdd. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.98/1.16 apply (zenon_L147_); trivial. % 0.98/1.16 exact (zenon_Hdd zenon_Hde). % 0.98/1.16 (* end of lemma zenon_L489_ *) % 0.98/1.16 assert (zenon_L490_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp21)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H14c zenon_Hdd zenon_H188 zenon_H18a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H5c. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.98/1.16 apply (zenon_L489_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.98/1.16 apply (zenon_L45_); trivial. % 0.98/1.16 exact (zenon_H5c zenon_H5d). % 0.98/1.16 (* end of lemma zenon_L490_ *) % 0.98/1.16 assert (zenon_L491_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H75 zenon_H1ed zenon_H27e zenon_Hdd zenon_H18a zenon_H188 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_L490_); trivial. % 0.98/1.16 apply (zenon_L487_); trivial. % 0.98/1.16 (* end of lemma zenon_L491_ *) % 0.98/1.16 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H192 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H1ed zenon_H75. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.16 apply (zenon_L491_); trivial. % 0.98/1.16 apply (zenon_L73_); trivial. % 0.98/1.16 (* end of lemma zenon_L492_ *) % 0.98/1.16 assert (zenon_L493_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp27)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hda zenon_H195 zenon_H14c zenon_H14b zenon_Ha7 zenon_H13d zenon_H27e zenon_H2bf zenon_H152 zenon_H1ed zenon_H16a zenon_H23 zenon_H10c zenon_H111 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H37 zenon_Hf zenon_Hd zenon_Hb zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H6e zenon_H71 zenon_H75 zenon_Hbf zenon_Hc0 zenon_H209 zenon_Hc4. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.16 apply (zenon_L342_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.16 apply (zenon_L488_); trivial. % 0.98/1.16 apply (zenon_L73_); trivial. % 0.98/1.16 apply (zenon_L492_); trivial. % 0.98/1.16 (* end of lemma zenon_L493_ *) % 0.98/1.16 assert (zenon_L494_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a957)) -> (c3_1 (a957)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H197 zenon_H12 zenon_H1e5 zenon_H140 zenon_H141. % 0.98/1.16 generalize (zenon_H197 (a957)). zenon_intro zenon_H2e2. % 0.98/1.16 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e3 ]. % 0.98/1.16 exact (zenon_H11 zenon_H12). % 0.98/1.16 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H144 ]. % 0.98/1.16 apply (zenon_L156_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H147 | zenon_intro zenon_H146 ]. % 0.98/1.16 exact (zenon_H147 zenon_H140). % 0.98/1.16 exact (zenon_H146 zenon_H141). % 0.98/1.16 (* end of lemma zenon_L494_ *) % 0.98/1.16 assert (zenon_L495_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp23)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H141 zenon_H140 zenon_H12 zenon_H197 zenon_H31. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 0.98/1.16 apply (zenon_L117_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 0.98/1.16 apply (zenon_L494_); trivial. % 0.98/1.16 exact (zenon_H31 zenon_H32). % 0.98/1.16 (* end of lemma zenon_L495_ *) % 0.98/1.16 assert (zenon_L496_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp23)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H1d9 zenon_H31. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 0.98/1.16 apply (zenon_L117_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 0.98/1.16 apply (zenon_L290_); trivial. % 0.98/1.16 exact (zenon_H31 zenon_H32). % 0.98/1.16 (* end of lemma zenon_L496_ *) % 0.98/1.16 assert (zenon_L497_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp23)) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp7)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H70 zenon_H2a8 zenon_H31 zenon_H179 zenon_H17a zenon_H17b zenon_H219 zenon_Hb. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 0.98/1.16 apply (zenon_L117_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 0.98/1.16 apply (zenon_L496_); trivial. % 0.98/1.16 exact (zenon_Hb zenon_Hc). % 0.98/1.16 (* end of lemma zenon_L497_ *) % 0.98/1.16 assert (zenon_L498_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> (~(hskp23)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H179 zenon_H17a zenon_H17b zenon_H31 zenon_H219 zenon_H99 zenon_H98 zenon_H97 zenon_H13d zenon_Hb zenon_H2a8 zenon_H75. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.16 apply (zenon_L91_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.16 apply (zenon_L40_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.16 apply (zenon_L495_); trivial. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_L497_); trivial. % 0.98/1.16 apply (zenon_L340_); trivial. % 0.98/1.16 (* end of lemma zenon_L498_ *) % 0.98/1.16 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Ha4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.16 apply (zenon_L498_); trivial. % 0.98/1.16 apply (zenon_L47_); trivial. % 0.98/1.16 (* end of lemma zenon_L499_ *) % 0.98/1.16 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp1))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp27)\/((hskp7)\/(hskp9))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_H75 zenon_H2a8 zenon_H13d zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hc0 zenon_Hbf zenon_Hba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H87 zenon_Ha7 zenon_Hb zenon_Hd zenon_Hf zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L48_); trivial. % 0.98/1.16 apply (zenon_L499_); trivial. % 0.98/1.16 (* end of lemma zenon_L500_ *) % 0.98/1.16 assert (zenon_L501_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H112 zenon_H195 zenon_H196 zenon_Hc4 zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_H22d zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.16 apply (zenon_L439_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.16 apply (zenon_L200_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L440_); trivial. % 0.98/1.16 apply (zenon_L499_); trivial. % 0.98/1.16 (* end of lemma zenon_L501_ *) % 0.98/1.16 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp23)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c3_1 (a903))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp21)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H70 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H31 zenon_H2d7 zenon_H2c7 zenon_H2c9 zenon_H2c8 zenon_Hd zenon_H219 zenon_Hdd. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 0.98/1.16 apply (zenon_L429_); trivial. % 0.98/1.16 exact (zenon_Hdd zenon_Hde). % 0.98/1.16 (* end of lemma zenon_L502_ *) % 0.98/1.16 assert (zenon_L503_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_Hdd zenon_H27e zenon_H75. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_L339_); trivial. % 0.98/1.16 apply (zenon_L502_); trivial. % 0.98/1.16 apply (zenon_L47_); trivial. % 0.98/1.16 (* end of lemma zenon_L503_ *) % 0.98/1.16 assert (zenon_L504_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H75 zenon_H139 zenon_H137 zenon_H188 zenon_H18a zenon_Hdd zenon_H27e zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_L339_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 0.98/1.16 apply (zenon_L489_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 0.98/1.16 apply (zenon_L29_); trivial. % 0.98/1.16 exact (zenon_H137 zenon_H138). % 0.98/1.16 (* end of lemma zenon_L504_ *) % 0.98/1.16 assert (zenon_L505_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (ndr1_0) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H105 zenon_H104 zenon_H103 zenon_H39 zenon_H12 zenon_H79 zenon_H7a zenon_H7b. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 0.98/1.16 apply (zenon_L117_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H56 | zenon_intro zenon_H78 ]. % 0.98/1.16 apply (zenon_L71_); trivial. % 0.98/1.16 apply (zenon_L33_); trivial. % 0.98/1.16 (* end of lemma zenon_L505_ *) % 0.98/1.16 assert (zenon_L506_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp22)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H71 zenon_H7b zenon_H7a zenon_H79 zenon_H103 zenon_H104 zenon_H105 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_Heb zenon_H35. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.98/1.16 apply (zenon_L505_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.98/1.16 apply (zenon_L162_); trivial. % 0.98/1.16 exact (zenon_H35 zenon_H36). % 0.98/1.16 (* end of lemma zenon_L506_ *) % 0.98/1.16 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H93 zenon_H16b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H105 zenon_H104 zenon_H103 zenon_H71 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_H35. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.16 apply (zenon_L506_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_L350_); trivial. % 0.98/1.16 (* end of lemma zenon_L507_ *) % 0.98/1.16 assert (zenon_L508_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H182 zenon_H105 zenon_H104 zenon_H103 zenon_H17b zenon_H17a zenon_H179 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.16 apply (zenon_L135_); trivial. % 0.98/1.16 apply (zenon_L507_); trivial. % 0.98/1.16 (* end of lemma zenon_L508_ *) % 0.98/1.16 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_Hbe. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L508_); trivial. % 0.98/1.16 apply (zenon_L359_); trivial. % 0.98/1.16 (* end of lemma zenon_L509_ *) % 0.98/1.16 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H131 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.16 apply (zenon_L358_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_L78_); trivial. % 0.98/1.16 (* end of lemma zenon_L510_ *) % 0.98/1.16 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Ha4 zenon_H134 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.16 apply (zenon_L143_); trivial. % 0.98/1.16 apply (zenon_L510_); trivial. % 0.98/1.16 (* end of lemma zenon_L511_ *) % 0.98/1.16 assert (zenon_L512_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc4 zenon_H134 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1ce zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H2bf zenon_H150 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H91 zenon_Hbe. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.16 apply (zenon_L135_); trivial. % 0.98/1.16 apply (zenon_L412_); trivial. % 0.98/1.16 apply (zenon_L511_); trivial. % 0.98/1.16 (* end of lemma zenon_L512_ *) % 0.98/1.16 assert (zenon_L513_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp0)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H27c zenon_Hee zenon_Heb zenon_Hed zenon_H141 zenon_H140 zenon_H12 zenon_H197 zenon_Hdb. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H8d | zenon_intro zenon_H27d ]. % 0.98/1.16 apply (zenon_L64_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hdc ]. % 0.98/1.16 apply (zenon_L494_); trivial. % 0.98/1.16 exact (zenon_Hdb zenon_Hdc). % 0.98/1.16 (* end of lemma zenon_L513_ *) % 0.98/1.16 assert (zenon_L514_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H14b zenon_Hfd zenon_Hf9 zenon_H97 zenon_H98 zenon_H99 zenon_H27c zenon_Hdb zenon_Hee zenon_Hed zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_He4 zenon_He3 zenon_He2 zenon_H5c zenon_H9 zenon_H13d. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.16 apply (zenon_L91_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.16 apply (zenon_L62_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.16 apply (zenon_L40_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.16 apply (zenon_L513_); trivial. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_L66_); trivial. % 0.98/1.16 (* end of lemma zenon_L514_ *) % 0.98/1.16 assert (zenon_L515_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Ha4 zenon_H102 zenon_Hbf zenon_H14b zenon_Hfd zenon_Hf9 zenon_H27c zenon_Hee zenon_Hed zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hdb zenon_Hdd zenon_Hdf. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.16 apply (zenon_L61_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.16 apply (zenon_L514_); trivial. % 0.98/1.16 apply (zenon_L380_); trivial. % 0.98/1.16 apply (zenon_L340_); trivial. % 0.98/1.16 (* end of lemma zenon_L515_ *) % 0.98/1.16 assert (zenon_L516_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H27c zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.16 apply (zenon_L69_); trivial. % 0.98/1.16 apply (zenon_L515_); trivial. % 0.98/1.16 (* end of lemma zenon_L516_ *) % 0.98/1.16 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp18)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 0.98/1.16 do 0 intro. intros zenon_H93 zenon_H16b zenon_H166 zenon_H103 zenon_H104 zenon_H105 zenon_Hf9 zenon_Hed zenon_Hee zenon_H168 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_H35. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.16 apply (zenon_L362_); trivial. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.16 apply (zenon_L338_); trivial. % 0.98/1.16 apply (zenon_L350_); trivial. % 0.98/1.16 (* end of lemma zenon_L517_ *) % 0.98/1.16 assert (zenon_L518_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 0.98/1.16 do 0 intro. intros zenon_H196 zenon_H134 zenon_H150 zenon_H1ce zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H182 zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H5e zenon_H60 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H27c zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_Hdb zenon_Hdf zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_H16b zenon_H168 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_H111. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.16 apply (zenon_L516_); trivial. % 0.98/1.16 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L135_); trivial. % 0.98/1.17 apply (zenon_L517_); trivial. % 0.98/1.17 apply (zenon_L354_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L503_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L508_); trivial. % 0.98/1.17 apply (zenon_L511_); trivial. % 0.98/1.17 (* end of lemma zenon_L518_ *) % 0.98/1.17 assert (zenon_L519_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_Hf9 zenon_Hed zenon_Hee. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 0.98/1.17 apply (zenon_L62_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 0.98/1.17 apply (zenon_L358_); trivial. % 0.98/1.17 apply (zenon_L66_); trivial. % 0.98/1.17 (* end of lemma zenon_L519_ *) % 0.98/1.17 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> False). % 0.98/1.17 do 0 intro. intros zenon_Ha4 zenon_H102 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H188 zenon_H189 zenon_H18a zenon_H191. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 0.98/1.17 apply (zenon_L121_); trivial. % 0.98/1.17 apply (zenon_L519_); trivial. % 0.98/1.17 (* end of lemma zenon_L520_ *) % 0.98/1.17 assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L440_); trivial. % 0.98/1.17 apply (zenon_L520_); trivial. % 0.98/1.17 (* end of lemma zenon_L521_ *) % 0.98/1.17 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H210 zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H8b zenon_H89 zenon_H91 zenon_H75 zenon_H27e zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L503_); trivial. % 0.98/1.17 apply (zenon_L445_); trivial. % 0.98/1.17 (* end of lemma zenon_L522_ *) % 0.98/1.17 assert (zenon_L523_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H195 zenon_H20f zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H209 zenon_Hc0 zenon_H71 zenon_H37 zenon_H91 zenon_H75 zenon_H27e zenon_H2d7 zenon_Hd zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H27 zenon_Hbc zenon_Hbe zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L225_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.17 apply (zenon_L436_); trivial. % 0.98/1.17 apply (zenon_L522_); trivial. % 0.98/1.17 (* end of lemma zenon_L523_ *) % 0.98/1.17 assert (zenon_L524_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hbe zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H103 zenon_H104 zenon_H105 zenon_H182 zenon_H37 zenon_H35 zenon_H219 zenon_Hc9 zenon_Hca zenon_H17b zenon_H17a zenon_H179 zenon_H91 zenon_Hc0. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L409_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.98/1.17 apply (zenon_L505_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.98/1.17 apply (zenon_L133_); trivial. % 0.98/1.17 exact (zenon_H35 zenon_H36). % 0.98/1.17 (* end of lemma zenon_L524_ *) % 0.98/1.17 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H91 zenon_H179 zenon_H17a zenon_H17b zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L524_); trivial. % 0.98/1.17 apply (zenon_L359_); trivial. % 0.98/1.17 (* end of lemma zenon_L525_ *) % 0.98/1.17 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H184 zenon_H111 zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_H75 zenon_H27e zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L503_); trivial. % 0.98/1.17 apply (zenon_L525_); trivial. % 0.98/1.17 (* end of lemma zenon_L526_ *) % 0.98/1.17 assert (zenon_L527_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp23)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c3_1 (a903))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H148 zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H31 zenon_H2d7 zenon_H2c7 zenon_H2c9 zenon_H2c8 zenon_Hd zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.17 apply (zenon_L40_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 0.98/1.17 apply (zenon_L428_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 0.98/1.17 apply (zenon_L494_); trivial. % 0.98/1.17 exact (zenon_H31 zenon_H32). % 0.98/1.17 apply (zenon_L338_); trivial. % 0.98/1.17 (* end of lemma zenon_L527_ *) % 0.98/1.17 assert (zenon_L528_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(hskp23)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H31 zenon_H219 zenon_H99 zenon_H98 zenon_H97 zenon_H5c zenon_H9 zenon_H13d. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.98/1.17 apply (zenon_L91_); trivial. % 0.98/1.17 apply (zenon_L527_); trivial. % 0.98/1.17 (* end of lemma zenon_L528_ *) % 0.98/1.17 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Ha4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H75 zenon_H27e zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H13d zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 0.98/1.17 apply (zenon_L528_); trivial. % 0.98/1.17 apply (zenon_L487_); trivial. % 0.98/1.17 apply (zenon_L340_); trivial. % 0.98/1.17 apply (zenon_L47_); trivial. % 0.98/1.17 (* end of lemma zenon_L529_ *) % 0.98/1.17 assert (zenon_L530_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H75 zenon_H27e zenon_H13d zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_H1ed zenon_Hdd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L406_); trivial. % 0.98/1.17 apply (zenon_L529_); trivial. % 0.98/1.17 (* end of lemma zenon_L530_ *) % 0.98/1.17 assert (zenon_L531_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_H91 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H13d zenon_H27e zenon_H75 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_Hc4. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L530_); trivial. % 0.98/1.17 apply (zenon_L181_); trivial. % 0.98/1.17 (* end of lemma zenon_L531_ *) % 0.98/1.17 assert (zenon_L532_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H184 zenon_H111 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_Hc0 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_H91 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H13d zenon_H27e zenon_H75 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_Hc4. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L530_); trivial. % 0.98/1.17 apply (zenon_L525_); trivial. % 0.98/1.17 (* end of lemma zenon_L532_ *) % 0.98/1.17 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H196 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_Hc0 zenon_H37 zenon_H182 zenon_H71 zenon_Hc4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H75 zenon_H27e zenon_H13d zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H168 zenon_H111 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L225_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_L531_); trivial. % 0.98/1.17 apply (zenon_L532_); trivial. % 0.98/1.17 (* end of lemma zenon_L533_ *) % 0.98/1.17 assert (zenon_L534_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H27c zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L440_); trivial. % 0.98/1.17 apply (zenon_L515_); trivial. % 0.98/1.17 (* end of lemma zenon_L534_ *) % 0.98/1.17 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H192 zenon_H196 zenon_H111 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_Hca zenon_Hc9 zenon_H219 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H191 zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Hdf zenon_Hdb zenon_H75 zenon_H27e zenon_H13d zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H27c zenon_H14b zenon_Hbf zenon_Hc4 zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_L200_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L534_); trivial. % 0.98/1.17 apply (zenon_L525_); trivial. % 0.98/1.17 (* end of lemma zenon_L535_ *) % 0.98/1.17 assert (zenon_L536_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_H219 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_H22d zenon_H20f zenon_H2db zenon_Hdb zenon_H19b zenon_H19c zenon_H19d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d9 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H27c zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hdf zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_H76 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_H111 zenon_H195. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L439_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.17 apply (zenon_L436_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L534_); trivial. % 0.98/1.17 apply (zenon_L460_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L439_); trivial. % 0.98/1.17 apply (zenon_L535_); trivial. % 0.98/1.17 (* end of lemma zenon_L536_ *) % 0.98/1.17 assert (zenon_L537_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp28)) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H71 zenon_H14e zenon_H7b zenon_H7a zenon_H79 zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H35. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H43 | zenon_intro zenon_H246 ]. % 0.98/1.17 apply (zenon_L133_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H64 | zenon_intro zenon_H14f ]. % 0.98/1.17 apply (zenon_L85_); trivial. % 0.98/1.17 exact (zenon_H14e zenon_H14f). % 0.98/1.17 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 0.98/1.17 apply (zenon_L133_); trivial. % 0.98/1.17 exact (zenon_H35 zenon_H36). % 0.98/1.17 (* end of lemma zenon_L537_ *) % 0.98/1.17 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H93 zenon_H16a zenon_H1ed zenon_Hdd zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H35 zenon_H71. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 0.98/1.17 apply (zenon_L537_); trivial. % 0.98/1.17 apply (zenon_L229_); trivial. % 0.98/1.17 (* end of lemma zenon_L538_ *) % 0.98/1.17 assert (zenon_L539_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hbe zenon_H16a zenon_H1ed zenon_Hdd zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H245 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L135_); trivial. % 0.98/1.17 apply (zenon_L538_); trivial. % 0.98/1.17 (* end of lemma zenon_L539_ *) % 0.98/1.17 assert (zenon_L540_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_H20d zenon_H20b zenon_H18a zenon_H189 zenon_H188 zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H1fd zenon_H1fc zenon_H204 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a zenon_Hbe. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L539_); trivial. % 0.98/1.17 apply (zenon_L221_); trivial. % 0.98/1.17 (* end of lemma zenon_L540_ *) % 0.98/1.17 assert (zenon_L541_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H210 zenon_H111 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1b7 zenon_H1b5 zenon_H188 zenon_H189 zenon_H18a zenon_H20b zenon_H20d zenon_Hc4. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L540_); trivial. % 0.98/1.17 apply (zenon_L445_); trivial. % 0.98/1.17 (* end of lemma zenon_L541_ *) % 0.98/1.17 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H111 zenon_H8b zenon_H89 zenon_H87 zenon_H91 zenon_Hbe zenon_H16a zenon_H1ed zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L439_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 0.98/1.17 apply (zenon_L436_); trivial. % 0.98/1.17 apply (zenon_L541_); trivial. % 0.98/1.17 (* end of lemma zenon_L542_ *) % 0.98/1.17 assert (zenon_L543_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H195 zenon_H196 zenon_H111 zenon_H182 zenon_H75 zenon_H27e zenon_H2d7 zenon_Hd zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H27 zenon_Hbc zenon_Hbe zenon_H37 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L225_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_L242_); trivial. % 0.98/1.17 apply (zenon_L526_); trivial. % 0.98/1.17 (* end of lemma zenon_L543_ *) % 0.98/1.17 assert (zenon_L544_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H117 zenon_H115 zenon_H22d zenon_H27c zenon_Hdf zenon_H102 zenon_Hfd zenon_H191 zenon_Hda zenon_H16a zenon_H1ed zenon_H245 zenon_Hdb zenon_H2db zenon_H134 zenon_H8b zenon_H87 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hbe zenon_Hbc zenon_H27 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H219 zenon_Hd zenon_H2d7 zenon_H27e zenon_H75 zenon_H91 zenon_H37 zenon_H71 zenon_Hc0 zenon_H209 zenon_H76 zenon_H1b7 zenon_H1b5 zenon_H20b zenon_H20d zenon_Hc4 zenon_H111 zenon_H20f zenon_H195 zenon_H196 zenon_H182 zenon_H168 zenon_H13d zenon_H14b zenon_Hbf zenon_Hd9. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.17 apply (zenon_L523_); trivial. % 0.98/1.17 apply (zenon_L542_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.17 apply (zenon_L543_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L439_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_L242_); trivial. % 0.98/1.17 apply (zenon_L532_); trivial. % 0.98/1.17 apply (zenon_L536_); trivial. % 0.98/1.17 (* end of lemma zenon_L544_ *) % 0.98/1.17 assert (zenon_L545_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H60 zenon_H5e zenon_H4d zenon_H4e zenon_H57 zenon_H27c zenon_Hee zenon_Hed zenon_H27e zenon_Hf9 zenon_Hfd zenon_H75 zenon_H102 zenon_Hbe. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L467_); trivial. % 0.98/1.17 apply (zenon_L378_); trivial. % 0.98/1.17 (* end of lemma zenon_L545_ *) % 0.98/1.17 assert (zenon_L546_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H182 zenon_H105 zenon_H104 zenon_H103 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H35 zenon_H219 zenon_Hc9 zenon_Hca zenon_H17b zenon_H17a zenon_H179 zenon_H91 zenon_Hc0. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L409_); trivial. % 0.98/1.17 apply (zenon_L507_); trivial. % 0.98/1.17 (* end of lemma zenon_L546_ *) % 0.98/1.17 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H265 zenon_H264 zenon_H266 zenon_H209 zenon_Hc0 zenon_H91 zenon_H179 zenon_H17a zenon_H17b zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H182 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L546_); trivial. % 0.98/1.17 apply (zenon_L378_); trivial. % 0.98/1.17 (* end of lemma zenon_L547_ *) % 0.98/1.17 assert (zenon_L548_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a923)) -> (~(c3_1 (a923))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_H265 zenon_H264 zenon_H266 zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H16b zenon_H2bf zenon_H150 zenon_H223 zenon_H222 zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1b6 zenon_Hfd zenon_H102 zenon_Hbe. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L53_); trivial. % 0.98/1.17 apply (zenon_L394_); trivial. % 0.98/1.17 apply (zenon_L378_); trivial. % 0.98/1.17 (* end of lemma zenon_L548_ *) % 0.98/1.17 assert (zenon_L549_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hbe zenon_H102 zenon_Hfd zenon_H1b6 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b7 zenon_H1b5 zenon_H222 zenon_H223 zenon_H150 zenon_H2bf zenon_H16b zenon_Hdb zenon_Hdf zenon_H37 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0 zenon_H266 zenon_H264 zenon_H265 zenon_Hc4. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 0.98/1.17 apply (zenon_L548_); trivial. % 0.98/1.17 apply (zenon_L181_); trivial. % 0.98/1.17 (* end of lemma zenon_L549_ *) % 0.98/1.17 assert (zenon_L550_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11))))) -> (ndr1_0) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H2e4 zenon_H12 zenon_H2e5 zenon_H2e6 zenon_H2e7. % 0.98/1.17 generalize (zenon_H2e4 (a901)). zenon_intro zenon_H2e8. % 0.98/1.17 apply (zenon_imply_s _ _ zenon_H2e8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e9 ]. % 0.98/1.17 exact (zenon_H11 zenon_H12). % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2eb | zenon_intro zenon_H2ea ]. % 0.98/1.17 exact (zenon_H2e5 zenon_H2eb). % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ]. % 0.98/1.17 exact (zenon_H2e6 zenon_H2ed). % 0.98/1.17 exact (zenon_H2e7 zenon_H2ec). % 0.98/1.17 (* end of lemma zenon_L550_ *) % 0.98/1.17 assert (zenon_L551_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp9)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H1a6 zenon_H2ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hd. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2ef ]. % 0.98/1.17 apply (zenon_L550_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H19a | zenon_intro zenon_He ]. % 0.98/1.17 apply (zenon_L126_); trivial. % 0.98/1.17 exact (zenon_Hd zenon_He). % 0.98/1.17 (* end of lemma zenon_L551_ *) % 0.98/1.17 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H2ee zenon_Hd zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hbe zenon_H139 zenon_H91 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 0.98/1.17 apply (zenon_L140_); trivial. % 0.98/1.17 apply (zenon_L551_); trivial. % 0.98/1.17 (* end of lemma zenon_L552_ *) % 0.98/1.17 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp8)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.98/1.17 do 0 intro. intros zenon_Ha4 zenon_H2ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H20b zenon_H188 zenon_H189 zenon_H18a zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H4d zenon_H4e zenon_H20d zenon_Hd. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2ef ]. % 0.98/1.17 apply (zenon_L550_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H19a | zenon_intro zenon_He ]. % 0.98/1.17 apply (zenon_L216_); trivial. % 0.98/1.17 exact (zenon_Hd zenon_He). % 0.98/1.17 (* end of lemma zenon_L553_ *) % 0.98/1.17 assert (zenon_L554_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H2ee zenon_Hd zenon_H209 zenon_H4e zenon_H4d zenon_H20b zenon_H20d zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H91 zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L169_); trivial. % 0.98/1.17 apply (zenon_L553_); trivial. % 0.98/1.17 (* end of lemma zenon_L554_ *) % 0.98/1.17 assert (zenon_L555_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hc4 zenon_H2ee zenon_Hd zenon_H209 zenon_H4e zenon_H4d zenon_H1b7 zenon_H1b5 zenon_H188 zenon_H189 zenon_H18a zenon_H20b zenon_H20d zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a zenon_Hbe. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L539_); trivial. % 0.98/1.17 apply (zenon_L553_); trivial. % 0.98/1.17 (* end of lemma zenon_L555_ *) % 0.98/1.17 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp9)) -> False). % 0.98/1.17 do 0 intro. intros zenon_Ha4 zenon_H2ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H4e zenon_H4d zenon_H168 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H105 zenon_H104 zenon_H103 zenon_H166 zenon_H209 zenon_Hd. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2ef ]. % 0.98/1.17 apply (zenon_L550_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H19a | zenon_intro zenon_He ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.17 apply (zenon_L40_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.17 apply (zenon_L353_); trivial. % 0.98/1.17 apply (zenon_L214_); trivial. % 0.98/1.17 exact (zenon_Hd zenon_He). % 0.98/1.17 (* end of lemma zenon_L556_ *) % 0.98/1.17 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H2ee zenon_Hd zenon_H168 zenon_H166 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H4d zenon_H4e zenon_H209 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H134 zenon_H8b zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H91 zenon_Hbe. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L169_); trivial. % 0.98/1.17 apply (zenon_L556_); trivial. % 0.98/1.17 (* end of lemma zenon_L557_ *) % 0.98/1.17 assert (zenon_L558_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H112 zenon_Hda zenon_H75 zenon_H139 zenon_H137 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H22d zenon_H1 zenon_H21b zenon_H196 zenon_H195. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_L145_); trivial. % 0.98/1.17 apply (zenon_L201_); trivial. % 0.98/1.17 apply (zenon_L98_); trivial. % 0.98/1.17 (* end of lemma zenon_L558_ *) % 0.98/1.17 assert (zenon_L559_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> (~(c3_1 (a923))) -> (forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H76 zenon_H223 zenon_H224 zenon_H222 zenon_H287 zenon_H57 zenon_H4e zenon_H4d zenon_H4c zenon_H12 zenon_H62. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 0.98/1.17 apply (zenon_L308_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 0.98/1.17 apply (zenon_L24_); trivial. % 0.98/1.17 exact (zenon_H62 zenon_H63). % 0.98/1.17 (* end of lemma zenon_L559_ *) % 0.98/1.17 assert (zenon_L560_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> (~(c3_1 (a923))) -> (forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H209 zenon_Hb0 zenon_H265 zenon_H266 zenon_H264 zenon_H78 zenon_H76 zenon_H223 zenon_H224 zenon_H222 zenon_H287 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H62. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 0.98/1.17 apply (zenon_L314_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 0.98/1.17 apply (zenon_L376_); trivial. % 0.98/1.17 apply (zenon_L559_); trivial. % 0.98/1.17 (* end of lemma zenon_L560_ *) % 0.98/1.17 assert (zenon_L561_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (~(c3_1 (a923))) -> (c2_1 (a923)) -> (c1_1 (a923)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp29)) -> False). % 0.98/1.17 do 0 intro. intros zenon_H14c zenon_H128 zenon_H127 zenon_H126 zenon_H62 zenon_H12 zenon_H4d zenon_H4e zenon_H57 zenon_H287 zenon_H222 zenon_H224 zenon_H223 zenon_H76 zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_H1b5 zenon_Ha7 zenon_H89 zenon_H8b zenon_H87 zenon_H16b zenon_H5c. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 0.98/1.17 apply (zenon_L80_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 0.98/1.17 apply (zenon_L306_); trivial. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 0.98/1.17 apply (zenon_L559_); trivial. % 0.98/1.17 apply (zenon_L560_); trivial. % 0.98/1.17 exact (zenon_H5c zenon_H5d). % 0.98/1.17 (* end of lemma zenon_L561_ *) % 0.98/1.17 assert (zenon_L562_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H16b zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.17 apply (zenon_L166_); trivial. % 0.98/1.17 apply (zenon_L239_); trivial. % 0.98/1.17 (* end of lemma zenon_L562_ *) % 0.98/1.17 assert (zenon_L563_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hbe zenon_H139 zenon_H137 zenon_H91 zenon_H128 zenon_H127 zenon_H126 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H1b6 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H16b zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_Ha0 zenon_H1d0 zenon_H134. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 0.98/1.17 apply (zenon_L356_); trivial. % 0.98/1.17 apply (zenon_L239_); trivial. % 0.98/1.17 apply (zenon_L88_); trivial. % 0.98/1.17 (* end of lemma zenon_L563_ *) % 0.98/1.17 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 0.98/1.17 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H219 zenon_H285 zenon_H20b zenon_H20d zenon_Hc4 zenon_H209 zenon_H1ce zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H16b zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H126 zenon_H127 zenon_H128 zenon_H91 zenon_H137 zenon_H139 zenon_Hbe zenon_H21b zenon_H196. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.98/1.17 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 0.98/1.17 apply (zenon_L562_); trivial. % 0.98/1.17 apply (zenon_L88_); trivial. % 0.98/1.17 apply (zenon_L240_); trivial. % 0.98/1.17 apply (zenon_L191_); trivial. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.98/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.98/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 0.98/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 0.98/1.17 apply (zenon_L563_); trivial. % 0.98/1.17 apply (zenon_L241_); trivial. % 0.98/1.17 apply (zenon_L187_); trivial. % 0.98/1.17 (* end of lemma zenon_L564_ *) % 0.98/1.17 assert (zenon_L565_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H195 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_Ha7 zenon_H265 zenon_H266 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H71 zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H91 zenon_H137 zenon_H139 zenon_Hbe zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H134. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.18 apply (zenon_L225_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L139_); trivial. % 1.02/1.18 apply (zenon_L333_); trivial. % 1.02/1.18 (* end of lemma zenon_L565_ *) % 1.02/1.18 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H2ee zenon_Hd zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H75 zenon_H139 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H14c zenon_Hda. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.18 apply (zenon_L386_); trivial. % 1.02/1.18 apply (zenon_L551_); trivial. % 1.02/1.18 (* end of lemma zenon_L566_ *) % 1.02/1.18 assert (zenon_L567_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a953))) -> (c3_1 (a953)) -> (c1_1 (a953)) -> (~(c1_1 (a906))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp15)) -> (~(hskp5)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H1d1 zenon_Hb zenon_H12 zenon_H11a zenon_H11c zenon_H11b zenon_H1be zenon_H15 zenon_H1c0 zenon_H1bf zenon_H2a8 zenon_H5e zenon_H27. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_Heb | zenon_intro zenon_H1d3 ]. % 1.02/1.18 apply (zenon_L328_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H5f | zenon_intro zenon_H28 ]. % 1.02/1.18 exact (zenon_H5e zenon_H5f). % 1.02/1.18 exact (zenon_H27 zenon_H28). % 1.02/1.18 (* end of lemma zenon_L567_ *) % 1.02/1.18 assert (zenon_L568_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2f0 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H12 zenon_H178 zenon_Hb zenon_H20b. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H15 | zenon_intro zenon_H2f1 ]. % 1.02/1.18 apply (zenon_L327_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_Hc | zenon_intro zenon_H20c ]. % 1.02/1.18 exact (zenon_Hb zenon_Hc). % 1.02/1.18 exact (zenon_H20b zenon_H20c). % 1.02/1.18 (* end of lemma zenon_L568_ *) % 1.02/1.18 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp5)) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp3)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H131 zenon_H21b zenon_H27 zenon_H5e zenon_H2a8 zenon_H1d1 zenon_H20b zenon_Hb zenon_H1be zenon_H1c0 zenon_H1bf zenon_H2f0 zenon_H1. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.18 apply (zenon_L567_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.18 apply (zenon_L568_); trivial. % 1.02/1.18 exact (zenon_H1 zenon_H2). % 1.02/1.18 (* end of lemma zenon_L569_ *) % 1.02/1.18 assert (zenon_L570_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp15)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H134 zenon_H21b zenon_H1 zenon_H20b zenon_H2f0 zenon_H2a8 zenon_Hb zenon_H5e zenon_H27 zenon_H1d1 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.18 apply (zenon_L143_); trivial. % 1.02/1.18 apply (zenon_L569_); trivial. % 1.02/1.18 (* end of lemma zenon_L570_ *) % 1.02/1.18 assert (zenon_L571_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp13)) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H148 zenon_Ha7 zenon_H89 zenon_H79 zenon_H7a zenon_H7b zenon_H8b zenon_H87. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 1.02/1.18 apply (zenon_L36_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 1.02/1.18 apply (zenon_L92_); trivial. % 1.02/1.18 exact (zenon_H87 zenon_H88). % 1.02/1.18 (* end of lemma zenon_L571_ *) % 1.02/1.18 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H93 zenon_H75 zenon_H14b zenon_Ha7 zenon_H87 zenon_H89 zenon_H8b zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L339_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.18 apply (zenon_L159_); trivial. % 1.02/1.18 apply (zenon_L571_); trivial. % 1.02/1.18 (* end of lemma zenon_L572_ *) % 1.02/1.18 assert (zenon_L573_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hbe zenon_H75 zenon_H14b zenon_Ha7 zenon_H87 zenon_H89 zenon_H8b zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L135_); trivial. % 1.02/1.18 apply (zenon_L572_); trivial. % 1.02/1.18 (* end of lemma zenon_L573_ *) % 1.02/1.18 assert (zenon_L574_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp23)) -> (c2_1 (a957)) -> (c3_1 (a957)) -> (~(c1_1 (a906))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H31 zenon_H140 zenon_H141 zenon_H1be zenon_H15 zenon_H1c0 zenon_H1bf zenon_H219 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.18 apply (zenon_L40_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 1.02/1.18 apply (zenon_L327_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 1.02/1.18 apply (zenon_L494_); trivial. % 1.02/1.18 exact (zenon_H31 zenon_H32). % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 (* end of lemma zenon_L574_ *) % 1.02/1.18 assert (zenon_L575_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H178 zenon_H12 zenon_H1be zenon_H197 zenon_H1bf zenon_H1c0. % 1.02/1.18 generalize (zenon_H178 (a906)). zenon_intro zenon_H2a0. % 1.02/1.18 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a1 ]. % 1.02/1.18 exact (zenon_H11 zenon_H12). % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H2a2 ]. % 1.02/1.18 exact (zenon_H1be zenon_H1c4). % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H1c6 ]. % 1.02/1.18 generalize (zenon_H197 (a906)). zenon_intro zenon_H2b7. % 1.02/1.18 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b8 ]. % 1.02/1.18 exact (zenon_H11 zenon_H12). % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H1c3 ]. % 1.02/1.18 exact (zenon_H2a3 zenon_H2a7). % 1.02/1.18 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 1.02/1.18 exact (zenon_H1c6 zenon_H1bf). % 1.02/1.18 exact (zenon_H1c5 zenon_H1c0). % 1.02/1.18 exact (zenon_H1c6 zenon_H1bf). % 1.02/1.18 (* end of lemma zenon_L575_ *) % 1.02/1.18 assert (zenon_L576_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H178 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.18 apply (zenon_L40_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.18 apply (zenon_L575_); trivial. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 (* end of lemma zenon_L576_ *) % 1.02/1.18 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp3)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H148 zenon_H21b zenon_H219 zenon_H31 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1be zenon_H1bf zenon_H1c0 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H1. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.18 apply (zenon_L574_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.18 apply (zenon_L576_); trivial. % 1.02/1.18 exact (zenon_H1 zenon_H2). % 1.02/1.18 (* end of lemma zenon_L577_ *) % 1.02/1.18 assert (zenon_L578_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H14b zenon_H21b zenon_H1 zenon_H97 zenon_H98 zenon_H99 zenon_H219 zenon_H31 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H5c zenon_H9 zenon_H13d. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.18 apply (zenon_L91_); trivial. % 1.02/1.18 apply (zenon_L577_); trivial. % 1.02/1.18 (* end of lemma zenon_L578_ *) % 1.02/1.18 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp23)) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H70 zenon_H14b zenon_H21b zenon_H1 zenon_H97 zenon_H98 zenon_H99 zenon_H219 zenon_H31 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H137 zenon_H139. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.18 apply (zenon_L159_); trivial. % 1.02/1.18 apply (zenon_L577_); trivial. % 1.02/1.18 (* end of lemma zenon_L579_ *) % 1.02/1.18 assert (zenon_L580_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H1ce zenon_H150 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_L348_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L580_ *) % 1.02/1.18 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H14c zenon_H1ed zenon_H75 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H23 zenon_Hb zenon_H10c zenon_H111. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.18 apply (zenon_L580_); trivial. % 1.02/1.18 apply (zenon_L492_); trivial. % 1.02/1.18 (* end of lemma zenon_L581_ *) % 1.02/1.18 assert (zenon_L582_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H112 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_Hdf zenon_Hdb zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H75 zenon_H27e zenon_H13d zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H27c zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_L516_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L582_ *) % 1.02/1.18 assert (zenon_L583_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hbf zenon_H2c zenon_H29 zenon_H27 zenon_H14b zenon_H28f zenon_H62 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H13d zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H75. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_L450_); trivial. % 1.02/1.18 apply (zenon_L433_); trivial. % 1.02/1.18 (* end of lemma zenon_L583_ *) % 1.02/1.18 assert (zenon_L584_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H192 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H75 zenon_H1e3 zenon_H13d zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_L583_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L584_ *) % 1.02/1.18 assert (zenon_L585_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H75 zenon_H1e3 zenon_H13d zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H152 zenon_H1ed zenon_H16a zenon_H23 zenon_H10c zenon_H111. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.18 apply (zenon_L299_); trivial. % 1.02/1.18 apply (zenon_L584_); trivial. % 1.02/1.18 (* end of lemma zenon_L585_ *) % 1.02/1.18 assert (zenon_L586_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hbe zenon_H2f2 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H8b zenon_H89 zenon_H87 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H37 zenon_H35 zenon_H91 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H71 zenon_Hc0. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L53_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L54_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L586_ *) % 1.02/1.18 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hd6 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H87 zenon_H89 zenon_H8b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2 zenon_Hbe. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L586_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 (* end of lemma zenon_L587_ *) % 1.02/1.18 assert (zenon_L588_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2b zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H5e zenon_H2f4 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H44 | zenon_intro zenon_H2f5 ]. % 1.02/1.18 apply (zenon_L22_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H287 | zenon_intro zenon_H5f ]. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 exact (zenon_H5e zenon_H5f). % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L588_ *) % 1.02/1.18 assert (zenon_L589_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc0 zenon_Hbf zenon_H2f2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H5e zenon_H2f4 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H14b zenon_Ha7 zenon_H87 zenon_H13d zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_H75 zenon_H31 zenon_H35 zenon_H37. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.18 apply (zenon_L20_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_L96_); trivial. % 1.02/1.18 apply (zenon_L588_); trivial. % 1.02/1.18 (* end of lemma zenon_L589_ *) % 1.02/1.18 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp12)) -> (~(hskp6)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H93 zenon_H123 zenon_H35 zenon_H91 zenon_H21 zenon_H29. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H78 | zenon_intro zenon_H124 ]. % 1.02/1.18 apply (zenon_L350_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H22 | zenon_intro zenon_H2a ]. % 1.02/1.18 exact (zenon_H21 zenon_H22). % 1.02/1.18 exact (zenon_H29 zenon_H2a). % 1.02/1.18 (* end of lemma zenon_L590_ *) % 1.02/1.18 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp22)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp4)) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc1 zenon_H213 zenon_H35 zenon_Hed zenon_Hee zenon_H91 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Ha0. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Heb | zenon_intro zenon_H214 ]. % 1.02/1.18 apply (zenon_L65_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Ha1 ]. % 1.02/1.18 apply (zenon_L45_); trivial. % 1.02/1.18 exact (zenon_Ha0 zenon_Ha1). % 1.02/1.18 (* end of lemma zenon_L591_ *) % 1.02/1.18 assert (zenon_L592_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc0 zenon_H213 zenon_Ha0 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hed zenon_Hee zenon_H91 zenon_H31 zenon_H35 zenon_H37. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.18 apply (zenon_L20_); trivial. % 1.02/1.18 apply (zenon_L591_); trivial. % 1.02/1.18 (* end of lemma zenon_L592_ *) % 1.02/1.18 assert (zenon_L593_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc5 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Hc0 zenon_H213 zenon_Ha0 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L592_); trivial. % 1.02/1.18 apply (zenon_L88_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 (* end of lemma zenon_L593_ *) % 1.02/1.18 assert (zenon_L594_ : ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hbf zenon_H2f2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H14b zenon_H60 zenon_H5e zenon_H4d zenon_H4e zenon_H57 zenon_H87 zenon_Ha7 zenon_H13d zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_H75. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_L270_); trivial. % 1.02/1.18 apply (zenon_L588_); trivial. % 1.02/1.18 (* end of lemma zenon_L594_ *) % 1.02/1.18 assert (zenon_L595_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H116 zenon_H14c zenon_H60 zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_Hbf zenon_H2f2 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H14b zenon_Ha7 zenon_H87 zenon_H13d zenon_H137 zenon_H139 zenon_H75 zenon_H37 zenon_H91 zenon_H29 zenon_H123 zenon_Hbe zenon_H213 zenon_Hda zenon_H115. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.18 apply (zenon_L81_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L589_); trivial. % 1.02/1.18 apply (zenon_L590_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 apply (zenon_L593_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.18 apply (zenon_L594_); trivial. % 1.02/1.18 apply (zenon_L98_); trivial. % 1.02/1.18 (* end of lemma zenon_L595_ *) % 1.02/1.18 assert (zenon_L596_ : ((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2f6 zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L133_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L596_ *) % 1.02/1.18 assert (zenon_L597_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (c3_1 (a918)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hc9 zenon_Hf8 zenon_Hc8 zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L236_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L597_ *) % 1.02/1.18 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp22)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H70 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H35 zenon_Hed zenon_Hee zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_Hdb zenon_H27c zenon_Hdd zenon_H91 zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hc9 zenon_Hc8 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.18 apply (zenon_L62_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.18 apply (zenon_L293_); trivial. % 1.02/1.18 apply (zenon_L597_); trivial. % 1.02/1.18 (* end of lemma zenon_L598_ *) % 1.02/1.18 assert (zenon_L599_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H1ed zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hdf zenon_Hdb zenon_H75 zenon_Hfd zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2 zenon_H27e zenon_Hed zenon_Hee zenon_H27c zenon_H91 zenon_H13d zenon_Ha7 zenon_H87 zenon_H57 zenon_H4e zenon_H4d zenon_H60 zenon_H14b zenon_H2f4 zenon_Hbf zenon_H102 zenon_H23 zenon_H10c zenon_H111. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.18 apply (zenon_L61_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L210_); trivial. % 1.02/1.18 apply (zenon_L598_); trivial. % 1.02/1.18 apply (zenon_L588_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 apply (zenon_L470_); trivial. % 1.02/1.18 (* end of lemma zenon_L599_ *) % 1.02/1.18 assert (zenon_L600_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L53_); trivial. % 1.02/1.18 apply (zenon_L590_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 (* end of lemma zenon_L600_ *) % 1.02/1.18 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hd6 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.18 apply (zenon_L600_); trivial. % 1.02/1.18 (* end of lemma zenon_L601_ *) % 1.02/1.18 assert (zenon_L602_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H91 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H1e5 zenon_H12 zenon_H35. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 1.02/1.18 apply (zenon_L404_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 1.02/1.18 apply (zenon_L184_); trivial. % 1.02/1.18 exact (zenon_H35 zenon_H36). % 1.02/1.18 (* end of lemma zenon_L602_ *) % 1.02/1.18 assert (zenon_L603_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp18)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H166 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H91 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H12 zenon_H35. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.18 apply (zenon_L129_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.18 apply (zenon_L234_); trivial. % 1.02/1.18 apply (zenon_L602_); trivial. % 1.02/1.18 (* end of lemma zenon_L603_ *) % 1.02/1.18 assert (zenon_L604_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H2e0. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L603_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 (* end of lemma zenon_L604_ *) % 1.02/1.18 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(hskp22)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H93 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H4d zenon_H4e zenon_H57 zenon_H91 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H35. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.18 apply (zenon_L129_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.18 apply (zenon_L289_); trivial. % 1.02/1.18 apply (zenon_L602_); trivial. % 1.02/1.18 (* end of lemma zenon_L605_ *) % 1.02/1.18 assert (zenon_L606_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a918))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hbe zenon_H2e0 zenon_Hc8 zenon_H4d zenon_H4e zenon_H57 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H37 zenon_H35 zenon_H219 zenon_Hc9 zenon_Hca zenon_H17b zenon_H17a zenon_H179 zenon_H91 zenon_Hc0. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_L409_); trivial. % 1.02/1.18 apply (zenon_L605_); trivial. % 1.02/1.18 (* end of lemma zenon_L606_ *) % 1.02/1.18 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(c1_1 (a918))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H57 zenon_H4e zenon_H4d zenon_Hc8 zenon_H2e0 zenon_Hbe. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L606_); trivial. % 1.02/1.18 apply (zenon_L43_); trivial. % 1.02/1.18 (* end of lemma zenon_L607_ *) % 1.02/1.18 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H2e0 zenon_H91 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.18 apply (zenon_L604_); trivial. % 1.02/1.18 apply (zenon_L607_); trivial. % 1.02/1.18 (* end of lemma zenon_L608_ *) % 1.02/1.18 assert (zenon_L609_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H2e0 zenon_H91 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.18 apply (zenon_L466_); trivial. % 1.02/1.18 apply (zenon_L608_); trivial. % 1.02/1.18 (* end of lemma zenon_L609_ *) % 1.02/1.18 assert (zenon_L610_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H1cb zenon_H116 zenon_H196 zenon_H219 zenon_H2e0 zenon_H168 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_Hbe zenon_H123 zenon_H29 zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hd9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.18 apply (zenon_L466_); trivial. % 1.02/1.18 apply (zenon_L601_); trivial. % 1.02/1.18 apply (zenon_L609_); trivial. % 1.02/1.18 (* end of lemma zenon_L610_ *) % 1.02/1.18 assert (zenon_L611_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (~(hskp24)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H102 zenon_Hfd zenon_Hc8 zenon_Hc9 zenon_H3 zenon_H150 zenon_H1ce zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.18 apply (zenon_L61_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.18 apply (zenon_L62_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L162_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 apply (zenon_L237_); trivial. % 1.02/1.18 (* end of lemma zenon_L611_ *) % 1.02/1.18 assert (zenon_L612_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp18)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H166 zenon_H188 zenon_H189 zenon_H18a zenon_Hc8 zenon_Hc9 zenon_H22d zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L263_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L612_ *) % 1.02/1.18 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H195 zenon_H22d zenon_H111 zenon_H102 zenon_Hfd zenon_H1ce zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H2f2 zenon_Hdb zenon_Hdf zenon_H16b zenon_H168 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H219 zenon_Hbe zenon_H196 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.18 apply (zenon_L466_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.18 apply (zenon_L611_); trivial. % 1.02/1.18 apply (zenon_L239_); trivial. % 1.02/1.18 apply (zenon_L181_); trivial. % 1.02/1.18 apply (zenon_L187_); trivial. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.18 apply (zenon_L612_); trivial. % 1.02/1.18 apply (zenon_L187_); trivial. % 1.02/1.18 (* end of lemma zenon_L613_ *) % 1.02/1.18 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp9)) -> (~(c0_1 (a978))) -> (c2_1 (a978)) -> (c3_1 (a978)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H70 zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hd zenon_H14 zenon_H2f zenon_H16 zenon_H6e zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.18 apply (zenon_L550_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.18 apply (zenon_L30_); trivial. % 1.02/1.18 apply (zenon_L426_); trivial. % 1.02/1.18 (* end of lemma zenon_L614_ *) % 1.02/1.18 assert (zenon_L615_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2b zenon_H75 zenon_H2f2 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_Hd zenon_H6e zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L339_); trivial. % 1.02/1.18 apply (zenon_L614_); trivial. % 1.02/1.18 (* end of lemma zenon_L615_ *) % 1.02/1.18 assert (zenon_L616_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Ha4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H75 zenon_H27e zenon_Hdd zenon_H13d zenon_H219 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_Hd zenon_H2d7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_H60 zenon_H5e zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H6e zenon_H2f2 zenon_Hbf. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L528_); trivial. % 1.02/1.18 apply (zenon_L502_); trivial. % 1.02/1.18 apply (zenon_L615_); trivial. % 1.02/1.18 apply (zenon_L47_); trivial. % 1.02/1.18 (* end of lemma zenon_L616_ *) % 1.02/1.18 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Hbc zenon_H27 zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H71 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H91 zenon_H37 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H87 zenon_H89 zenon_H8b zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2 zenon_Hbe. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L586_); trivial. % 1.02/1.18 apply (zenon_L499_); trivial. % 1.02/1.18 (* end of lemma zenon_L617_ *) % 1.02/1.18 assert (zenon_L618_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc4 zenon_Hbe zenon_Hbc zenon_H27 zenon_H87 zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_H1ed zenon_Hdd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L406_); trivial. % 1.02/1.18 apply (zenon_L499_); trivial. % 1.02/1.18 (* end of lemma zenon_L618_ *) % 1.02/1.18 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H184 zenon_H111 zenon_H10c zenon_H23 zenon_H91 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H219 zenon_H13d zenon_Hb zenon_H2a8 zenon_H75 zenon_H87 zenon_H27 zenon_Hbc zenon_Hbe zenon_Hc4. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_L618_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L619_ *) % 1.02/1.18 assert (zenon_L620_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H66 zenon_H67 zenon_H65 zenon_H1e5 zenon_H12 zenon_Hdd. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.02/1.18 apply (zenon_L290_); trivial. % 1.02/1.18 exact (zenon_Hdd zenon_Hde). % 1.02/1.18 (* end of lemma zenon_L620_ *) % 1.02/1.18 assert (zenon_L621_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp21)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H70 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hdd. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.18 apply (zenon_L129_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 apply (zenon_L620_); trivial. % 1.02/1.18 (* end of lemma zenon_L621_ *) % 1.02/1.18 assert (zenon_L622_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H75 zenon_H2e0 zenon_Hdd zenon_H27e zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L339_); trivial. % 1.02/1.18 apply (zenon_L621_); trivial. % 1.02/1.18 (* end of lemma zenon_L622_ *) % 1.02/1.18 assert (zenon_L623_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_L622_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L623_ *) % 1.02/1.18 assert (zenon_L624_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H75 zenon_H2e0 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H9 zenon_H1ed zenon_Hdd zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L448_); trivial. % 1.02/1.18 apply (zenon_L621_); trivial. % 1.02/1.18 (* end of lemma zenon_L624_ *) % 1.02/1.18 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc5 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H75 zenon_H2e0 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H1ed zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_L624_); trivial. % 1.02/1.18 apply (zenon_L433_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L625_ *) % 1.02/1.18 assert (zenon_L626_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hda zenon_H13d zenon_H1ed zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf zenon_H75 zenon_H2e0 zenon_H27e zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H23 zenon_Hb zenon_H10c zenon_H111. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.18 apply (zenon_L623_); trivial. % 1.02/1.18 apply (zenon_L625_); trivial. % 1.02/1.18 (* end of lemma zenon_L626_ *) % 1.02/1.18 assert (zenon_L627_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H141 zenon_H140 zenon_H1e5 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.18 apply (zenon_L40_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.18 apply (zenon_L494_); trivial. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 (* end of lemma zenon_L627_ *) % 1.02/1.18 assert (zenon_L628_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H148 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H2aa zenon_H2ab zenon_H2ac. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.18 apply (zenon_L129_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 apply (zenon_L627_); trivial. % 1.02/1.18 (* end of lemma zenon_L628_ *) % 1.02/1.18 assert (zenon_L629_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H14b zenon_H2e0 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H5c zenon_H9 zenon_H13d. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.18 apply (zenon_L91_); trivial. % 1.02/1.18 apply (zenon_L628_); trivial. % 1.02/1.18 (* end of lemma zenon_L629_ *) % 1.02/1.18 assert (zenon_L630_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Ha4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_Hdd zenon_H75. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L629_); trivial. % 1.02/1.18 apply (zenon_L621_); trivial. % 1.02/1.18 apply (zenon_L340_); trivial. % 1.02/1.18 (* end of lemma zenon_L630_ *) % 1.02/1.18 assert (zenon_L631_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_H91 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H75 zenon_H27e zenon_H13d zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H2e0 zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L406_); trivial. % 1.02/1.18 apply (zenon_L630_); trivial. % 1.02/1.18 apply (zenon_L181_); trivial. % 1.02/1.18 (* end of lemma zenon_L631_ *) % 1.02/1.18 assert (zenon_L632_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H2a8 zenon_H17b zenon_H17a zenon_H179 zenon_H66 zenon_H67 zenon_H65 zenon_H1e5 zenon_H12 zenon_Hb. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.02/1.18 apply (zenon_L117_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.02/1.18 apply (zenon_L290_); trivial. % 1.02/1.18 exact (zenon_Hb zenon_Hc). % 1.02/1.18 (* end of lemma zenon_L632_ *) % 1.02/1.18 assert (zenon_L633_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(hskp7)) -> False). % 1.02/1.18 do 0 intro. intros zenon_H70 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2a8 zenon_H17b zenon_H17a zenon_H179 zenon_Hb. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.18 apply (zenon_L129_); trivial. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.18 apply (zenon_L338_); trivial. % 1.02/1.18 apply (zenon_L632_); trivial. % 1.02/1.18 (* end of lemma zenon_L633_ *) % 1.02/1.18 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Ha4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H2a8 zenon_Hb zenon_H17b zenon_H17a zenon_H179 zenon_H75. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.18 apply (zenon_L629_); trivial. % 1.02/1.18 apply (zenon_L633_); trivial. % 1.02/1.18 apply (zenon_L340_); trivial. % 1.02/1.18 (* end of lemma zenon_L634_ *) % 1.02/1.18 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_H184 zenon_H111 zenon_H10c zenon_H23 zenon_H91 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H75 zenon_Hb zenon_H2a8 zenon_H13d zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H2e0 zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.18 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.18 apply (zenon_L406_); trivial. % 1.02/1.18 apply (zenon_L634_); trivial. % 1.02/1.18 apply (zenon_L73_); trivial. % 1.02/1.18 (* end of lemma zenon_L635_ *) % 1.02/1.18 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.18 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_H10c zenon_H23 zenon_Hb zenon_H2a8 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H168 zenon_H111. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_L631_); trivial. % 1.02/1.19 apply (zenon_L635_); trivial. % 1.02/1.19 (* end of lemma zenon_L636_ *) % 1.02/1.19 assert (zenon_L637_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H196 zenon_H2a8 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H1ed zenon_H91 zenon_H168 zenon_H75 zenon_H2e0 zenon_H27e zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H23 zenon_Hb zenon_H10c zenon_H111. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.19 apply (zenon_L623_); trivial. % 1.02/1.19 apply (zenon_L636_); trivial. % 1.02/1.19 (* end of lemma zenon_L637_ *) % 1.02/1.19 assert (zenon_L638_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hbe zenon_H123 zenon_H29 zenon_H21 zenon_H191 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H37 zenon_H35 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_L122_); trivial. % 1.02/1.19 apply (zenon_L590_); trivial. % 1.02/1.19 (* end of lemma zenon_L638_ *) % 1.02/1.19 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H192 zenon_H196 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H2a8 zenon_Hb zenon_H75 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_L200_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L638_); trivial. % 1.02/1.19 apply (zenon_L634_); trivial. % 1.02/1.19 (* end of lemma zenon_L639_ *) % 1.02/1.19 assert (zenon_L640_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H112 zenon_H195 zenon_H196 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H2a8 zenon_Hb zenon_H75 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H191 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe zenon_H22d zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.19 apply (zenon_L439_); trivial. % 1.02/1.19 apply (zenon_L639_); trivial. % 1.02/1.19 (* end of lemma zenon_L640_ *) % 1.02/1.19 assert (zenon_L641_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H66 zenon_H67 zenon_H65 zenon_H1e5 zenon_H12 zenon_H13b. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H187 | zenon_intro zenon_H1e4 ]. % 1.02/1.19 apply (zenon_L120_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H13c ]. % 1.02/1.19 apply (zenon_L290_); trivial. % 1.02/1.19 exact (zenon_H13b zenon_H13c). % 1.02/1.19 (* end of lemma zenon_L641_ *) % 1.02/1.19 assert (zenon_L642_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp14)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H62 zenon_H103 zenon_H104 zenon_H105 zenon_H204 zenon_H1fc zenon_H1fd zenon_H76 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H13b. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.19 apply (zenon_L129_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.19 apply (zenon_L173_); trivial. % 1.02/1.19 apply (zenon_L641_); trivial. % 1.02/1.19 (* end of lemma zenon_L642_ *) % 1.02/1.19 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H70 zenon_H14b zenon_Ha7 zenon_H87 zenon_H3c zenon_H3b zenon_H3a zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H105 zenon_H104 zenon_H103 zenon_H1fd zenon_H1fc zenon_H204 zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H2e0. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.19 apply (zenon_L642_); trivial. % 1.02/1.19 apply (zenon_L93_); trivial. % 1.02/1.19 (* end of lemma zenon_L643_ *) % 1.02/1.19 assert (zenon_L644_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H37 zenon_H35 zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2e0 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H204 zenon_H1fc zenon_H1fd zenon_H103 zenon_H104 zenon_H105 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H87 zenon_Ha7 zenon_H14b zenon_H75 zenon_Hc0. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.19 apply (zenon_L20_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L339_); trivial. % 1.02/1.19 apply (zenon_L643_); trivial. % 1.02/1.19 apply (zenon_L47_); trivial. % 1.02/1.19 (* end of lemma zenon_L644_ *) % 1.02/1.19 assert (zenon_L645_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c1_1 (a957)) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H28f zenon_H13f zenon_H141 zenon_H140 zenon_H1e5 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H62. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 1.02/1.19 apply (zenon_L157_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 1.02/1.19 apply (zenon_L426_); trivial. % 1.02/1.19 exact (zenon_H62 zenon_H63). % 1.02/1.19 (* end of lemma zenon_L645_ *) % 1.02/1.19 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(hskp14)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H148 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H62. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.19 apply (zenon_L129_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.19 apply (zenon_L338_); trivial. % 1.02/1.19 apply (zenon_L645_); trivial. % 1.02/1.19 (* end of lemma zenon_L646_ *) % 1.02/1.19 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Ha4 zenon_Hbf zenon_H2c zenon_H29 zenon_H27 zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H204 zenon_H1fc zenon_H1fd zenon_H103 zenon_H104 zenon_H105 zenon_H62 zenon_H76 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H75. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L629_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.19 apply (zenon_L642_); trivial. % 1.02/1.19 apply (zenon_L646_); trivial. % 1.02/1.19 apply (zenon_L433_); trivial. % 1.02/1.19 (* end of lemma zenon_L647_ *) % 1.02/1.19 assert (zenon_L648_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H75 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H27e zenon_Hdd zenon_H18a zenon_H188 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L490_); trivial. % 1.02/1.19 apply (zenon_L621_); trivial. % 1.02/1.19 (* end of lemma zenon_L648_ *) % 1.02/1.19 assert (zenon_L649_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c0_1 (a937))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H37 zenon_H35 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H128 zenon_H127 zenon_H126 zenon_H2e0 zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H204 zenon_H1fc zenon_H1fd zenon_H103 zenon_H104 zenon_H105 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H87 zenon_Ha7 zenon_H14b zenon_H75 zenon_Hc0. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.19 apply (zenon_L20_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L97_); trivial. % 1.02/1.19 apply (zenon_L643_); trivial. % 1.02/1.19 apply (zenon_L47_); trivial. % 1.02/1.19 (* end of lemma zenon_L649_ *) % 1.02/1.19 assert (zenon_L650_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H111 zenon_H2e0 zenon_H91 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H75 zenon_H27e zenon_H13d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L603_); trivial. % 1.02/1.19 apply (zenon_L630_); trivial. % 1.02/1.19 apply (zenon_L181_); trivial. % 1.02/1.19 (* end of lemma zenon_L650_ *) % 1.02/1.19 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(c1_1 (a918))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H13d zenon_H2a8 zenon_Hb zenon_H75 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H57 zenon_H4e zenon_H4d zenon_Hc8 zenon_H2e0 zenon_Hbe. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L606_); trivial. % 1.02/1.19 apply (zenon_L634_); trivial. % 1.02/1.19 (* end of lemma zenon_L651_ *) % 1.02/1.19 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H2a8 zenon_Hb zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H13d zenon_H27e zenon_H75 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H91 zenon_H2e0 zenon_H111. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_L650_); trivial. % 1.02/1.19 apply (zenon_L651_); trivial. % 1.02/1.19 (* end of lemma zenon_L652_ *) % 1.02/1.19 assert (zenon_L653_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_H116 zenon_H219 zenon_Ha7 zenon_H87 zenon_H76 zenon_H1e3 zenon_Hbc zenon_H12f zenon_H20f zenon_H2db zenon_Hdb zenon_H2d9 zenon_H22d zenon_Hbe zenon_H123 zenon_H191 zenon_H37 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H195 zenon_H115 zenon_H139 zenon_H14c zenon_Hda zenon_H13d zenon_H1ed zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf zenon_H75 zenon_H2e0 zenon_H27e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_Hb zenon_H10c zenon_H111 zenon_H168 zenon_H91 zenon_H209 zenon_Hc4 zenon_H2a8 zenon_H196 zenon_Hd9. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_L626_); trivial. % 1.02/1.19 apply (zenon_L637_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.19 apply (zenon_L386_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.19 apply (zenon_L81_); trivial. % 1.02/1.19 apply (zenon_L640_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.19 apply (zenon_L439_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.02/1.19 apply (zenon_L436_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L622_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L644_); trivial. % 1.02/1.19 apply (zenon_L647_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.19 apply (zenon_L439_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.02/1.19 apply (zenon_L436_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L648_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L649_); trivial. % 1.02/1.19 apply (zenon_L647_); trivial. % 1.02/1.19 apply (zenon_L652_); trivial. % 1.02/1.19 (* end of lemma zenon_L653_ *) % 1.02/1.19 assert (zenon_L654_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H102 zenon_H75 zenon_Hfd zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hc8 zenon_Hc9 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2 zenon_H27e zenon_Hed zenon_Hee zenon_H27c zenon_H57 zenon_H4e zenon_H4d zenon_H35 zenon_H91 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.19 apply (zenon_L61_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L339_); trivial. % 1.02/1.19 apply (zenon_L598_); trivial. % 1.02/1.19 (* end of lemma zenon_L654_ *) % 1.02/1.19 assert (zenon_L655_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_H1a4 zenon_H16b zenon_H139 zenon_H14c zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_H111 zenon_H10c zenon_Hb zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H27e zenon_H2e0 zenon_H75 zenon_H168 zenon_H91 zenon_H1ed zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_H2a8 zenon_H196 zenon_Hda zenon_Hd9. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_L466_); trivial. % 1.02/1.19 apply (zenon_L637_); trivial. % 1.02/1.19 apply (zenon_L388_); trivial. % 1.02/1.19 (* end of lemma zenon_L655_ *) % 1.02/1.19 assert (zenon_L656_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_Hdf zenon_Hdd zenon_Hdb zenon_H2f2 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H1ce zenon_H150 zenon_Hc9 zenon_Hc8 zenon_Hfd zenon_H102. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.19 apply (zenon_L611_); trivial. % 1.02/1.19 apply (zenon_L347_); trivial. % 1.02/1.19 (* end of lemma zenon_L656_ *) % 1.02/1.19 assert (zenon_L657_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (c0_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H196 zenon_Hc4 zenon_H265 zenon_H264 zenon_H266 zenon_H209 zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_H71 zenon_H182 zenon_Hbe zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_Hdf zenon_Hdb zenon_H2f2 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H1ce zenon_H150 zenon_Hc9 zenon_Hc8 zenon_Hfd zenon_H102 zenon_Hca zenon_H168 zenon_H111. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L656_); trivial. % 1.02/1.19 apply (zenon_L181_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L656_); trivial. % 1.02/1.19 apply (zenon_L547_); trivial. % 1.02/1.19 (* end of lemma zenon_L657_ *) % 1.02/1.19 assert (zenon_L658_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (c3_1 (a918)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H71 zenon_H3c zenon_H3b zenon_H3a zenon_Hc9 zenon_Hf8 zenon_Hc8 zenon_H12 zenon_H35. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 1.02/1.19 apply (zenon_L21_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 1.02/1.19 apply (zenon_L236_); trivial. % 1.02/1.19 exact (zenon_H35 zenon_H36). % 1.02/1.19 (* end of lemma zenon_L658_ *) % 1.02/1.19 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(hskp22)) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hc1 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H18a zenon_H189 zenon_H188 zenon_H264 zenon_H266 zenon_H285 zenon_H71 zenon_Hc9 zenon_Hc8 zenon_H35. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.19 apply (zenon_L62_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H197 | zenon_intro zenon_H286 ]. % 1.02/1.19 apply (zenon_L300_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H187 ]. % 1.02/1.19 apply (zenon_L658_); trivial. % 1.02/1.19 apply (zenon_L120_); trivial. % 1.02/1.19 apply (zenon_L658_); trivial. % 1.02/1.19 (* end of lemma zenon_L659_ *) % 1.02/1.19 assert (zenon_L660_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H102 zenon_Hc0 zenon_Hfd zenon_H264 zenon_H266 zenon_H71 zenon_Hc9 zenon_Hc8 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H31 zenon_H35 zenon_H37 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.19 apply (zenon_L61_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.19 apply (zenon_L20_); trivial. % 1.02/1.19 apply (zenon_L659_); trivial. % 1.02/1.19 (* end of lemma zenon_L660_ *) % 1.02/1.19 assert (zenon_L661_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H264 zenon_H266 zenon_H71 zenon_Hc9 zenon_Hc8 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H37 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H87 zenon_H89 zenon_H8b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_Hbe. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_L660_); trivial. % 1.02/1.19 apply (zenon_L351_); trivial. % 1.02/1.19 apply (zenon_L359_); trivial. % 1.02/1.19 (* end of lemma zenon_L661_ *) % 1.02/1.19 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (c1_1 (a905)) -> (c0_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H184 zenon_H111 zenon_H265 zenon_Hca zenon_H219 zenon_H182 zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H8b zenon_H89 zenon_H87 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hdf zenon_Hdb zenon_H37 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_Hc8 zenon_Hc9 zenon_H71 zenon_H266 zenon_H264 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H209 zenon_H20b zenon_H20d zenon_Hc4. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L661_); trivial. % 1.02/1.19 apply (zenon_L547_); trivial. % 1.02/1.19 (* end of lemma zenon_L662_ *) % 1.02/1.19 assert (zenon_L663_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (c1_1 (a905)) -> (c0_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a901))) -> (~(c2_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (c3_1 (a918)) -> (~(c1_1 (a918))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H192 zenon_H196 zenon_H111 zenon_H265 zenon_Hca zenon_H219 zenon_H182 zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H8b zenon_H89 zenon_H87 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hdf zenon_Hdb zenon_H37 zenon_H285 zenon_H71 zenon_H266 zenon_H264 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H209 zenon_H20b zenon_H20d zenon_Hc4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H22d zenon_Hc9 zenon_Hc8 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f2. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_L612_); trivial. % 1.02/1.19 apply (zenon_L662_); trivial. % 1.02/1.19 (* end of lemma zenon_L663_ *) % 1.02/1.19 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp22)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H93 zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_H35. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.19 apply (zenon_L276_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.19 apply (zenon_L338_); trivial. % 1.02/1.19 apply (zenon_L350_); trivial. % 1.02/1.19 (* end of lemma zenon_L664_ *) % 1.02/1.19 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.02/1.19 do 0 intro. intros zenon_Ha4 zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H16b zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.02/1.19 apply (zenon_L550_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.19 apply (zenon_L162_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.19 apply (zenon_L338_); trivial. % 1.02/1.19 apply (zenon_L377_); trivial. % 1.02/1.19 apply (zenon_L426_); trivial. % 1.02/1.19 (* end of lemma zenon_L665_ *) % 1.02/1.19 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_H2f2 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H258 zenon_H259 zenon_H25a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_Hbe. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_L409_); trivial. % 1.02/1.19 apply (zenon_L664_); trivial. % 1.02/1.19 apply (zenon_L665_); trivial. % 1.02/1.19 (* end of lemma zenon_L666_ *) % 1.02/1.19 assert (zenon_L667_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa zenon_H91 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H12 zenon_H35. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.19 apply (zenon_L129_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.19 apply (zenon_L338_); trivial. % 1.02/1.19 apply (zenon_L602_); trivial. % 1.02/1.19 (* end of lemma zenon_L667_ *) % 1.02/1.19 assert (zenon_L668_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H1cb zenon_Hd9 zenon_Hc4 zenon_H2f2 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H209 zenon_H16b zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H2e0 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_L466_); trivial. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L667_); trivial. % 1.02/1.19 apply (zenon_L665_); trivial. % 1.02/1.19 (* end of lemma zenon_L668_ *) % 1.02/1.19 assert (zenon_L669_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c3_1 (a899)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H13 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H2fb. % 1.02/1.19 generalize (zenon_H13 (a899)). zenon_intro zenon_H2fc. % 1.02/1.19 apply (zenon_imply_s _ _ zenon_H2fc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2fd ]. % 1.02/1.19 exact (zenon_H11 zenon_H12). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2ff | zenon_intro zenon_H2fe ]. % 1.02/1.19 exact (zenon_H2f9 zenon_H2ff). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ]. % 1.02/1.19 exact (zenon_H301 zenon_H2fa). % 1.02/1.19 exact (zenon_H300 zenon_H2fb). % 1.02/1.19 (* end of lemma zenon_L669_ *) % 1.02/1.19 assert (zenon_L670_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H44 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302. % 1.02/1.19 generalize (zenon_H44 (a899)). zenon_intro zenon_H303. % 1.02/1.19 apply (zenon_imply_s _ _ zenon_H303); [ zenon_intro zenon_H11 | zenon_intro zenon_H304 ]. % 1.02/1.19 exact (zenon_H11 zenon_H12). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H2ff | zenon_intro zenon_H305 ]. % 1.02/1.19 exact (zenon_H2f9 zenon_H2ff). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H301 | zenon_intro zenon_H306 ]. % 1.02/1.19 exact (zenon_H301 zenon_H2fa). % 1.02/1.19 exact (zenon_H306 zenon_H302). % 1.02/1.19 (* end of lemma zenon_L670_ *) % 1.02/1.19 assert (zenon_L671_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp14)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H10e zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H62. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.02/1.19 apply (zenon_L670_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.02/1.19 apply (zenon_L71_); trivial. % 1.02/1.19 exact (zenon_H62 zenon_H63). % 1.02/1.19 (* end of lemma zenon_L671_ *) % 1.02/1.19 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H12f zenon_H89 zenon_H21 zenon_H14c zenon_H139 zenon_H137 zenon_H75. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L161_); trivial. % 1.02/1.19 apply (zenon_L671_); trivial. % 1.02/1.19 (* end of lemma zenon_L672_ *) % 1.02/1.19 assert (zenon_L673_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H195 zenon_H111 zenon_H76 zenon_H62 zenon_H14b zenon_H1ed zenon_H1e3 zenon_H12f zenon_H89 zenon_H14c zenon_H139 zenon_H137 zenon_H75 zenon_H25 zenon_H23 zenon_H21 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_Hdb zenon_H2db. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H13 | zenon_intro zenon_H26 ]. % 1.02/1.19 generalize (zenon_H2dd (a899)). zenon_intro zenon_H307. % 1.02/1.19 apply (zenon_imply_s _ _ zenon_H307); [ zenon_intro zenon_H11 | zenon_intro zenon_H308 ]. % 1.02/1.19 exact (zenon_H11 zenon_H12). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H2ff | zenon_intro zenon_H309 ]. % 1.02/1.19 exact (zenon_H2f9 zenon_H2ff). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H2fb | zenon_intro zenon_H306 ]. % 1.02/1.19 apply (zenon_L669_); trivial. % 1.02/1.19 exact (zenon_H306 zenon_H302). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H22 | zenon_intro zenon_H24 ]. % 1.02/1.19 exact (zenon_H21 zenon_H22). % 1.02/1.19 exact (zenon_H23 zenon_H24). % 1.02/1.19 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_Hdc | zenon_intro zenon_H151 ]. % 1.02/1.19 exact (zenon_Hdb zenon_Hdc). % 1.02/1.19 exact (zenon_H150 zenon_H151). % 1.02/1.19 apply (zenon_L672_); trivial. % 1.02/1.19 (* end of lemma zenon_L673_ *) % 1.02/1.19 assert (zenon_L674_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H112 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H134 zenon_H123 zenon_H29 zenon_H21 zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Hbe. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_L84_); trivial. % 1.02/1.19 apply (zenon_L590_); trivial. % 1.02/1.19 apply (zenon_L43_); trivial. % 1.02/1.19 (* end of lemma zenon_L674_ *) % 1.02/1.19 assert (zenon_L675_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H115 zenon_H134 zenon_H7 zenon_H1 zenon_Hfd zenon_H102 zenon_H195 zenon_H111 zenon_H76 zenon_H14b zenon_H1ed zenon_H1e3 zenon_H12f zenon_H14c zenon_H139 zenon_H137 zenon_H75 zenon_H25 zenon_H23 zenon_H21 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_Hdb zenon_H2db zenon_Hbe zenon_H123 zenon_H29 zenon_H37 zenon_H91 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hd9. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_L673_); trivial. % 1.02/1.19 apply (zenon_L601_); trivial. % 1.02/1.19 apply (zenon_L674_); trivial. % 1.02/1.19 (* end of lemma zenon_L675_ *) % 1.02/1.19 assert (zenon_L676_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp15)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp14)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H5e zenon_H5c zenon_H12 zenon_H4d zenon_H4e zenon_H57 zenon_H60 zenon_H62. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.02/1.19 apply (zenon_L670_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.02/1.19 apply (zenon_L27_); trivial. % 1.02/1.19 exact (zenon_H62 zenon_H63). % 1.02/1.19 (* end of lemma zenon_L676_ *) % 1.02/1.19 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp9)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H70 zenon_H6e zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hd. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H44 | zenon_intro zenon_H6f ]. % 1.02/1.19 apply (zenon_L670_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H64 | zenon_intro zenon_He ]. % 1.02/1.19 apply (zenon_L29_); trivial. % 1.02/1.19 exact (zenon_Hd zenon_He). % 1.02/1.19 (* end of lemma zenon_L677_ *) % 1.02/1.19 assert (zenon_L678_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H75 zenon_H6e zenon_Hd zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H5e zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L676_); trivial. % 1.02/1.19 apply (zenon_L677_); trivial. % 1.02/1.19 (* end of lemma zenon_L678_ *) % 1.02/1.19 assert (zenon_L679_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L298_); trivial. % 1.02/1.19 apply (zenon_L671_); trivial. % 1.02/1.19 (* end of lemma zenon_L679_ *) % 1.02/1.19 assert (zenon_L680_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (c1_1 (a928)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (~(c2_1 (a928))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H56 zenon_H18a zenon_H125 zenon_H188 zenon_H12 zenon_Hdd. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.02/1.19 apply (zenon_L24_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.02/1.19 apply (zenon_L147_); trivial. % 1.02/1.19 exact (zenon_Hdd zenon_Hde). % 1.02/1.19 (* end of lemma zenon_L680_ *) % 1.02/1.19 assert (zenon_L681_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp21)) -> (ndr1_0) -> (~(c2_1 (a928))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16)))))) -> (c1_1 (a928)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp14)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdd zenon_H12 zenon_H188 zenon_H125 zenon_H18a zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_H62. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.02/1.19 apply (zenon_L670_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.02/1.19 apply (zenon_L680_); trivial. % 1.02/1.19 exact (zenon_H62 zenon_H63). % 1.02/1.19 (* end of lemma zenon_L681_ *) % 1.02/1.19 assert (zenon_L682_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (~(hskp21)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H14c zenon_H62 zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H18a zenon_H188 zenon_Hdd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H5c. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 1.02/1.19 apply (zenon_L681_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 1.02/1.19 apply (zenon_L45_); trivial. % 1.02/1.19 exact (zenon_H5c zenon_H5d). % 1.02/1.19 (* end of lemma zenon_L682_ *) % 1.02/1.19 assert (zenon_L683_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H75 zenon_H6e zenon_Hd zenon_H76 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H188 zenon_H18a zenon_Hdd zenon_H27e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L682_); trivial. % 1.02/1.19 apply (zenon_L677_); trivial. % 1.02/1.19 (* end of lemma zenon_L683_ *) % 1.02/1.19 assert (zenon_L684_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H192 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.19 apply (zenon_L683_); trivial. % 1.02/1.19 apply (zenon_L73_); trivial. % 1.02/1.19 (* end of lemma zenon_L684_ *) % 1.02/1.19 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H10c zenon_H23 zenon_H14c zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_Hd zenon_H6e zenon_H75 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H152 zenon_H1ed zenon_H16a zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.19 apply (zenon_L679_); trivial. % 1.02/1.19 apply (zenon_L684_); trivial. % 1.02/1.19 (* end of lemma zenon_L685_ *) % 1.02/1.19 assert (zenon_L686_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H12 zenon_H5e zenon_H60. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.19 apply (zenon_L403_); trivial. % 1.02/1.19 apply (zenon_L677_); trivial. % 1.02/1.19 (* end of lemma zenon_L686_ *) % 1.02/1.19 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> False). % 1.02/1.19 do 0 intro. intros zenon_H93 zenon_H6e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H35 zenon_H91 zenon_Hd. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H44 | zenon_intro zenon_H6f ]. % 1.02/1.19 apply (zenon_L670_); trivial. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H64 | zenon_intro zenon_He ]. % 1.02/1.19 apply (zenon_L86_); trivial. % 1.02/1.19 exact (zenon_Hd zenon_He). % 1.02/1.19 (* end of lemma zenon_L687_ *) % 1.02/1.19 assert (zenon_L688_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hbe zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H35 zenon_H219 zenon_Hc9 zenon_Hca zenon_H17b zenon_H17a zenon_H179 zenon_H91 zenon_Hc0. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.19 apply (zenon_L409_); trivial. % 1.02/1.19 apply (zenon_L687_); trivial. % 1.02/1.19 (* end of lemma zenon_L688_ *) % 1.02/1.19 assert (zenon_L689_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_Hbe. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.19 apply (zenon_L688_); trivial. % 1.02/1.19 apply (zenon_L43_); trivial. % 1.02/1.19 (* end of lemma zenon_L689_ *) % 1.02/1.19 assert (zenon_L690_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H196 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_Hbe zenon_H60 zenon_H5e zenon_H12 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.19 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.19 apply (zenon_L686_); trivial. % 1.02/1.19 apply (zenon_L689_); trivial. % 1.02/1.19 (* end of lemma zenon_L690_ *) % 1.02/1.19 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H111 zenon_H10c zenon_H23 zenon_H1ed zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H60 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H196. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.19 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.19 apply (zenon_L690_); trivial. % 1.02/1.19 apply (zenon_L470_); trivial. % 1.02/1.19 (* end of lemma zenon_L691_ *) % 1.02/1.19 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.19 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H168 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_H196 zenon_H75 zenon_H6e zenon_Hd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H111 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H27e zenon_H14c zenon_H23 zenon_H10c zenon_H195 zenon_Hda. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.19 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.19 apply (zenon_L678_); trivial. % 1.02/1.19 apply (zenon_L685_); trivial. % 1.02/1.19 apply (zenon_L691_); trivial. % 1.02/1.19 (* end of lemma zenon_L692_ *) % 1.02/1.19 assert (zenon_L693_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H116 zenon_H168 zenon_H219 zenon_H196 zenon_H6e zenon_Hd zenon_H60 zenon_H16a zenon_H152 zenon_H27e zenon_H10c zenon_Hda zenon_Hd9 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H29 zenon_H123 zenon_Hbe zenon_H2db zenon_Hdb zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H23 zenon_H25 zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H12f zenon_H1e3 zenon_H1ed zenon_H14b zenon_H76 zenon_H111 zenon_H195 zenon_H102 zenon_Hfd zenon_H1 zenon_H7 zenon_H134 zenon_H115. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_L675_); trivial. % 1.02/1.20 apply (zenon_L692_); trivial. % 1.02/1.20 (* end of lemma zenon_L693_ *) % 1.02/1.20 assert (zenon_L694_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a900)) -> (c0_1 (a900)) -> (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(hskp23)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H219 zenon_H158 zenon_H15a zenon_H241 zenon_H66 zenon_H67 zenon_H65 zenon_H12 zenon_H1d9 zenon_H31. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H178 | zenon_intro zenon_H21a ]. % 1.02/1.20 apply (zenon_L250_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H32 ]. % 1.02/1.20 apply (zenon_L290_); trivial. % 1.02/1.20 exact (zenon_H31 zenon_H32). % 1.02/1.20 (* end of lemma zenon_L694_ *) % 1.02/1.20 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c0_1 (a978))) -> (c3_1 (a978)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp21)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp3)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H16c zenon_H21b zenon_H23 zenon_H21 zenon_H14 zenon_H16 zenon_H25 zenon_Hdd zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H1. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.20 apply (zenon_L13_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.20 apply (zenon_L251_); trivial. % 1.02/1.20 exact (zenon_H1 zenon_H2). % 1.02/1.20 (* end of lemma zenon_L695_ *) % 1.02/1.20 assert (zenon_L696_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H2b zenon_H16a zenon_H21b zenon_H1 zenon_H19b zenon_H19c zenon_H19d zenon_Hdd zenon_H23f zenon_H21 zenon_H23 zenon_H25 zenon_H35 zenon_H150 zenon_H152. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L102_); trivial. % 1.02/1.20 apply (zenon_L695_); trivial. % 1.02/1.20 (* end of lemma zenon_L696_ *) % 1.02/1.20 assert (zenon_L697_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hbf zenon_H21b zenon_H1 zenon_H152 zenon_H150 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_Hdd zenon_H23f zenon_H13d zenon_H2a8 zenon_Hb zenon_H219 zenon_H75 zenon_H16a zenon_H91 zenon_H29 zenon_H123 zenon_Hbe. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L102_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L247_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.02/1.20 apply (zenon_L126_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.02/1.20 apply (zenon_L250_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.02/1.20 apply (zenon_L694_); trivial. % 1.02/1.20 exact (zenon_Hb zenon_Hc). % 1.02/1.20 exact (zenon_Hdd zenon_Hde). % 1.02/1.20 apply (zenon_L696_); trivial. % 1.02/1.20 apply (zenon_L590_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L697_ *) % 1.02/1.20 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp12)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H192 zenon_H111 zenon_H10c zenon_Hb zenon_H24d zenon_H23 zenon_H19d zenon_H19c zenon_H19b zenon_H1e3 zenon_H23f zenon_H21 zenon_H25 zenon_H14b. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L455_); trivial. % 1.02/1.20 apply (zenon_L73_); trivial. % 1.02/1.20 (* end of lemma zenon_L698_ *) % 1.02/1.20 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_L409_); trivial. % 1.02/1.20 apply (zenon_L590_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L699_ *) % 1.02/1.20 assert (zenon_L700_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hd9 zenon_H168 zenon_H37 zenon_Hc0 zenon_H196 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hbe zenon_H123 zenon_H29 zenon_H91 zenon_H16a zenon_H75 zenon_H219 zenon_Hb zenon_H2a8 zenon_H13d zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_H21 zenon_H23 zenon_H25 zenon_H14b zenon_H152 zenon_H1 zenon_H21b zenon_Hbf zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_H1e3 zenon_H24d zenon_H10c zenon_H195. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L697_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 apply (zenon_L698_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L697_); trivial. % 1.02/1.20 apply (zenon_L181_); trivial. % 1.02/1.20 apply (zenon_L699_); trivial. % 1.02/1.20 apply (zenon_L698_); trivial. % 1.02/1.20 (* end of lemma zenon_L700_ *) % 1.02/1.20 assert (zenon_L701_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_H91 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L469_); trivial. % 1.02/1.20 apply (zenon_L181_); trivial. % 1.02/1.20 (* end of lemma zenon_L701_ *) % 1.02/1.20 assert (zenon_L702_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H1ed zenon_H111 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H60 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H196. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_L690_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.20 apply (zenon_L701_); trivial. % 1.02/1.20 apply (zenon_L689_); trivial. % 1.02/1.20 (* end of lemma zenon_L702_ *) % 1.02/1.20 assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H168 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_H196 zenon_H75 zenon_H6e zenon_Hd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H111 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H27e zenon_H14c zenon_H195 zenon_Hda. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_L678_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_L679_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L683_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 apply (zenon_L702_); trivial. % 1.02/1.20 (* end of lemma zenon_L703_ *) % 1.02/1.20 assert (zenon_L704_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H115 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H134 zenon_H123 zenon_H29 zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Hbe zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.20 apply (zenon_L81_); trivial. % 1.02/1.20 apply (zenon_L674_); trivial. % 1.02/1.20 (* end of lemma zenon_L704_ *) % 1.02/1.20 assert (zenon_L705_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H57 zenon_H4e zenon_H4d zenon_H4c zenon_H12 zenon_H62. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.02/1.20 apply (zenon_L670_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.02/1.20 apply (zenon_L24_); trivial. % 1.02/1.20 exact (zenon_H62 zenon_H63). % 1.02/1.20 (* end of lemma zenon_L705_ *) % 1.02/1.20 assert (zenon_L706_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (c1_1 (a911)) -> (c3_1 (a911)) -> (c0_1 (a911)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H56 zenon_H66 zenon_H67 zenon_H65 zenon_H1e5 zenon_H12 zenon_Hdd. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.02/1.20 apply (zenon_L24_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.02/1.20 apply (zenon_L290_); trivial. % 1.02/1.20 exact (zenon_Hdd zenon_Hde). % 1.02/1.20 (* end of lemma zenon_L706_ *) % 1.02/1.20 assert (zenon_L707_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp21)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a911)) -> (c3_1 (a911)) -> (c1_1 (a911)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp14)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdd zenon_H12 zenon_H1e5 zenon_H65 zenon_H67 zenon_H66 zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_H62. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.02/1.20 apply (zenon_L670_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.02/1.20 apply (zenon_L706_); trivial. % 1.02/1.20 exact (zenon_H62 zenon_H63). % 1.02/1.20 (* end of lemma zenon_L707_ *) % 1.02/1.20 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp21)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp14)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H70 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdd zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_H62. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.20 apply (zenon_L129_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.20 apply (zenon_L705_); trivial. % 1.02/1.20 apply (zenon_L707_); trivial. % 1.02/1.20 (* end of lemma zenon_L708_ *) % 1.02/1.20 assert (zenon_L709_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H75 zenon_H2e0 zenon_H27e zenon_Hdd zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H5e zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L676_); trivial. % 1.02/1.20 apply (zenon_L708_); trivial. % 1.02/1.20 (* end of lemma zenon_L709_ *) % 1.02/1.20 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H91 zenon_H168 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H76 zenon_H60 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_H14c zenon_H195 zenon_Hda. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L709_); trivial. % 1.02/1.20 apply (zenon_L73_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_L679_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L682_); trivial. % 1.02/1.20 apply (zenon_L708_); trivial. % 1.02/1.20 apply (zenon_L73_); trivial. % 1.02/1.20 apply (zenon_L608_); trivial. % 1.02/1.20 (* end of lemma zenon_L710_ *) % 1.02/1.20 assert (zenon_L711_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hda zenon_H14c zenon_H76 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H60 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_H75. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L676_); trivial. % 1.02/1.20 apply (zenon_L95_); trivial. % 1.02/1.20 apply (zenon_L98_); trivial. % 1.02/1.20 (* end of lemma zenon_L711_ *) % 1.02/1.20 assert (zenon_L712_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H196 zenon_H219 zenon_H2e0 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H75 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H14c zenon_Hda zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_Hbe zenon_H139 zenon_H137 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_H29 zenon_H123 zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H115. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_L89_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_L711_); trivial. % 1.02/1.20 apply (zenon_L608_); trivial. % 1.02/1.20 (* end of lemma zenon_L712_ *) % 1.02/1.20 assert (zenon_L713_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H141 zenon_H140 zenon_H1e5 zenon_H12 zenon_H19b zenon_H19c zenon_H19d. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.02/1.20 apply (zenon_L80_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.02/1.20 apply (zenon_L494_); trivial. % 1.02/1.20 apply (zenon_L126_); trivial. % 1.02/1.20 (* end of lemma zenon_L713_ *) % 1.02/1.20 assert (zenon_L714_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H111 zenon_H75 zenon_H27e zenon_H13d zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H1a4 zenon_H19d zenon_H19c zenon_H19b zenon_H128 zenon_H127 zenon_H126 zenon_H2e0 zenon_H14b zenon_Hbf. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.20 apply (zenon_L91_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.20 apply (zenon_L129_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.20 apply (zenon_L705_); trivial. % 1.02/1.20 apply (zenon_L713_); trivial. % 1.02/1.20 apply (zenon_L708_); trivial. % 1.02/1.20 apply (zenon_L127_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 (* end of lemma zenon_L714_ *) % 1.02/1.20 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H91 zenon_H168 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H126 zenon_H127 zenon_H128 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H111. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_L714_); trivial. % 1.02/1.20 apply (zenon_L608_); trivial. % 1.02/1.20 (* end of lemma zenon_L715_ *) % 1.02/1.20 assert (zenon_L716_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1a4 zenon_H116 zenon_H196 zenon_H219 zenon_H168 zenon_H10c zenon_H60 zenon_H27e zenon_H2e0 zenon_H16a zenon_H152 zenon_Hda zenon_Hd9 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H91 zenon_H37 zenon_H29 zenon_H123 zenon_Hbe zenon_H2db zenon_Hdb zenon_H2f9 zenon_H2fa zenon_H302 zenon_H25 zenon_H75 zenon_H139 zenon_H14c zenon_H12f zenon_H1e3 zenon_H1ed zenon_H14b zenon_H76 zenon_H111 zenon_H195 zenon_H102 zenon_Hfd zenon_H1 zenon_H7 zenon_H134 zenon_H115 zenon_H2a8 zenon_H13d zenon_H23f zenon_H21b zenon_Hbf zenon_H24d zenon_H1c8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_L675_); trivial. % 1.02/1.20 apply (zenon_L710_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_L700_); trivial. % 1.02/1.20 apply (zenon_L710_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.20 apply (zenon_L712_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_L704_); trivial. % 1.02/1.20 apply (zenon_L715_); trivial. % 1.02/1.20 (* end of lemma zenon_L716_ *) % 1.02/1.20 assert (zenon_L717_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hbe zenon_H6e zenon_Hd zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_L135_); trivial. % 1.02/1.20 apply (zenon_L687_); trivial. % 1.02/1.20 (* end of lemma zenon_L717_ *) % 1.02/1.20 assert (zenon_L718_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_L717_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L718_ *) % 1.02/1.20 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H14b zenon_H23 zenon_H25 zenon_H1e3 zenon_H12f zenon_H89 zenon_H21 zenon_H14c zenon_H139 zenon_H137 zenon_H75 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H152 zenon_H1ed zenon_H16a zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_L679_); trivial. % 1.02/1.20 apply (zenon_L672_); trivial. % 1.02/1.20 (* end of lemma zenon_L719_ *) % 1.02/1.20 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_H179 zenon_H17a zenon_H17b zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_L524_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L720_ *) % 1.02/1.20 assert (zenon_L721_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H148 zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H18a zenon_H189 zenon_H188 zenon_H27c zenon_Hdb zenon_H285 zenon_Hf9 zenon_Hed zenon_Hee. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.20 apply (zenon_L62_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H197 | zenon_intro zenon_H286 ]. % 1.02/1.20 apply (zenon_L513_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H187 ]. % 1.02/1.20 apply (zenon_L66_); trivial. % 1.02/1.20 apply (zenon_L120_); trivial. % 1.02/1.20 apply (zenon_L66_); trivial. % 1.02/1.20 (* end of lemma zenon_L721_ *) % 1.02/1.20 assert (zenon_L722_ : ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp29)) -> (~(hskp27)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H14b zenon_Hfd zenon_H27c zenon_Hdb zenon_Hee zenon_Hed zenon_Hf9 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_He4 zenon_He3 zenon_He2 zenon_H5c zenon_H9 zenon_H13d. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.20 apply (zenon_L91_); trivial. % 1.02/1.20 apply (zenon_L721_); trivial. % 1.02/1.20 (* end of lemma zenon_L722_ *) % 1.02/1.20 assert (zenon_L723_ : ((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c3_1 (a958))) -> (~(c1_1 (a958))) -> (~(c0_1 (a958))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H2b zenon_Hfd zenon_He4 zenon_He3 zenon_He2 zenon_H1 zenon_H1d0 zenon_H1bf zenon_H1c0 zenon_H1be zenon_Ha0 zenon_H25 zenon_H21 zenon_H23 zenon_H21b zenon_Hf9 zenon_Hed zenon_Hee. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.20 apply (zenon_L62_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.20 apply (zenon_L13_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.20 apply (zenon_L329_); trivial. % 1.02/1.20 exact (zenon_H1 zenon_H2). % 1.02/1.20 apply (zenon_L66_); trivial. % 1.02/1.20 (* end of lemma zenon_L723_ *) % 1.02/1.20 assert (zenon_L724_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H102 zenon_Hbf zenon_H1d0 zenon_Ha0 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H1 zenon_H21b zenon_H14b zenon_Hfd zenon_H27c zenon_Hee zenon_Hed zenon_Hf9 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H13d zenon_H139 zenon_H137 zenon_H1e3 zenon_H25 zenon_H23 zenon_H21 zenon_H1ed zenon_H75 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.20 apply (zenon_L61_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L722_); trivial. % 1.02/1.20 apply (zenon_L160_); trivial. % 1.02/1.20 apply (zenon_L723_); trivial. % 1.02/1.20 (* end of lemma zenon_L724_ *) % 1.02/1.20 assert (zenon_L725_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdf zenon_Hdb zenon_H75 zenon_H1ed zenon_H21 zenon_H23 zenon_H25 zenon_H1e3 zenon_H137 zenon_H139 zenon_H13d zenon_H285 zenon_Hf9 zenon_Hed zenon_Hee zenon_H27c zenon_Hfd zenon_H14b zenon_H21b zenon_H1 zenon_H1be zenon_H1c0 zenon_H1bf zenon_Ha0 zenon_H1d0 zenon_Hbf zenon_H102. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L724_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 (* end of lemma zenon_L725_ *) % 1.02/1.20 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H16c zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.20 apply (zenon_L129_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.20 apply (zenon_L705_); trivial. % 1.02/1.20 apply (zenon_L228_); trivial. % 1.02/1.20 (* end of lemma zenon_L726_ *) % 1.02/1.20 assert (zenon_L727_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H245 zenon_H37 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_L135_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L537_); trivial. % 1.02/1.20 apply (zenon_L726_); trivial. % 1.02/1.20 (* end of lemma zenon_L727_ *) % 1.02/1.20 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_H91 zenon_H168 zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_L727_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 apply (zenon_L608_); trivial. % 1.02/1.20 (* end of lemma zenon_L728_ *) % 1.02/1.20 assert (zenon_L729_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a953))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a953)) -> (c1_1 (a953)) -> (c0_1 (a900)) -> (c2_1 (a900)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp21)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_Hb zenon_H12 zenon_H11a zenon_Heb zenon_H11c zenon_H11b zenon_H15a zenon_H158 zenon_H2a8 zenon_Hdd. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.02/1.20 apply (zenon_L126_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.02/1.20 apply (zenon_L250_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.02/1.20 apply (zenon_L260_); trivial. % 1.02/1.20 exact (zenon_Hb zenon_Hc). % 1.02/1.20 exact (zenon_Hdd zenon_Hde). % 1.02/1.20 (* end of lemma zenon_L729_ *) % 1.02/1.20 assert (zenon_L730_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (c0_1 (a900)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a900)) -> (c2_1 (a900)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H241 zenon_H12 zenon_H15a zenon_H157 zenon_H159 zenon_H158. % 1.02/1.20 generalize (zenon_H241 (a900)). zenon_intro zenon_H24a. % 1.02/1.20 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H11 | zenon_intro zenon_H24b ]. % 1.02/1.20 exact (zenon_H11 zenon_H12). % 1.02/1.20 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H165 | zenon_intro zenon_H24c ]. % 1.02/1.20 exact (zenon_H165 zenon_H15a). % 1.02/1.20 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H162 | zenon_intro zenon_H164 ]. % 1.02/1.20 generalize (zenon_H157 (a900)). zenon_intro zenon_H15b. % 1.02/1.20 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H11 | zenon_intro zenon_H15c ]. % 1.02/1.20 exact (zenon_H11 zenon_H12). % 1.02/1.20 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 1.02/1.20 exact (zenon_H162 zenon_H15e). % 1.02/1.20 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H165 | zenon_intro zenon_H163 ]. % 1.02/1.20 exact (zenon_H165 zenon_H15a). % 1.02/1.20 exact (zenon_H163 zenon_H159). % 1.02/1.20 exact (zenon_H164 zenon_H158). % 1.02/1.20 (* end of lemma zenon_L730_ *) % 1.02/1.20 assert (zenon_L731_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a900)) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.02/1.20 do 0 intro. intros zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_H158 zenon_H159 zenon_H157 zenon_H15a zenon_H12 zenon_Hdd. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.02/1.20 apply (zenon_L126_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.02/1.20 apply (zenon_L730_); trivial. % 1.02/1.20 exact (zenon_Hdd zenon_Hde). % 1.02/1.20 (* end of lemma zenon_L731_ *) % 1.02/1.20 assert (zenon_L732_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp15)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H131 zenon_H16a zenon_H256 zenon_H5e zenon_H27 zenon_H1d1 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_Hdd zenon_H23f zenon_H35 zenon_H150 zenon_H152. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L102_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.02/1.20 apply (zenon_L729_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.02/1.20 apply (zenon_L731_); trivial. % 1.02/1.20 apply (zenon_L261_); trivial. % 1.02/1.20 (* end of lemma zenon_L732_ *) % 1.02/1.20 assert (zenon_L733_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp15)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_H1ce zenon_H150 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H152 zenon_H23f zenon_Hdd zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_H1d1 zenon_H27 zenon_H5e zenon_H256 zenon_H16a zenon_H134. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.20 apply (zenon_L143_); trivial. % 1.02/1.20 apply (zenon_L732_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L733_ *) % 1.02/1.20 assert (zenon_L734_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L456_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 (* end of lemma zenon_L734_ *) % 1.02/1.20 assert (zenon_L735_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H1a6 zenon_H116 zenon_H60 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H14c zenon_Hda zenon_H13d zenon_H245 zenon_H75 zenon_H1a4 zenon_Hbf zenon_H1ed zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H134 zenon_H16a zenon_H256 zenon_H27 zenon_H1d1 zenon_H2a8 zenon_Hb zenon_H23f zenon_H152 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_H14b zenon_H25 zenon_H1e3 zenon_H23 zenon_H24d zenon_H10c zenon_H195 zenon_H168 zenon_Hbe zenon_H71 zenon_H182 zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_H196 zenon_Hd9. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L733_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 apply (zenon_L698_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_L679_); trivial. % 1.02/1.20 apply (zenon_L734_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L733_); trivial. % 1.02/1.20 apply (zenon_L181_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L733_); trivial. % 1.02/1.20 apply (zenon_L720_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.20 apply (zenon_L459_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L455_); trivial. % 1.02/1.20 apply (zenon_L720_); trivial. % 1.02/1.20 apply (zenon_L470_); trivial. % 1.02/1.20 apply (zenon_L710_); trivial. % 1.02/1.20 (* end of lemma zenon_L735_ *) % 1.02/1.20 assert (zenon_L736_ : ((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a953)) -> (c3_1 (a953)) -> (~(c2_1 (a953))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hff zenon_H16a zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_H11b zenon_H11c zenon_H11a zenon_Hdd zenon_H23f zenon_H245 zenon_H79 zenon_H7a zenon_H7b zenon_H1c0 zenon_H1bf zenon_H1be zenon_H35 zenon_H71. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L537_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.20 apply (zenon_L62_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.20 apply (zenon_L729_); trivial. % 1.02/1.20 apply (zenon_L66_); trivial. % 1.02/1.20 (* end of lemma zenon_L736_ *) % 1.02/1.20 assert (zenon_L737_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H93 zenon_H134 zenon_H102 zenon_H16a zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_H23f zenon_H245 zenon_H35 zenon_H71 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H1be zenon_H1bf zenon_H1c0 zenon_H150 zenon_H1ce. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.20 apply (zenon_L143_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.20 apply (zenon_L61_); trivial. % 1.02/1.20 apply (zenon_L736_); trivial. % 1.02/1.20 (* end of lemma zenon_L737_ *) % 1.02/1.20 assert (zenon_L738_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H1ce zenon_H150 zenon_Hdf zenon_Hdd zenon_Hdb zenon_H245 zenon_H23f zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_Hf9 zenon_Hed zenon_Hee zenon_Hfd zenon_H16a zenon_H102 zenon_H134 zenon_Hbe. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_L135_); trivial. % 1.02/1.20 apply (zenon_L737_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L738_ *) % 1.02/1.20 assert (zenon_L739_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hbe zenon_H134 zenon_H102 zenon_H16a zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_H23f zenon_H245 zenon_Hdb zenon_Hdf zenon_H150 zenon_H1ce zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Ha2 zenon_Hc4. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.20 apply (zenon_L738_); trivial. % 1.02/1.20 apply (zenon_L671_); trivial. % 1.02/1.20 (* end of lemma zenon_L739_ *) % 1.02/1.20 assert (zenon_L740_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp27)) -> (~(c0_1 (a958))) -> (~(c1_1 (a958))) -> (~(c3_1 (a958))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c2_1 (a950))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H16a zenon_H75 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_Hdd zenon_H23f zenon_H13d zenon_H9 zenon_He2 zenon_He3 zenon_He4 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_Hf9 zenon_Hed zenon_Hee zenon_Hdb zenon_H27c zenon_Hfd zenon_H14b zenon_H245 zenon_H79 zenon_H7a zenon_H7b zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H35 zenon_H71. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.20 apply (zenon_L537_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.20 apply (zenon_L722_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.20 apply (zenon_L62_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.02/1.20 apply (zenon_L126_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.02/1.20 apply (zenon_L250_); trivial. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.02/1.20 apply (zenon_L291_); trivial. % 1.02/1.20 exact (zenon_Hb zenon_Hc). % 1.02/1.20 exact (zenon_Hdd zenon_Hde). % 1.02/1.20 apply (zenon_L66_); trivial. % 1.02/1.20 (* end of lemma zenon_L740_ *) % 1.02/1.20 assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H93 zenon_H102 zenon_Hbf zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H71 zenon_H35 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H14b zenon_Hfd zenon_H27c zenon_Hee zenon_Hed zenon_Hf9 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H13d zenon_H23f zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_H75 zenon_H16a zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.20 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.20 apply (zenon_L61_); trivial. % 1.02/1.20 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.20 apply (zenon_L740_); trivial. % 1.02/1.20 apply (zenon_L127_); trivial. % 1.02/1.20 (* end of lemma zenon_L741_ *) % 1.02/1.20 assert (zenon_L742_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_H134 zenon_Hdb zenon_Hdd zenon_Hdf zenon_H7 zenon_H1 zenon_H37 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H16a zenon_H75 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_H23f zenon_H13d zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H27c zenon_H14b zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H71 zenon_H126 zenon_H127 zenon_H128 zenon_H1a4 zenon_Hbf zenon_Hbe. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.20 apply (zenon_L115_); trivial. % 1.02/1.20 apply (zenon_L741_); trivial. % 1.02/1.20 apply (zenon_L43_); trivial. % 1.02/1.20 (* end of lemma zenon_L742_ *) % 1.02/1.20 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.20 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hbe zenon_Hbf zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H71 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H14b zenon_H27c zenon_H285 zenon_H13d zenon_H23f zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_H75 zenon_H16a zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_Hdf zenon_Hdb zenon_H134 zenon_Ha0 zenon_Ha2 zenon_Hc4. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L742_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 (* end of lemma zenon_L743_ *) % 1.02/1.21 assert (zenon_L744_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (~(hskp17)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H196 zenon_H182 zenon_H219 zenon_H91 zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H1ce zenon_H150 zenon_Hdf zenon_Hdb zenon_H245 zenon_H23f zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_Hf9 zenon_Hed zenon_Hee zenon_Hfd zenon_H16a zenon_H102 zenon_H134 zenon_Hbe zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L738_); trivial. % 1.02/1.21 apply (zenon_L181_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.21 apply (zenon_L409_); trivial. % 1.02/1.21 apply (zenon_L737_); trivial. % 1.02/1.21 apply (zenon_L43_); trivial. % 1.02/1.21 apply (zenon_L720_); trivial. % 1.02/1.21 (* end of lemma zenon_L744_ *) % 1.02/1.21 assert (zenon_L745_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_Hbf zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H14b zenon_H27c zenon_H285 zenon_H13d zenon_H75 zenon_H1 zenon_H7 zenon_H22d zenon_H111 zenon_H168 zenon_Hbe zenon_H134 zenon_H102 zenon_H16a zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H19b zenon_H19c zenon_H19d zenon_H2a8 zenon_Hb zenon_H23f zenon_H245 zenon_Hdb zenon_Hdf zenon_H1ce zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_H91 zenon_H219 zenon_H182 zenon_H196. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L744_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_L200_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L742_); trivial. % 1.02/1.21 apply (zenon_L720_); trivial. % 1.02/1.21 (* end of lemma zenon_L745_ *) % 1.02/1.21 assert (zenon_L746_ : ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H2be zenon_H213 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_H6e zenon_Hbe zenon_H1c8 zenon_H60 zenon_H27e zenon_H1a4 zenon_H23f zenon_H24d zenon_H115 zenon_H22d zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Hfd zenon_H102 zenon_Hbf zenon_H27c zenon_H285 zenon_H13d zenon_Hda zenon_H152 zenon_H16a zenon_H134 zenon_H21b zenon_H1 zenon_H2f0 zenon_H2a8 zenon_H27 zenon_H1d1 zenon_H1ce zenon_H75 zenon_H139 zenon_H14c zenon_H12f zenon_H1e3 zenon_H25 zenon_H1ed zenon_H14b zenon_H76 zenon_H111 zenon_H195 zenon_H196 zenon_H219 zenon_H182 zenon_H168 zenon_H256 zenon_H10c zenon_Hd9 zenon_H245 zenon_H2e0 zenon_H116 zenon_H7 zenon_H29f zenon_H29e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.02/1.21 apply (zenon_L718_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L570_); trivial. % 1.02/1.21 apply (zenon_L672_); trivial. % 1.02/1.21 apply (zenon_L719_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.21 apply (zenon_L143_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.02/1.21 apply (zenon_L328_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.02/1.21 apply (zenon_L180_); trivial. % 1.02/1.21 apply (zenon_L261_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.21 apply (zenon_L568_); trivial. % 1.02/1.21 exact (zenon_H1 zenon_H2). % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_L182_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L161_); trivial. % 1.02/1.21 apply (zenon_L720_); trivial. % 1.02/1.21 apply (zenon_L470_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L331_); trivial. % 1.02/1.21 apply (zenon_L725_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L331_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_L200_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L724_); trivial. % 1.02/1.21 apply (zenon_L720_); trivial. % 1.02/1.21 apply (zenon_L728_); trivial. % 1.02/1.21 apply (zenon_L735_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.21 apply (zenon_L140_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.21 apply (zenon_L81_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L739_); trivial. % 1.02/1.21 apply (zenon_L743_); trivial. % 1.02/1.21 apply (zenon_L745_); trivial. % 1.02/1.21 apply (zenon_L728_); trivial. % 1.02/1.21 apply (zenon_L280_); trivial. % 1.02/1.21 (* end of lemma zenon_L746_ *) % 1.02/1.21 assert (zenon_L747_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hda zenon_H213 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H21 zenon_H89 zenon_H12f zenon_H1e3 zenon_H25 zenon_H23 zenon_H1ed zenon_H14b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111 zenon_H195. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L145_); trivial. % 1.02/1.21 apply (zenon_L672_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L179_); trivial. % 1.02/1.21 apply (zenon_L672_); trivial. % 1.02/1.21 (* end of lemma zenon_L747_ *) % 1.02/1.21 assert (zenon_L748_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_Hee zenon_Hed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hf9 zenon_Hfd zenon_H102. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L203_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 (* end of lemma zenon_L748_ *) % 1.02/1.21 assert (zenon_L749_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L748_); trivial. % 1.02/1.21 apply (zenon_L311_); trivial. % 1.02/1.21 (* end of lemma zenon_L749_ *) % 1.02/1.21 assert (zenon_L750_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H115 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_Hda zenon_H213 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H21 zenon_H12f zenon_H1e3 zenon_H25 zenon_H23 zenon_H1ed zenon_H14b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H195 zenon_H196 zenon_Hbe zenon_H219 zenon_H168 zenon_H1 zenon_H21b zenon_Hd9. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L747_); trivial. % 1.02/1.21 apply (zenon_L193_); trivial. % 1.02/1.21 apply (zenon_L749_); trivial. % 1.02/1.21 (* end of lemma zenon_L750_ *) % 1.02/1.21 assert (zenon_L751_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.02/1.21 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H62. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.21 apply (zenon_L40_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.21 apply (zenon_L170_); trivial. % 1.02/1.21 apply (zenon_L705_); trivial. % 1.02/1.21 (* end of lemma zenon_L751_ *) % 1.02/1.21 assert (zenon_L752_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hc4 zenon_H213 zenon_Ha0 zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H209 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_L297_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Heb | zenon_intro zenon_H214 ]. % 1.02/1.21 apply (zenon_L751_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Ha1 ]. % 1.02/1.21 apply (zenon_L45_); trivial. % 1.02/1.21 exact (zenon_Ha0 zenon_Ha1). % 1.02/1.21 (* end of lemma zenon_L752_ *) % 1.02/1.21 assert (zenon_L753_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H111 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H209 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1b7 zenon_H1b5 zenon_Ha0 zenon_H213 zenon_Hc4. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L752_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 (* end of lemma zenon_L753_ *) % 1.02/1.21 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp8)) -> False). % 1.02/1.21 do 0 intro. intros zenon_Ha4 zenon_H20d zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H18a zenon_H189 zenon_H188 zenon_H20b. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 1.02/1.21 apply (zenon_L751_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 1.02/1.21 apply (zenon_L120_); trivial. % 1.02/1.21 exact (zenon_H20b zenon_H20c). % 1.02/1.21 (* end of lemma zenon_L754_ *) % 1.02/1.21 assert (zenon_L755_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_L717_); trivial. % 1.02/1.21 apply (zenon_L754_); trivial. % 1.02/1.21 (* end of lemma zenon_L755_ *) % 1.02/1.21 assert (zenon_L756_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hda zenon_H195 zenon_H20d zenon_H20b zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H91 zenon_Hbe zenon_Hc4 zenon_H213 zenon_Ha0 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H152 zenon_H1ed zenon_H16a zenon_H111 zenon_H76 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H60 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_L678_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L753_); trivial. % 1.02/1.21 apply (zenon_L755_); trivial. % 1.02/1.21 (* end of lemma zenon_L756_ *) % 1.02/1.21 assert (zenon_L757_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.02/1.21 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H178 zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H57 zenon_H4e zenon_H4d zenon_H12 zenon_H166. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.21 apply (zenon_L40_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.21 apply (zenon_L575_); trivial. % 1.02/1.21 apply (zenon_L234_); trivial. % 1.02/1.21 (* end of lemma zenon_L757_ *) % 1.02/1.21 assert (zenon_L758_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp18)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp3)) -> False). % 1.02/1.21 do 0 intro. intros zenon_Ha4 zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H166 zenon_H4d zenon_H4e zenon_H57 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H209 zenon_H1. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.02/1.21 apply (zenon_L131_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.02/1.21 apply (zenon_L757_); trivial. % 1.02/1.21 exact (zenon_H1 zenon_H2). % 1.02/1.21 (* end of lemma zenon_L758_ *) % 1.02/1.21 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H6e zenon_Hd zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1 zenon_H21b zenon_Hc4. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_L717_); trivial. % 1.02/1.21 apply (zenon_L758_); trivial. % 1.02/1.21 apply (zenon_L187_); trivial. % 1.02/1.21 (* end of lemma zenon_L759_ *) % 1.02/1.21 assert (zenon_L760_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_H1d0 zenon_H1b6 zenon_H168 zenon_H1 zenon_H21b zenon_H75 zenon_H6e zenon_Hd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H111 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Ha0 zenon_H213 zenon_Hc4 zenon_Hbe zenon_H91 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_H195 zenon_Hda. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L756_); trivial. % 1.02/1.21 apply (zenon_L759_); trivial. % 1.02/1.21 (* end of lemma zenon_L760_ *) % 1.02/1.21 assert (zenon_L761_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H116 zenon_H6e zenon_Hd zenon_H60 zenon_H16a zenon_H152 zenon_H209 zenon_Hc4 zenon_H91 zenon_H37 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_Hd9 zenon_H21b zenon_H1 zenon_H168 zenon_H219 zenon_Hbe zenon_H196 zenon_H195 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H14b zenon_H1ed zenon_H23 zenon_H25 zenon_H1e3 zenon_H12f zenon_H14c zenon_H139 zenon_H137 zenon_H75 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d1 zenon_H27 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H213 zenon_Hda zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_H115. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L750_); trivial. % 1.02/1.21 apply (zenon_L760_); trivial. % 1.02/1.21 (* end of lemma zenon_L761_ *) % 1.02/1.21 assert (zenon_L762_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L255_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 (* end of lemma zenon_L762_ *) % 1.02/1.21 assert (zenon_L763_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H1ed zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H213 zenon_Ha0 zenon_H1d0 zenon_H134. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L179_); trivial. % 1.02/1.21 apply (zenon_L734_); trivial. % 1.02/1.21 (* end of lemma zenon_L763_ *) % 1.02/1.21 assert (zenon_L764_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (ndr1_0) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hd9 zenon_H256 zenon_H168 zenon_H22d zenon_H219 zenon_Hbe zenon_H196 zenon_H195 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H21b zenon_H1 zenon_H14b zenon_H25 zenon_H23 zenon_H21 zenon_H19b zenon_H19c zenon_H19d zenon_H23f zenon_H13d zenon_H245 zenon_H75 zenon_H1a4 zenon_H1e3 zenon_Hbf zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H12 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d1 zenon_H27 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H213 zenon_H1ed zenon_Hda. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L145_); trivial. % 1.02/1.21 apply (zenon_L762_); trivial. % 1.02/1.21 apply (zenon_L763_); trivial. % 1.02/1.21 apply (zenon_L266_); trivial. % 1.02/1.21 (* end of lemma zenon_L764_ *) % 1.02/1.21 assert (zenon_L765_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.21 apply (zenon_L81_); trivial. % 1.02/1.21 apply (zenon_L749_); trivial. % 1.02/1.21 (* end of lemma zenon_L765_ *) % 1.02/1.21 assert (zenon_L766_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2e0 zenon_H16a zenon_Hbe. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_L727_); trivial. % 1.02/1.21 apply (zenon_L754_); trivial. % 1.02/1.21 (* end of lemma zenon_L766_ *) % 1.02/1.21 assert (zenon_L767_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hda zenon_H195 zenon_H20d zenon_H20b zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_Hbe zenon_Hc4 zenon_H213 zenon_Ha0 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H152 zenon_H1ed zenon_H16a zenon_H75 zenon_H2e0 zenon_H27e zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76 zenon_H111. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L709_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.21 apply (zenon_L753_); trivial. % 1.02/1.21 apply (zenon_L766_); trivial. % 1.02/1.21 (* end of lemma zenon_L767_ *) % 1.02/1.21 assert (zenon_L768_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hbe zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H2e0 zenon_H91 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H209 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1 zenon_H21b zenon_Hc4. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_L603_); trivial. % 1.02/1.21 apply (zenon_L758_); trivial. % 1.02/1.21 apply (zenon_L187_); trivial. % 1.02/1.21 (* end of lemma zenon_L768_ *) % 1.02/1.21 assert (zenon_L769_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a907))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_H1d0 zenon_H91 zenon_H168 zenon_H1b6 zenon_H1 zenon_H21b zenon_H111 zenon_H76 zenon_H60 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Ha0 zenon_H213 zenon_Hc4 zenon_Hbe zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_H195 zenon_Hda. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L767_); trivial. % 1.02/1.21 apply (zenon_L768_); trivial. % 1.02/1.21 (* end of lemma zenon_L769_ *) % 1.02/1.21 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H91 zenon_H168 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H209 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1 zenon_H21b zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H126 zenon_H127 zenon_H128 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H111. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L714_); trivial. % 1.02/1.21 apply (zenon_L768_); trivial. % 1.02/1.21 (* end of lemma zenon_L770_ *) % 1.02/1.21 assert (zenon_L771_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H1a6 zenon_H116 zenon_Hbe zenon_H219 zenon_H91 zenon_H209 zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H1a4 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_H102 zenon_H168 zenon_H1 zenon_H21b zenon_H196 zenon_Hd9 zenon_H115. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L765_); trivial. % 1.02/1.21 apply (zenon_L770_); trivial. % 1.02/1.21 (* end of lemma zenon_L771_ *) % 1.02/1.21 assert (zenon_L772_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H116 zenon_H91 zenon_H60 zenon_H27e zenon_H2e0 zenon_H16a zenon_H152 zenon_H209 zenon_Hc4 zenon_H245 zenon_H37 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_Hd9 zenon_H21b zenon_H1 zenon_H168 zenon_H219 zenon_Hbe zenon_H196 zenon_H195 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H14b zenon_H1ed zenon_H25 zenon_H1e3 zenon_H12f zenon_H14c zenon_H139 zenon_H75 zenon_H1ce zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d1 zenon_H27 zenon_Ha0 zenon_H1d0 zenon_H134 zenon_H213 zenon_Hda zenon_Hdf zenon_Hdb zenon_Hfd zenon_H102 zenon_H115 zenon_H256 zenon_H22d zenon_H23f zenon_H13d zenon_H1a4 zenon_Hbf zenon_H1c8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L750_); trivial. % 1.02/1.21 apply (zenon_L769_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L764_); trivial. % 1.02/1.21 apply (zenon_L769_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L765_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L711_); trivial. % 1.02/1.21 apply (zenon_L768_); trivial. % 1.02/1.21 apply (zenon_L771_); trivial. % 1.02/1.21 (* end of lemma zenon_L772_ *) % 1.02/1.21 assert (zenon_L773_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H168 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_H196 zenon_H75 zenon_H6e zenon_Hd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H111 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H27e zenon_H14c zenon_H10c zenon_H195 zenon_Hda zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L282_); trivial. % 1.02/1.21 apply (zenon_L692_); trivial. % 1.02/1.21 (* end of lemma zenon_L773_ *) % 1.02/1.21 assert (zenon_L774_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_Hbe. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.21 apply (zenon_L409_); trivial. % 1.02/1.21 apply (zenon_L88_); trivial. % 1.02/1.21 apply (zenon_L43_); trivial. % 1.02/1.21 (* end of lemma zenon_L774_ *) % 1.02/1.21 assert (zenon_L775_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H6e zenon_Hd zenon_H168 zenon_H219 zenon_H196 zenon_H75 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H14c zenon_Hda zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_Hbe zenon_H139 zenon_H137 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H91 zenon_H37 zenon_H1 zenon_H7 zenon_H29 zenon_H123 zenon_H134 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H115. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.21 apply (zenon_L89_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_L711_); trivial. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_L686_); trivial. % 1.02/1.21 apply (zenon_L774_); trivial. % 1.02/1.21 apply (zenon_L98_); trivial. % 1.02/1.21 (* end of lemma zenon_L775_ *) % 1.02/1.21 assert (zenon_L776_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H102 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H126 zenon_H127 zenon_H128 zenon_H264 zenon_H266 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.21 apply (zenon_L61_); trivial. % 1.02/1.21 apply (zenon_L477_); trivial. % 1.02/1.21 (* end of lemma zenon_L776_ *) % 1.02/1.21 assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c1_1 (a929))) -> (c0_1 (a929)) -> (c2_1 (a929)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H10e zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H265 zenon_H266 zenon_H264 zenon_H179 zenon_H17a zenon_H17b zenon_H182 zenon_H19b zenon_H19c zenon_H19d. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.02/1.21 apply (zenon_L80_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H178 | zenon_intro zenon_H183 ]. % 1.02/1.21 apply (zenon_L117_); trivial. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H56 | zenon_intro zenon_H78 ]. % 1.02/1.21 apply (zenon_L71_); trivial. % 1.02/1.21 apply (zenon_L376_); trivial. % 1.02/1.21 apply (zenon_L126_); trivial. % 1.02/1.21 (* end of lemma zenon_L777_ *) % 1.02/1.21 assert (zenon_L778_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H184 zenon_H111 zenon_H265 zenon_H182 zenon_Hdf zenon_Hdb zenon_H1a4 zenon_H19d zenon_H19c zenon_H19b zenon_H266 zenon_H264 zenon_H128 zenon_H127 zenon_H126 zenon_Hf9 zenon_Hed zenon_Hee zenon_Hfd zenon_H102. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L776_); trivial. % 1.02/1.21 apply (zenon_L777_); trivial. % 1.02/1.21 (* end of lemma zenon_L778_ *) % 1.02/1.21 assert (zenon_L779_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H265 zenon_H182 zenon_H102 zenon_Hfd zenon_Hee zenon_Hed zenon_Hf9 zenon_H126 zenon_H127 zenon_H128 zenon_H264 zenon_H266 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_Hdb zenon_Hdf zenon_H168 zenon_H111. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L776_); trivial. % 1.02/1.21 apply (zenon_L181_); trivial. % 1.02/1.21 apply (zenon_L778_); trivial. % 1.02/1.21 (* end of lemma zenon_L779_ *) % 1.02/1.21 assert (zenon_L780_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.21 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H196 zenon_H265 zenon_H182 zenon_H168 zenon_H102 zenon_Hfd zenon_H126 zenon_H127 zenon_H128 zenon_H264 zenon_H266 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.02/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.02/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.21 apply (zenon_L776_); trivial. % 1.02/1.21 apply (zenon_L671_); trivial. % 1.02/1.21 apply (zenon_L779_); trivial. % 1.02/1.21 (* end of lemma zenon_L780_ *) % 1.02/1.21 assert (zenon_L781_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_H196 zenon_H265 zenon_H182 zenon_H168 zenon_H102 zenon_Hfd zenon_H264 zenon_H266 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.02/1.22 apply (zenon_L81_); trivial. % 1.02/1.22 apply (zenon_L780_); trivial. % 1.02/1.22 (* end of lemma zenon_L781_ *) % 1.02/1.22 assert (zenon_L782_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H1a6 zenon_H116 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H91 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdf zenon_Hdb zenon_H1a4 zenon_H266 zenon_H264 zenon_Hfd zenon_H102 zenon_H168 zenon_H182 zenon_H265 zenon_H196 zenon_Hd9 zenon_H115. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L781_); trivial. % 1.02/1.22 apply (zenon_L715_); trivial. % 1.02/1.22 (* end of lemma zenon_L782_ *) % 1.02/1.22 assert (zenon_L783_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_Hbf zenon_H14b zenon_H13d zenon_Hdf zenon_Hdb zenon_H1a4 zenon_H182 zenon_H115 zenon_H134 zenon_H123 zenon_H29 zenon_H7 zenon_H1 zenon_Hfd zenon_H102 zenon_H139 zenon_H12f zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_Hda zenon_H195 zenon_H14c zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_H152 zenon_H1ed zenon_H16a zenon_H75 zenon_H2e0 zenon_H27e zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_Hb zenon_H10c zenon_H111 zenon_H168 zenon_H91 zenon_Hbe zenon_H37 zenon_H219 zenon_Hc0 zenon_H196 zenon_Hd9 zenon_H116. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L710_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.22 apply (zenon_L712_); trivial. % 1.02/1.22 apply (zenon_L782_); trivial. % 1.02/1.22 (* end of lemma zenon_L783_ *) % 1.02/1.22 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a953))) -> (c1_1 (a953)) -> (c3_1 (a953)) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hc1 zenon_H16b zenon_H35 zenon_H91 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H11a zenon_H11b zenon_H11c. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.22 apply (zenon_L111_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.22 apply (zenon_L705_); trivial. % 1.02/1.22 apply (zenon_L78_); trivial. % 1.02/1.22 (* end of lemma zenon_L784_ *) % 1.02/1.22 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H131 zenon_Hc0 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H91 zenon_H31 zenon_H35 zenon_H37. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.02/1.22 apply (zenon_L20_); trivial. % 1.02/1.22 apply (zenon_L784_); trivial. % 1.02/1.22 (* end of lemma zenon_L785_ *) % 1.02/1.22 assert (zenon_L786_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H91 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16b zenon_H134. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.22 apply (zenon_L166_); trivial. % 1.02/1.22 apply (zenon_L785_); trivial. % 1.02/1.22 apply (zenon_L186_); trivial. % 1.02/1.22 (* end of lemma zenon_L786_ *) % 1.02/1.22 assert (zenon_L787_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> False). % 1.02/1.22 do 0 intro. intros zenon_Ha4 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H57 zenon_H4e zenon_H4d zenon_H62. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.22 apply (zenon_L751_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.22 apply (zenon_L705_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.22 apply (zenon_L40_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.22 apply (zenon_L376_); trivial. % 1.02/1.22 apply (zenon_L705_); trivial. % 1.02/1.22 (* end of lemma zenon_L787_ *) % 1.02/1.22 assert (zenon_L788_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hc4 zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H134 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H91 zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_H1d0 zenon_Hbe. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L786_); trivial. % 1.02/1.22 apply (zenon_L787_); trivial. % 1.02/1.22 (* end of lemma zenon_L788_ *) % 1.02/1.22 assert (zenon_L789_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hbe zenon_H6e zenon_Hd zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H16b zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_Ha0 zenon_H1d0 zenon_H134. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_L562_); trivial. % 1.02/1.22 apply (zenon_L687_); trivial. % 1.02/1.22 (* end of lemma zenon_L789_ *) % 1.02/1.22 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hd6 zenon_H195 zenon_H219 zenon_H20b zenon_H20d zenon_Hc4 zenon_H209 zenon_H1ce zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H16b zenon_H7 zenon_H1 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe zenon_H21b zenon_H196. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L789_); trivial. % 1.02/1.22 apply (zenon_L240_); trivial. % 1.02/1.22 apply (zenon_L191_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L789_); trivial. % 1.02/1.22 apply (zenon_L241_); trivial. % 1.02/1.22 apply (zenon_L187_); trivial. % 1.02/1.22 (* end of lemma zenon_L790_ *) % 1.02/1.22 assert (zenon_L791_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H195 zenon_H219 zenon_H20b zenon_H20d zenon_H1ce zenon_H168 zenon_Hd zenon_H6e zenon_H21b zenon_H196 zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H1 zenon_H7 zenon_H91 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16b zenon_H134 zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_Hc4. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_L788_); trivial. % 1.02/1.22 apply (zenon_L790_); trivial. % 1.02/1.22 (* end of lemma zenon_L791_ *) % 1.02/1.22 assert (zenon_L792_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H195 zenon_H219 zenon_H20b zenon_H20d zenon_H1ce zenon_H168 zenon_Hd zenon_H6e zenon_H21b zenon_H196 zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H1 zenon_H7 zenon_H91 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16b zenon_H134 zenon_H209 zenon_Hc4 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L791_); trivial. % 1.02/1.22 (* end of lemma zenon_L792_ *) % 1.02/1.22 assert (zenon_L793_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H116 zenon_H195 zenon_H219 zenon_H20b zenon_H20d zenon_Hc4 zenon_H209 zenon_H1ce zenon_H134 zenon_H16b zenon_H7 zenon_H37 zenon_H71 zenon_Hc0 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe zenon_H75 zenon_H139 zenon_H137 zenon_H60 zenon_H14c zenon_Hda zenon_H12f zenon_H128 zenon_H127 zenon_H126 zenon_H12 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdf zenon_Hdb zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_H102 zenon_H168 zenon_H1 zenon_H21b zenon_H196 zenon_Hd9 zenon_H115. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L765_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_L711_); trivial. % 1.02/1.22 apply (zenon_L790_); trivial. % 1.02/1.22 (* end of lemma zenon_L793_ *) % 1.02/1.22 assert (zenon_L794_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H35 zenon_H150 zenon_H152. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.22 apply (zenon_L102_); trivial. % 1.02/1.22 apply (zenon_L726_); trivial. % 1.02/1.22 (* end of lemma zenon_L794_ *) % 1.02/1.22 assert (zenon_L795_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H264 zenon_H266 zenon_H265 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2e0 zenon_H16a. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L794_); trivial. % 1.02/1.22 apply (zenon_L787_); trivial. % 1.02/1.22 (* end of lemma zenon_L795_ *) % 1.02/1.22 assert (zenon_L796_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> (~(hskp23)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H134 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H91 zenon_H7 zenon_H1 zenon_H37 zenon_H35 zenon_H31 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.22 apply (zenon_L356_); trivial. % 1.02/1.22 apply (zenon_L785_); trivial. % 1.02/1.22 (* end of lemma zenon_L796_ *) % 1.02/1.22 assert (zenon_L797_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_H134 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H91 zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_H1d0 zenon_Hbe. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_L796_); trivial. % 1.02/1.22 apply (zenon_L186_); trivial. % 1.02/1.22 apply (zenon_L754_); trivial. % 1.02/1.22 (* end of lemma zenon_L797_ *) % 1.02/1.22 assert (zenon_L798_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hbe zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H1b6 zenon_H188 zenon_H189 zenon_H18a zenon_H285 zenon_H35 zenon_H37 zenon_H1 zenon_H7 zenon_H91 zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16b zenon_H134. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_L796_); trivial. % 1.02/1.22 apply (zenon_L88_); trivial. % 1.02/1.22 (* end of lemma zenon_L798_ *) % 1.02/1.22 assert (zenon_L799_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_H168 zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H126 zenon_H127 zenon_H128 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H111. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_L714_); trivial. % 1.02/1.22 apply (zenon_L483_); trivial. % 1.02/1.22 (* end of lemma zenon_L799_ *) % 1.02/1.22 assert (zenon_L800_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_Hbf zenon_H14b zenon_H13d zenon_H27e zenon_H75 zenon_H1a4 zenon_H182 zenon_H115 zenon_H21b zenon_Hdb zenon_Hdf zenon_H111 zenon_H12f zenon_H139 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H195 zenon_H20d zenon_H20b zenon_H134 zenon_H91 zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H1b6 zenon_H71 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H16b zenon_Hc4 zenon_H168 zenon_H219 zenon_H196 zenon_Hd9 zenon_H116. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.22 apply (zenon_L795_); trivial. % 1.02/1.22 apply (zenon_L797_); trivial. % 1.02/1.22 apply (zenon_L483_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L765_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.22 apply (zenon_L795_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L798_); trivial. % 1.02/1.22 apply (zenon_L754_); trivial. % 1.02/1.22 apply (zenon_L483_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L781_); trivial. % 1.02/1.22 apply (zenon_L799_); trivial. % 1.02/1.22 (* end of lemma zenon_L800_ *) % 1.02/1.22 assert (zenon_L801_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H131 zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.22 apply (zenon_L276_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.22 apply (zenon_L705_); trivial. % 1.02/1.22 apply (zenon_L78_); trivial. % 1.02/1.22 (* end of lemma zenon_L801_ *) % 1.02/1.22 assert (zenon_L802_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H134 zenon_H7 zenon_H1 zenon_H258 zenon_H259 zenon_H25a zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_Hfd zenon_H102. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.22 apply (zenon_L4_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.02/1.22 apply (zenon_L62_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.02/1.22 apply (zenon_L276_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.02/1.22 apply (zenon_L276_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.02/1.22 apply (zenon_L705_); trivial. % 1.02/1.22 apply (zenon_L322_); trivial. % 1.02/1.22 apply (zenon_L801_); trivial. % 1.02/1.22 (* end of lemma zenon_L802_ *) % 1.02/1.22 assert (zenon_L803_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H168 zenon_Hdb zenon_Hdf zenon_H111 zenon_H102 zenon_Hfd zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H1 zenon_H7 zenon_H134. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_L802_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.22 apply (zenon_L323_); trivial. % 1.02/1.22 apply (zenon_L191_); trivial. % 1.02/1.22 (* end of lemma zenon_L803_ *) % 1.02/1.22 assert (zenon_L804_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H261 zenon_H29f zenon_H12f zenon_H1d0 zenon_Ha0 zenon_H115 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H134 zenon_H7 zenon_H1 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_Hfd zenon_H102 zenon_H111 zenon_Hdf zenon_Hdb zenon_H168 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H21b zenon_H196 zenon_Hd9 zenon_H116. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L803_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L765_); trivial. % 1.02/1.22 apply (zenon_L803_); trivial. % 1.02/1.22 (* end of lemma zenon_L804_ *) % 1.02/1.22 assert (zenon_L805_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H29e zenon_H29f zenon_H1c8 zenon_Hbf zenon_H14b zenon_H13d zenon_H27e zenon_H75 zenon_H12f zenon_H111 zenon_Hdf zenon_Hdb zenon_H1a4 zenon_Hfd zenon_H102 zenon_H182 zenon_H115 zenon_H139 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H245 zenon_H76 zenon_H2e0 zenon_H16a zenon_H168 zenon_H219 zenon_H196 zenon_Hd9 zenon_H116 zenon_Hbe zenon_H6e zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.02/1.22 apply (zenon_L718_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L728_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.02/1.22 apply (zenon_L140_); trivial. % 1.02/1.22 apply (zenon_L782_); trivial. % 1.02/1.22 (* end of lemma zenon_L805_ *) % 1.02/1.22 assert (zenon_L806_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H1b6 zenon_H168 zenon_H1 zenon_H21b zenon_Hbe zenon_H6e zenon_Hd zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H209 zenon_H76 zenon_H1b7 zenon_H1b5 zenon_H265 zenon_H266 zenon_H264 zenon_H16b zenon_Hc4. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L717_); trivial. % 1.02/1.22 apply (zenon_L787_); trivial. % 1.02/1.22 apply (zenon_L759_); trivial. % 1.02/1.22 (* end of lemma zenon_L806_ *) % 1.02/1.22 assert (zenon_L807_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H264 zenon_H266 zenon_H265 zenon_H1b5 zenon_H1b7 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2e0 zenon_H16a zenon_Hbe. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L727_); trivial. % 1.02/1.22 apply (zenon_L787_); trivial. % 1.02/1.22 (* end of lemma zenon_L807_ *) % 1.02/1.22 assert (zenon_L808_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c1_1 (a907))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_Ha0 zenon_H1d0 zenon_H91 zenon_H168 zenon_H1b6 zenon_H1 zenon_H21b zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H265 zenon_H266 zenon_H264 zenon_H16b zenon_Hc4. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.22 apply (zenon_L807_); trivial. % 1.02/1.22 apply (zenon_L768_); trivial. % 1.02/1.22 (* end of lemma zenon_L808_ *) % 1.02/1.22 assert (zenon_L809_ : ((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H2f6 zenon_H2b6 zenon_H1d0 zenon_H1 zenon_H21b zenon_H209 zenon_H16b zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_H71 zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_H6e zenon_Hbe zenon_H116 zenon_Hd9 zenon_H196 zenon_H219 zenon_H168 zenon_H16a zenon_H2e0 zenon_H76 zenon_H245 zenon_H264 zenon_H265 zenon_H266 zenon_H25 zenon_H139 zenon_H115 zenon_H182 zenon_H102 zenon_Hfd zenon_H1a4 zenon_Hdb zenon_Hdf zenon_H111 zenon_H12f zenon_H75 zenon_H27e zenon_H13d zenon_H14b zenon_Hbf zenon_H1c8 zenon_H29f zenon_H29e. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.02/1.22 apply (zenon_L805_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L806_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L765_); trivial. % 1.02/1.22 apply (zenon_L806_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L282_); trivial. % 1.02/1.22 apply (zenon_L808_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.02/1.22 apply (zenon_L765_); trivial. % 1.02/1.22 apply (zenon_L808_); trivial. % 1.02/1.22 (* end of lemma zenon_L809_ *) % 1.02/1.22 assert (zenon_L810_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H5e zenon_H60. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.22 apply (zenon_L339_); trivial. % 1.02/1.22 apply (zenon_L677_); trivial. % 1.02/1.22 (* end of lemma zenon_L810_ *) % 1.02/1.22 assert (zenon_L811_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp21)) -> False). % 1.02/1.22 do 0 intro. intros zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H141 zenon_H140 zenon_H12 zenon_H197 zenon_Hdd. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1ee ]. % 1.02/1.22 apply (zenon_L45_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hde ]. % 1.02/1.22 apply (zenon_L494_); trivial. % 1.02/1.22 exact (zenon_Hdd zenon_Hde). % 1.02/1.22 (* end of lemma zenon_L811_ *) % 1.02/1.22 assert (zenon_L812_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H27e zenon_Hdd zenon_H18a zenon_H188 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.22 apply (zenon_L490_); trivial. % 1.02/1.22 apply (zenon_L677_); trivial. % 1.02/1.22 (* end of lemma zenon_L812_ *) % 1.02/1.22 assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.22 apply (zenon_L812_); trivial. % 1.02/1.22 apply (zenon_L671_); trivial. % 1.02/1.22 (* end of lemma zenon_L813_ *) % 1.02/1.22 assert (zenon_L814_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> False). % 1.02/1.22 do 0 intro. intros zenon_H148 zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_Hdb zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc9 zenon_Hca zenon_Hdd zenon_H27c zenon_H2aa zenon_H2ab zenon_H2ac. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.22 apply (zenon_L40_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H8d | zenon_intro zenon_H27d ]. % 1.02/1.22 apply (zenon_L189_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hdc ]. % 1.02/1.22 apply (zenon_L494_); trivial. % 1.02/1.22 exact (zenon_Hdb zenon_Hdc). % 1.02/1.22 apply (zenon_L338_); trivial. % 1.02/1.22 (* end of lemma zenon_L814_ *) % 1.02/1.22 assert (zenon_L815_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a918))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc8 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H13d zenon_H27c zenon_Hdb zenon_Hca zenon_Hc9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L297_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.22 apply (zenon_L91_); trivial. % 1.02/1.22 apply (zenon_L814_); trivial. % 1.02/1.22 apply (zenon_L677_); trivial. % 1.02/1.22 apply (zenon_L340_); trivial. % 1.02/1.22 apply (zenon_L181_); trivial. % 1.02/1.22 (* end of lemma zenon_L815_ *) % 1.02/1.22 assert (zenon_L816_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a950)) -> (c0_1 (a950)) -> (~(c2_1 (a950))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp0)) -> False). % 1.02/1.22 do 0 intro. intros zenon_H27c zenon_H7a zenon_H7b zenon_H79 zenon_H141 zenon_H140 zenon_H12 zenon_H197 zenon_Hdb. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H8d | zenon_intro zenon_H27d ]. % 1.02/1.22 apply (zenon_L37_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hdc ]. % 1.02/1.22 apply (zenon_L494_); trivial. % 1.02/1.22 exact (zenon_Hdb zenon_Hdc). % 1.02/1.22 (* end of lemma zenon_L816_ *) % 1.02/1.22 assert (zenon_L817_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H93 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hdb zenon_H27c zenon_H99 zenon_H98 zenon_H97 zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.22 apply (zenon_L91_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.22 apply (zenon_L40_); trivial. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.22 apply (zenon_L816_); trivial. % 1.02/1.22 apply (zenon_L338_); trivial. % 1.02/1.22 apply (zenon_L677_); trivial. % 1.02/1.22 apply (zenon_L340_); trivial. % 1.02/1.22 (* end of lemma zenon_L817_ *) % 1.02/1.22 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Ha4 zenon_Hbe zenon_Hdb zenon_H27c zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_L498_); trivial. % 1.02/1.22 apply (zenon_L817_); trivial. % 1.02/1.22 (* end of lemma zenon_L818_ *) % 1.02/1.22 assert (zenon_L819_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_Hc4 zenon_Hbe zenon_Hdb zenon_H27c zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L297_); trivial. % 1.02/1.22 apply (zenon_L818_); trivial. % 1.02/1.22 (* end of lemma zenon_L819_ *) % 1.02/1.22 assert (zenon_L820_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H184 zenon_H111 zenon_H10c zenon_H23 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H219 zenon_H13d zenon_Hb zenon_H2a8 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H27c zenon_Hdb zenon_Hbe zenon_Hc4. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.22 apply (zenon_L819_); trivial. % 1.02/1.22 apply (zenon_L73_); trivial. % 1.02/1.22 (* end of lemma zenon_L820_ *) % 1.02/1.22 assert (zenon_L821_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H188 zenon_H18a zenon_H27e zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.22 apply (zenon_L812_); trivial. % 1.02/1.22 apply (zenon_L181_); trivial. % 1.02/1.22 (* end of lemma zenon_L821_ *) % 1.02/1.22 assert (zenon_L822_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a928)) -> (~(c2_1 (a928))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H75 zenon_H2a8 zenon_Hb zenon_H31 zenon_H219 zenon_H17b zenon_H17a zenon_H179 zenon_H27e zenon_Hdd zenon_H18a zenon_H188 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.22 apply (zenon_L490_); trivial. % 1.02/1.22 apply (zenon_L497_); trivial. % 1.02/1.22 (* end of lemma zenon_L822_ *) % 1.02/1.22 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.22 do 0 intro. intros zenon_H192 zenon_H196 zenon_H10c zenon_H23 zenon_H91 zenon_H1ed zenon_H2a8 zenon_Hb zenon_H219 zenon_H13d zenon_H27c zenon_Hdb zenon_H209 zenon_H14b zenon_Hbf zenon_Hbe zenon_Hc4 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.22 apply (zenon_L821_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.22 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.22 apply (zenon_L406_); trivial. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.22 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.22 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.22 apply (zenon_L822_); trivial. % 1.02/1.22 apply (zenon_L817_); trivial. % 1.02/1.22 apply (zenon_L73_); trivial. % 1.02/1.22 (* end of lemma zenon_L823_ *) % 1.02/1.22 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp10)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H195 zenon_H91 zenon_H27e zenon_H14c zenon_H111 zenon_H168 zenon_H16a zenon_H1ed zenon_H152 zenon_H13d zenon_H27c zenon_Hdb zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_Hbe zenon_H2a8 zenon_Hb zenon_H219 zenon_H23 zenon_H10c zenon_H196 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.23 apply (zenon_L810_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.23 apply (zenon_L815_); trivial. % 1.02/1.23 apply (zenon_L820_); trivial. % 1.02/1.23 apply (zenon_L823_); trivial. % 1.02/1.23 (* end of lemma zenon_L824_ *) % 1.02/1.23 assert (zenon_L825_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hd9 zenon_H91 zenon_H168 zenon_H27c zenon_Hdb zenon_Hbe zenon_H2a8 zenon_H219 zenon_H196 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H16a zenon_H1ed zenon_H152 zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_H27e zenon_H14c zenon_H76 zenon_H195 zenon_Hda. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.23 apply (zenon_L810_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L297_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.23 apply (zenon_L91_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.23 apply (zenon_L40_); trivial. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.23 apply (zenon_L811_); trivial. % 1.02/1.23 apply (zenon_L338_); trivial. % 1.02/1.23 apply (zenon_L677_); trivial. % 1.02/1.23 apply (zenon_L340_); trivial. % 1.02/1.23 apply (zenon_L73_); trivial. % 1.02/1.23 apply (zenon_L813_); trivial. % 1.02/1.23 apply (zenon_L824_); trivial. % 1.02/1.23 (* end of lemma zenon_L825_ *) % 1.02/1.23 assert (zenon_L826_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp0)) -> (~(hskp21)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Ha4 zenon_H102 zenon_Hbf zenon_H14b zenon_Hfd zenon_Hf9 zenon_H27c zenon_Hee zenon_Hed zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_Hdb zenon_Hdd zenon_Hdf. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.02/1.23 apply (zenon_L61_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.23 apply (zenon_L514_); trivial. % 1.02/1.23 apply (zenon_L677_); trivial. % 1.02/1.23 apply (zenon_L340_); trivial. % 1.02/1.23 (* end of lemma zenon_L826_ *) % 1.02/1.23 assert (zenon_L827_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc4 zenon_H102 zenon_Hbf zenon_H14b zenon_Hfd zenon_Hf9 zenon_H27c zenon_Hee zenon_Hed zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_Hdb zenon_Hdf zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L297_); trivial. % 1.02/1.23 apply (zenon_L826_); trivial. % 1.02/1.23 (* end of lemma zenon_L827_ *) % 1.02/1.23 assert (zenon_L828_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (ndr1_0) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hbe zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H191 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H37 zenon_H35 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.02/1.23 apply (zenon_L122_); trivial. % 1.02/1.23 apply (zenon_L687_); trivial. % 1.02/1.23 (* end of lemma zenon_L828_ *) % 1.02/1.23 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_Hbe zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H191 zenon_H37 zenon_H91 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_Hc0 zenon_H102 zenon_Hdf zenon_Hdb zenon_H75 zenon_H13d zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H27c zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L828_); trivial. % 1.02/1.23 apply (zenon_L826_); trivial. % 1.02/1.23 apply (zenon_L671_); trivial. % 1.02/1.23 (* end of lemma zenon_L829_ *) % 1.02/1.23 assert (zenon_L830_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Hdb zenon_H27c zenon_H75 zenon_H2a8 zenon_Hb zenon_H13d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_Hbe. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L688_); trivial. % 1.02/1.23 apply (zenon_L818_); trivial. % 1.02/1.23 (* end of lemma zenon_L830_ *) % 1.02/1.23 assert (zenon_L831_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c1_1 (a918))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H196 zenon_H2a8 zenon_Hb zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_Hbe zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hc9 zenon_Hca zenon_Hdb zenon_H27c zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H16a zenon_Hc8 zenon_H168 zenon_H111. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.23 apply (zenon_L815_); trivial. % 1.02/1.23 apply (zenon_L830_); trivial. % 1.02/1.23 (* end of lemma zenon_L831_ *) % 1.02/1.23 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H192 zenon_H196 zenon_Hc4 zenon_Hdb zenon_H27c zenon_H2a8 zenon_Hb zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_Hbe zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.23 apply (zenon_L821_); trivial. % 1.02/1.23 apply (zenon_L830_); trivial. % 1.02/1.23 (* end of lemma zenon_L832_ *) % 1.02/1.23 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H195 zenon_H27e zenon_H14c zenon_H111 zenon_H168 zenon_H16a zenon_H1ed zenon_H152 zenon_H13d zenon_H27c zenon_Hdb zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_Hbe zenon_H37 zenon_H219 zenon_H91 zenon_Hc0 zenon_Hb zenon_H2a8 zenon_H196 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.23 apply (zenon_L810_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_L831_); trivial. % 1.02/1.23 apply (zenon_L832_); trivial. % 1.02/1.23 (* end of lemma zenon_L833_ *) % 1.02/1.23 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (~(hskp21)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> False). % 1.02/1.23 do 0 intro. intros zenon_H148 zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_Hdd zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H57 zenon_H4e zenon_H4d zenon_H62. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.02/1.23 apply (zenon_L40_); trivial. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.02/1.23 apply (zenon_L811_); trivial. % 1.02/1.23 apply (zenon_L705_); trivial. % 1.02/1.23 (* end of lemma zenon_L834_ *) % 1.02/1.23 assert (zenon_L835_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H111 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H75 zenon_H6e zenon_Hd zenon_H13d zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H209 zenon_H14b zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hbf zenon_Hc4. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L297_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.02/1.23 apply (zenon_L91_); trivial. % 1.02/1.23 apply (zenon_L834_); trivial. % 1.02/1.23 apply (zenon_L677_); trivial. % 1.02/1.23 apply (zenon_L340_); trivial. % 1.02/1.23 apply (zenon_L671_); trivial. % 1.02/1.23 (* end of lemma zenon_L835_ *) % 1.02/1.23 assert (zenon_L836_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H14c zenon_H27e zenon_Hc4 zenon_Hbf zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14b zenon_H209 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H13d zenon_Hd zenon_H6e zenon_H75 zenon_H152 zenon_H1ed zenon_H16a zenon_H111. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_L835_); trivial. % 1.02/1.23 apply (zenon_L813_); trivial. % 1.02/1.23 (* end of lemma zenon_L836_ *) % 1.02/1.23 assert (zenon_L837_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_L622_); trivial. % 1.02/1.23 apply (zenon_L671_); trivial. % 1.02/1.23 (* end of lemma zenon_L837_ *) % 1.02/1.23 assert (zenon_L838_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H16c zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.23 apply (zenon_L129_); trivial. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.23 apply (zenon_L338_); trivial. % 1.02/1.23 apply (zenon_L228_); trivial. % 1.02/1.23 (* end of lemma zenon_L838_ *) % 1.02/1.23 assert (zenon_L839_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H16a zenon_H2e0 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H35 zenon_H150 zenon_H152. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.02/1.23 apply (zenon_L102_); trivial. % 1.02/1.23 apply (zenon_L838_); trivial. % 1.02/1.23 (* end of lemma zenon_L839_ *) % 1.02/1.23 assert (zenon_L840_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_Hdd zenon_H75 zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L839_); trivial. % 1.02/1.23 apply (zenon_L630_); trivial. % 1.02/1.23 (* end of lemma zenon_L840_ *) % 1.02/1.23 assert (zenon_L841_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H2e0 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H150 zenon_H152 zenon_H75 zenon_H27e zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_L840_); trivial. % 1.02/1.23 apply (zenon_L671_); trivial. % 1.02/1.23 (* end of lemma zenon_L841_ *) % 1.02/1.23 assert (zenon_L842_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H2a8 zenon_H1ed zenon_H91 zenon_H168 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H16a zenon_H152 zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_H14c zenon_H23 zenon_Hb zenon_H10c zenon_H195 zenon_Hda. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.23 apply (zenon_L837_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_L841_); trivial. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.02/1.23 apply (zenon_L648_); trivial. % 1.02/1.23 apply (zenon_L73_); trivial. % 1.02/1.23 apply (zenon_L637_); trivial. % 1.02/1.23 (* end of lemma zenon_L842_ *) % 1.02/1.23 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H184 zenon_H75 zenon_H2e0 zenon_Hb zenon_H2a8 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H126 zenon_H127 zenon_H128 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.02/1.23 apply (zenon_L97_); trivial. % 1.02/1.23 apply (zenon_L633_); trivial. % 1.02/1.23 (* end of lemma zenon_L843_ *) % 1.02/1.23 assert (zenon_L844_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H192 zenon_H196 zenon_H75 zenon_H2e0 zenon_Hb zenon_H2a8 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H126 zenon_H127 zenon_H128 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.23 apply (zenon_L200_); trivial. % 1.02/1.23 apply (zenon_L843_); trivial. % 1.02/1.23 (* end of lemma zenon_L844_ *) % 1.02/1.23 assert (zenon_L845_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H196 zenon_Hb zenon_H2a8 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_H152 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.02/1.23 apply (zenon_L841_); trivial. % 1.02/1.23 apply (zenon_L844_); trivial. % 1.02/1.23 (* end of lemma zenon_L845_ *) % 1.02/1.23 assert (zenon_L846_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hda zenon_H195 zenon_H196 zenon_Hb zenon_H2a8 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H152 zenon_H16a zenon_H75 zenon_H2e0 zenon_H27e zenon_H1ac zenon_H1ab zenon_H1aa zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.02/1.23 apply (zenon_L837_); trivial. % 1.02/1.23 apply (zenon_L845_); trivial. % 1.02/1.23 (* end of lemma zenon_L846_ *) % 1.02/1.23 assert (zenon_L847_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H2a8 zenon_Hb zenon_H75 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H2e0. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.02/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.02/1.23 apply (zenon_L667_); trivial. % 1.02/1.23 apply (zenon_L634_); trivial. % 1.02/1.23 (* end of lemma zenon_L847_ *) % 1.02/1.23 assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_Hb zenon_H2a8 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_Hc4 zenon_Hbf zenon_H14b zenon_H2e0 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H13d zenon_H27e zenon_H75 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H168 zenon_H111. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.02/1.23 apply (zenon_L631_); trivial. % 1.02/1.23 apply (zenon_L843_); trivial. % 1.02/1.23 (* end of lemma zenon_L848_ *) % 1.02/1.23 assert (zenon_L849_ : ((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp21)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp14)) -> False). % 1.02/1.23 do 0 intro. intros zenon_H70 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hdd zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_H62. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H12. zenon_intro zenon_H72. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H65. zenon_intro zenon_H73. % 1.02/1.23 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H66. zenon_intro zenon_H67. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.02/1.23 apply (zenon_L129_); trivial. % 1.02/1.23 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.02/1.23 apply (zenon_L338_); trivial. % 1.02/1.23 apply (zenon_L707_); trivial. % 1.02/1.23 (* end of lemma zenon_L849_ *) % 1.02/1.23 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.02/1.23 do 0 intro. intros zenon_Hc5 zenon_H111 zenon_H14c zenon_H128 zenon_H127 zenon_H126 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H76 zenon_H62 zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2e0 zenon_H75. % 1.02/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.09/1.23 apply (zenon_L97_); trivial. % 1.09/1.23 apply (zenon_L849_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 (* end of lemma zenon_L850_ *) % 1.09/1.23 assert (zenon_L851_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hb zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H168 zenon_H91 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_Hda. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.23 apply (zenon_L837_); trivial. % 1.09/1.23 apply (zenon_L850_); trivial. % 1.09/1.23 apply (zenon_L652_); trivial. % 1.09/1.23 (* end of lemma zenon_L851_ *) % 1.09/1.23 assert (zenon_L852_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H116 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H12f zenon_H22d zenon_H102 zenon_Hfd zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H115 zenon_Hda zenon_H195 zenon_H10c zenon_Hb zenon_H14c zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H152 zenon_H16a zenon_H75 zenon_H2e0 zenon_H27e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H168 zenon_H91 zenon_H1ed zenon_H2a8 zenon_H196 zenon_Hd9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.23 apply (zenon_L842_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.23 apply (zenon_L81_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.23 apply (zenon_L846_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L622_); trivial. % 1.09/1.23 apply (zenon_L366_); trivial. % 1.09/1.23 apply (zenon_L847_); trivial. % 1.09/1.23 apply (zenon_L848_); trivial. % 1.09/1.23 apply (zenon_L851_); trivial. % 1.09/1.23 (* end of lemma zenon_L852_ *) % 1.09/1.23 assert (zenon_L853_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hc4 zenon_Hbe zenon_Hdb zenon_H27c zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H13d zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1be zenon_H1c0 zenon_H1bf zenon_H219 zenon_H1 zenon_H21b zenon_H14b zenon_Hbf zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hdd zenon_H1ed zenon_H16a. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_L297_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.09/1.23 apply (zenon_L578_); trivial. % 1.09/1.23 apply (zenon_L677_); trivial. % 1.09/1.23 apply (zenon_L340_); trivial. % 1.09/1.23 apply (zenon_L817_); trivial. % 1.09/1.23 (* end of lemma zenon_L853_ *) % 1.09/1.23 assert (zenon_L854_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_Hbf zenon_H14b zenon_H21b zenon_H1 zenon_H219 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_H27c zenon_Hdb zenon_Hbe zenon_Hc4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L853_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 (* end of lemma zenon_L854_ *) % 1.09/1.23 assert (zenon_L855_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hda zenon_H195 zenon_H14c zenon_H27e zenon_Hc4 zenon_Hbe zenon_Hdb zenon_H27c zenon_H13d zenon_H209 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H219 zenon_H1 zenon_H21b zenon_H14b zenon_Hbf zenon_H152 zenon_H1ed zenon_H16a zenon_H62 zenon_H76 zenon_H111 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.23 apply (zenon_L810_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.23 apply (zenon_L854_); trivial. % 1.09/1.23 apply (zenon_L813_); trivial. % 1.09/1.23 (* end of lemma zenon_L855_ *) % 1.09/1.23 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp22)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H93 zenon_H16a zenon_H2e0 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H245 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H35 zenon_H71. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.09/1.23 apply (zenon_L537_); trivial. % 1.09/1.23 apply (zenon_L838_); trivial. % 1.09/1.23 (* end of lemma zenon_L856_ *) % 1.09/1.23 assert (zenon_L857_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H209 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H166 zenon_H168 zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_L839_); trivial. % 1.09/1.23 apply (zenon_L354_); trivial. % 1.09/1.23 (* end of lemma zenon_L857_ *) % 1.09/1.23 assert (zenon_L858_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H195 zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d zenon_H111 zenon_Hc4 zenon_H209 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H168 zenon_H152 zenon_H16a zenon_H60 zenon_H5e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H91 zenon_Hb zenon_H2a8 zenon_H13d zenon_H14b zenon_Hbf zenon_H196. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L622_); trivial. % 1.09/1.23 apply (zenon_L857_); trivial. % 1.09/1.23 apply (zenon_L847_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.23 apply (zenon_L200_); trivial. % 1.09/1.23 apply (zenon_L847_); trivial. % 1.09/1.23 (* end of lemma zenon_L858_ *) % 1.09/1.23 assert (zenon_L859_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H13d zenon_H27e zenon_Hdd zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H62 zenon_H57 zenon_H4e zenon_H4d zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2e0 zenon_H16a zenon_Hbe. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_L727_); trivial. % 1.09/1.23 apply (zenon_L630_); trivial. % 1.09/1.23 (* end of lemma zenon_L859_ *) % 1.09/1.23 assert (zenon_L860_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H111 zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H75 zenon_H27e zenon_H13d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L859_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 (* end of lemma zenon_L860_ *) % 1.09/1.23 assert (zenon_L861_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H116 zenon_H219 zenon_H12f zenon_Hda zenon_H195 zenon_H196 zenon_H2a8 zenon_H14c zenon_H22d zenon_H152 zenon_H60 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H168 zenon_H91 zenon_H1ed zenon_Hd9 zenon_H115 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H245 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a zenon_Hbe zenon_Hb zenon_H10c zenon_H111. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.09/1.23 apply (zenon_L135_); trivial. % 1.09/1.23 apply (zenon_L856_); trivial. % 1.09/1.23 apply (zenon_L630_); trivial. % 1.09/1.23 apply (zenon_L73_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.23 apply (zenon_L81_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.23 apply (zenon_L846_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.23 apply (zenon_L858_); trivial. % 1.09/1.23 apply (zenon_L848_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.23 apply (zenon_L860_); trivial. % 1.09/1.23 apply (zenon_L652_); trivial. % 1.09/1.23 (* end of lemma zenon_L861_ *) % 1.09/1.23 assert (zenon_L862_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_L717_); trivial. % 1.09/1.23 apply (zenon_L359_); trivial. % 1.09/1.23 (* end of lemma zenon_L862_ *) % 1.09/1.23 assert (zenon_L863_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H195 zenon_H20d zenon_H20b zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H91 zenon_H6e zenon_Hbe zenon_Hc4 zenon_H21f zenon_Hd zenon_H21d zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H152 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H16a zenon_H2f9 zenon_H2fa zenon_H302 zenon_H62 zenon_H76 zenon_H111. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L397_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 apply (zenon_L862_); trivial. % 1.09/1.23 (* end of lemma zenon_L863_ *) % 1.09/1.23 assert (zenon_L864_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c3_1 (a923))) -> (c1_1 (a923)) -> (c2_1 (a923)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b7 zenon_H1b5 zenon_H222 zenon_H223 zenon_H224 zenon_H62 zenon_H22b zenon_Hc4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_L297_); trivial. % 1.09/1.23 apply (zenon_L395_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 (* end of lemma zenon_L864_ *) % 1.09/1.23 assert (zenon_L865_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_H134 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_Hdd zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_Hd zenon_H6e zenon_Hbe. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.09/1.23 apply (zenon_L357_); trivial. % 1.09/1.23 apply (zenon_L687_); trivial. % 1.09/1.23 apply (zenon_L359_); trivial. % 1.09/1.23 (* end of lemma zenon_L865_ *) % 1.09/1.23 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H62 zenon_Hbe zenon_H6e zenon_Hd zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H102 zenon_Hc0 zenon_Hfd zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H1b6 zenon_H285 zenon_H37 zenon_H1 zenon_H7 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16b zenon_H134 zenon_H209 zenon_H20b zenon_H20d zenon_Hc4. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.23 apply (zenon_L865_); trivial. % 1.09/1.23 apply (zenon_L671_); trivial. % 1.09/1.23 (* end of lemma zenon_L866_ *) % 1.09/1.23 assert (zenon_L867_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a907))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hda zenon_H22f zenon_H102 zenon_Hfd zenon_H1b6 zenon_H285 zenon_H1 zenon_H7 zenon_H27e zenon_H16b zenon_H134 zenon_H22b zenon_H111 zenon_H76 zenon_H62 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H21f zenon_Hc4 zenon_Hbe zenon_H91 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_H195 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.23 apply (zenon_L810_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.09/1.23 apply (zenon_L863_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.23 apply (zenon_L864_); trivial. % 1.09/1.23 apply (zenon_L866_); trivial. % 1.09/1.23 (* end of lemma zenon_L867_ *) % 1.09/1.23 assert (zenon_L868_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp28)) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp22)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H71 zenon_H14e zenon_H7b zenon_H7a zenon_H79 zenon_H245 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_Heb zenon_H35. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H43 | zenon_intro zenon_H246 ]. % 1.09/1.23 apply (zenon_L162_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H64 | zenon_intro zenon_H14f ]. % 1.09/1.23 apply (zenon_L85_); trivial. % 1.09/1.23 exact (zenon_H14e zenon_H14f). % 1.09/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 1.09/1.23 apply (zenon_L162_); trivial. % 1.09/1.23 exact (zenon_H35 zenon_H36). % 1.09/1.23 (* end of lemma zenon_L868_ *) % 1.09/1.23 assert (zenon_L869_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(hskp22)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H93 zenon_H16a zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H71 zenon_H35 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H245 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.09/1.23 apply (zenon_L868_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.09/1.23 apply (zenon_L338_); trivial. % 1.09/1.23 apply (zenon_L350_); trivial. % 1.09/1.23 apply (zenon_L838_); trivial. % 1.09/1.23 (* end of lemma zenon_L869_ *) % 1.09/1.23 assert (zenon_L870_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_Hdd zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H245 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2e0 zenon_H16a zenon_Hbe. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.09/1.24 apply (zenon_L135_); trivial. % 1.09/1.24 apply (zenon_L869_); trivial. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 (* end of lemma zenon_L870_ *) % 1.09/1.24 assert (zenon_L871_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hbe zenon_H16a zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H245 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H75 zenon_H27e zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L870_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 (* end of lemma zenon_L871_ *) % 1.09/1.24 assert (zenon_L872_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hbe zenon_H16a zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H245 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H75 zenon_H27e zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L870_); trivial. % 1.09/1.24 apply (zenon_L181_); trivial. % 1.09/1.24 (* end of lemma zenon_L872_ *) % 1.09/1.24 assert (zenon_L873_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1cb zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H245 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e0 zenon_H16a zenon_Hbe zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L871_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_L872_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 (* end of lemma zenon_L873_ *) % 1.09/1.24 assert (zenon_L874_ : ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_H25a zenon_H259 zenon_H258 zenon_H1 zenon_H3 zenon_H7. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.09/1.24 apply (zenon_L4_); trivial. % 1.09/1.24 apply (zenon_L371_); trivial. % 1.09/1.24 (* end of lemma zenon_L874_ *) % 1.09/1.24 assert (zenon_L875_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H134 zenon_Hdd zenon_H27e zenon_H7 zenon_H1 zenon_H258 zenon_H259 zenon_H25a zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hfd zenon_H102. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.09/1.24 apply (zenon_L874_); trivial. % 1.09/1.24 apply (zenon_L347_); trivial. % 1.09/1.24 (* end of lemma zenon_L875_ *) % 1.09/1.24 assert (zenon_L876_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2b3 zenon_H2be zenon_Hd9 zenon_H196 zenon_H21b zenon_H168 zenon_H75 zenon_H6e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H195 zenon_H20d zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H91 zenon_Hbe zenon_Hc4 zenon_H21f zenon_H209 zenon_H152 zenon_H1ed zenon_H16a zenon_H76 zenon_H111 zenon_H22b zenon_H134 zenon_H16b zenon_H27e zenon_H7 zenon_H1 zenon_H285 zenon_Hfd zenon_H102 zenon_H22f zenon_Hda zenon_H2e0 zenon_H245 zenon_H13d zenon_H14b zenon_Hbf zenon_H29e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L867_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_L406_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.09/1.24 apply (zenon_L131_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.09/1.24 apply (zenon_L576_); trivial. % 1.09/1.24 exact (zenon_H1 zenon_H2). % 1.09/1.24 apply (zenon_L181_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 apply (zenon_L873_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L321_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L875_); trivial. % 1.09/1.24 apply (zenon_L181_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 apply (zenon_L873_); trivial. % 1.09/1.24 (* end of lemma zenon_L876_ *) % 1.09/1.24 assert (zenon_L877_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H150 zenon_H152 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L383_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 (* end of lemma zenon_L877_ *) % 1.09/1.24 assert (zenon_L878_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc5 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H91 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L407_); trivial. % 1.09/1.24 apply (zenon_L73_); trivial. % 1.09/1.24 (* end of lemma zenon_L878_ *) % 1.09/1.24 assert (zenon_L879_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H91 zenon_H1ed zenon_H209 zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_L878_); trivial. % 1.09/1.24 (* end of lemma zenon_L879_ *) % 1.09/1.24 assert (zenon_L880_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H116 zenon_Hd9 zenon_H91 zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H111 zenon_H76 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H16b zenon_Hc4 zenon_H27e zenon_H14c zenon_Hb zenon_H10c zenon_H195 zenon_Hda zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H23 zenon_H25. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L282_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L877_); trivial. % 1.09/1.24 apply (zenon_L684_); trivial. % 1.09/1.24 apply (zenon_L879_); trivial. % 1.09/1.24 (* end of lemma zenon_L880_ *) % 1.09/1.24 assert (zenon_L881_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H192 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H75. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.09/1.24 apply (zenon_L682_); trivial. % 1.09/1.24 apply (zenon_L621_); trivial. % 1.09/1.24 apply (zenon_L73_); trivial. % 1.09/1.24 (* end of lemma zenon_L881_ *) % 1.09/1.24 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_H168 zenon_H91 zenon_H111 zenon_H10c zenon_Hb zenon_H23 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H16a zenon_H152 zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc4 zenon_H14c zenon_H195 zenon_Hda. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L623_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L841_); trivial. % 1.09/1.24 apply (zenon_L881_); trivial. % 1.09/1.24 apply (zenon_L652_); trivial. % 1.09/1.24 (* end of lemma zenon_L882_ *) % 1.09/1.24 assert (zenon_L883_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_H1a4 zenon_H16b zenon_H139 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_Hda zenon_H195 zenon_H14c zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H152 zenon_H16a zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H75 zenon_H2e0 zenon_H27e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_Hb zenon_H10c zenon_H111 zenon_H91 zenon_H168 zenon_Hbe zenon_H37 zenon_H219 zenon_Hc0 zenon_H2a8 zenon_H196 zenon_Hd9 zenon_H116. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L282_); trivial. % 1.09/1.24 apply (zenon_L882_); trivial. % 1.09/1.24 apply (zenon_L388_); trivial. % 1.09/1.24 (* end of lemma zenon_L883_ *) % 1.09/1.24 assert (zenon_L884_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H168 zenon_H111. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_L408_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 (* end of lemma zenon_L884_ *) % 1.09/1.24 assert (zenon_L885_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(c1_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_Hdd zenon_H75 zenon_H134 zenon_H16b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H91 zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H18a zenon_H189 zenon_H188 zenon_H1b6 zenon_H71 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H245 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2e0 zenon_H16a zenon_Hbe. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.09/1.24 apply (zenon_L796_); trivial. % 1.09/1.24 apply (zenon_L869_); trivial. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 (* end of lemma zenon_L885_ *) % 1.09/1.24 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H13d zenon_H27e zenon_H75 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H91 zenon_H2e0 zenon_H111. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_L650_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 (* end of lemma zenon_L886_ *) % 1.09/1.24 assert (zenon_L887_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H2e0. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_L603_); trivial. % 1.09/1.24 apply (zenon_L423_); trivial. % 1.09/1.24 (* end of lemma zenon_L887_ *) % 1.09/1.24 assert (zenon_L888_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H21b zenon_H1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2e0 zenon_H91 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H258 zenon_H259 zenon_H25a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H16b zenon_Hc4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_L887_); trivial. % 1.09/1.24 apply (zenon_L191_); trivial. % 1.09/1.24 (* end of lemma zenon_L888_ *) % 1.09/1.24 assert (zenon_L889_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H1a4 zenon_H258 zenon_H259 zenon_H25a zenon_H264 zenon_H266 zenon_H265 zenon_H16b zenon_H75 zenon_H139 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H14c zenon_Hda. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.09/1.24 apply (zenon_L386_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.09/1.24 apply (zenon_L80_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.09/1.24 apply (zenon_L276_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.09/1.24 apply (zenon_L338_); trivial. % 1.09/1.24 apply (zenon_L376_); trivial. % 1.09/1.24 apply (zenon_L126_); trivial. % 1.09/1.24 (* end of lemma zenon_L889_ *) % 1.09/1.24 assert (zenon_L890_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2b3 zenon_H2be zenon_H22f zenon_H22b zenon_H21f zenon_Hdb zenon_Hdf zenon_Hd9 zenon_H196 zenon_H21b zenon_H168 zenon_H75 zenon_H6e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H60 zenon_H111 zenon_H76 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H266 zenon_H264 zenon_H265 zenon_H16b zenon_Hc4 zenon_H20d zenon_H134 zenon_H27e zenon_H7 zenon_H1 zenon_H37 zenon_H285 zenon_H71 zenon_Hfd zenon_Hc0 zenon_H102 zenon_H91 zenon_Hbe zenon_H195 zenon_Hda zenon_H116 zenon_H2e0 zenon_H13d zenon_H14b zenon_Hbf zenon_H245 zenon_H25 zenon_H14c zenon_H139 zenon_H1a4 zenon_H1c8 zenon_H29f zenon_H29e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L877_); trivial. % 1.09/1.24 apply (zenon_L866_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_L884_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L282_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L841_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L885_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 apply (zenon_L886_); trivial. % 1.09/1.24 apply (zenon_L388_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.09/1.24 apply (zenon_L424_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L282_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_L422_); trivial. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 apply (zenon_L888_); trivial. % 1.09/1.24 apply (zenon_L889_); trivial. % 1.09/1.24 (* end of lemma zenon_L890_ *) % 1.09/1.24 assert (zenon_L891_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2f4 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H5e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H44 | zenon_intro zenon_H2f5 ]. % 1.09/1.24 apply (zenon_L670_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H287 | zenon_intro zenon_H5f ]. % 1.09/1.24 apply (zenon_L426_); trivial. % 1.09/1.24 exact (zenon_H5e zenon_H5f). % 1.09/1.24 (* end of lemma zenon_L891_ *) % 1.09/1.24 assert (zenon_L892_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H111 zenon_H10c zenon_H23 zenon_H91 zenon_H1ed zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_L470_); trivial. % 1.09/1.24 (* end of lemma zenon_L892_ *) % 1.09/1.24 assert (zenon_L893_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd9 zenon_H10c zenon_H23 zenon_H91 zenon_H2f4 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H111 zenon_H76 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_Hbf zenon_H2c zenon_H29 zenon_H27 zenon_H14b zenon_H28f zenon_H13d zenon_H1e3 zenon_H75 zenon_H195 zenon_Hda. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L679_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L583_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 apply (zenon_L892_); trivial. % 1.09/1.24 (* end of lemma zenon_L893_ *) % 1.09/1.24 assert (zenon_L894_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_H2bf zenon_H150 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91 zenon_Hee zenon_Hed zenon_Ha0 zenon_H213 zenon_Hc0. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.09/1.24 apply (zenon_L410_); trivial. % 1.09/1.24 apply (zenon_L591_); trivial. % 1.09/1.24 apply (zenon_L43_); trivial. % 1.09/1.24 (* end of lemma zenon_L894_ *) % 1.09/1.24 assert (zenon_L895_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H102 zenon_Hc0 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H91 zenon_H37 zenon_H191 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.24 apply (zenon_L638_); trivial. % 1.09/1.24 apply (zenon_L43_); trivial. % 1.09/1.24 (* end of lemma zenon_L895_ *) % 1.09/1.24 assert (zenon_L896_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H102 zenon_Hfd zenon_Hf9 zenon_H37 zenon_H191 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe zenon_Hc0 zenon_H213 zenon_Ha0 zenon_Hed zenon_Hee zenon_H91 zenon_H2bf zenon_Hb zenon_Ha2 zenon_Hc4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L894_); trivial. % 1.09/1.24 apply (zenon_L895_); trivial. % 1.09/1.24 (* end of lemma zenon_L896_ *) % 1.09/1.24 assert (zenon_L897_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H112 zenon_Hda zenon_H195 zenon_H102 zenon_Hfd zenon_H37 zenon_H191 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe zenon_Hc0 zenon_H213 zenon_Ha0 zenon_H91 zenon_H2bf zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_L896_); trivial. % 1.09/1.24 (* end of lemma zenon_L897_ *) % 1.09/1.24 assert (zenon_L898_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H115 zenon_Hda zenon_H195 zenon_H102 zenon_Hfd zenon_H37 zenon_H191 zenon_H29 zenon_H123 zenon_Hbe zenon_Hc0 zenon_H213 zenon_Ha0 zenon_H91 zenon_H2bf zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.24 apply (zenon_L81_); trivial. % 1.09/1.24 apply (zenon_L897_); trivial. % 1.09/1.24 (* end of lemma zenon_L898_ *) % 1.09/1.24 assert (zenon_L899_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hda zenon_H111 zenon_H76 zenon_H75 zenon_H6e zenon_Hd zenon_H13d zenon_H1ed zenon_H62 zenon_H28f zenon_H14b zenon_H27 zenon_H29 zenon_H2c zenon_Hbf zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.09/1.24 apply (zenon_L448_); trivial. % 1.09/1.24 apply (zenon_L677_); trivial. % 1.09/1.24 apply (zenon_L433_); trivial. % 1.09/1.24 apply (zenon_L671_); trivial. % 1.09/1.24 (* end of lemma zenon_L899_ *) % 1.09/1.24 assert (zenon_L900_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hda zenon_H75 zenon_H139 zenon_H137 zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_L98_); trivial. % 1.09/1.24 (* end of lemma zenon_L900_ *) % 1.09/1.24 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(c1_1 (a914))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H196 zenon_H111 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Hf9 zenon_H22d zenon_Hc0 zenon_H213 zenon_Ha0 zenon_Hed zenon_Hee zenon_H91 zenon_H2bf zenon_Hb zenon_Ha2 zenon_Hc4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.24 apply (zenon_L894_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.24 apply (zenon_L200_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L469_); trivial. % 1.09/1.24 apply (zenon_L720_); trivial. % 1.09/1.24 (* end of lemma zenon_L901_ *) % 1.09/1.24 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H196 zenon_Hbe zenon_H219 zenon_H1d0 zenon_Ha0 zenon_H1ed zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H168 zenon_H111 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_L265_); trivial. % 1.09/1.24 (* end of lemma zenon_L902_ *) % 1.09/1.24 assert (zenon_L903_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_Hda zenon_H196 zenon_Hbe zenon_H219 zenon_H1ed zenon_H168 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L748_); trivial. % 1.09/1.24 apply (zenon_L902_); trivial. % 1.09/1.24 (* end of lemma zenon_L903_ *) % 1.09/1.24 assert (zenon_L904_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H115 zenon_H102 zenon_Hfd zenon_Hdb zenon_Hdf zenon_Hda zenon_H213 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H27 zenon_H1d1 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H12 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_H75 zenon_H137 zenon_H139 zenon_H14c zenon_H21 zenon_H12f zenon_H1e3 zenon_H25 zenon_H23 zenon_H1ed zenon_H14b zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H195 zenon_H2f4 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H168 zenon_H219 zenon_Hbe zenon_H196 zenon_Hd9. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L747_); trivial. % 1.09/1.24 apply (zenon_L902_); trivial. % 1.09/1.24 apply (zenon_L903_); trivial. % 1.09/1.24 (* end of lemma zenon_L904_ *) % 1.09/1.24 assert (zenon_L905_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_H1d0 zenon_H1b6 zenon_H168 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H75 zenon_H6e zenon_Hd zenon_H2f9 zenon_H2fa zenon_H302 zenon_H60 zenon_H76 zenon_H111 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Ha0 zenon_H213 zenon_Hc4 zenon_Hbe zenon_H91 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_H195 zenon_Hda. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L756_); trivial. % 1.09/1.24 apply (zenon_L902_); trivial. % 1.09/1.24 (* end of lemma zenon_L905_ *) % 1.09/1.24 assert (zenon_L906_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_Hbe zenon_H219 zenon_H168 zenon_H2f4 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H134 zenon_H1d0 zenon_Ha0 zenon_H213 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Hbf zenon_H1e3 zenon_H1a4 zenon_H75 zenon_H245 zenon_H13d zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_H21 zenon_H23 zenon_H25 zenon_H14b zenon_H1ed zenon_H16a zenon_H76 zenon_H111 zenon_H195 zenon_Hda. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.24 apply (zenon_L891_); trivial. % 1.09/1.24 apply (zenon_L763_); trivial. % 1.09/1.24 apply (zenon_L902_); trivial. % 1.09/1.24 (* end of lemma zenon_L906_ *) % 1.09/1.24 assert (zenon_L907_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp0)\/((hskp21)\/(hskp25))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H115 zenon_Hd9 zenon_Hda zenon_H196 zenon_Hbe zenon_H219 zenon_H1ed zenon_H168 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H102 zenon_Hfd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hdb zenon_Hdf zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.24 apply (zenon_L81_); trivial. % 1.09/1.24 apply (zenon_L903_); trivial. % 1.09/1.24 (* end of lemma zenon_L907_ *) % 1.09/1.24 assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H219 zenon_H168 zenon_H1d0 zenon_H1b6 zenon_H111 zenon_H76 zenon_H60 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H27e zenon_H2e0 zenon_H75 zenon_H16a zenon_H1ed zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Ha0 zenon_H213 zenon_Hc4 zenon_Hbe zenon_H245 zenon_H37 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hc0 zenon_H20b zenon_H20d zenon_H195 zenon_Hda. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L767_); trivial. % 1.09/1.24 apply (zenon_L483_); trivial. % 1.09/1.24 (* end of lemma zenon_L908_ *) % 1.09/1.24 assert (zenon_L909_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> (~(hskp10)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hd9 zenon_Hda zenon_H111 zenon_H10c zenon_H23 zenon_H91 zenon_H1ed zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2f4 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.24 apply (zenon_L466_); trivial. % 1.09/1.24 apply (zenon_L892_); trivial. % 1.09/1.24 (* end of lemma zenon_L909_ *) % 1.09/1.24 assert (zenon_L910_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H184 zenon_H111 zenon_H1a4 zenon_H19d zenon_H19c zenon_H19b zenon_H264 zenon_H266 zenon_H265 zenon_H182 zenon_H128 zenon_H127 zenon_H126 zenon_H91 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.24 apply (zenon_L469_); trivial. % 1.09/1.24 apply (zenon_L777_); trivial. % 1.09/1.24 (* end of lemma zenon_L910_ *) % 1.09/1.24 assert (zenon_L911_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_H111 zenon_H1a4 zenon_H19d zenon_H19c zenon_H19b zenon_H264 zenon_H266 zenon_H265 zenon_H182 zenon_H128 zenon_H127 zenon_H126 zenon_H1ed zenon_H2e0 zenon_H91 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L604_); trivial. % 1.09/1.25 apply (zenon_L910_); trivial. % 1.09/1.25 (* end of lemma zenon_L911_ *) % 1.09/1.25 assert (zenon_L912_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_H116 zenon_H196 zenon_H182 zenon_H2e0 zenon_H168 zenon_H12f zenon_H20f zenon_H2db zenon_Hdb zenon_H2d9 zenon_H191 zenon_H1a4 zenon_Hfd zenon_H102 zenon_H195 zenon_H115 zenon_H14c zenon_H139 zenon_H75 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_H2f4 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H1ed zenon_H91 zenon_H10c zenon_H111 zenon_Hda zenon_Hd9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.25 apply (zenon_L909_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.09/1.25 apply (zenon_L900_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.09/1.25 apply (zenon_L480_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.25 apply (zenon_L466_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L891_); trivial. % 1.09/1.25 apply (zenon_L911_); trivial. % 1.09/1.25 (* end of lemma zenon_L912_ *) % 1.09/1.25 assert (zenon_L913_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H2b3 zenon_Hd9 zenon_Hda zenon_H196 zenon_Hbe zenon_H219 zenon_H1d0 zenon_Ha0 zenon_H1ed zenon_H168 zenon_H111 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2f4 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.25 apply (zenon_L466_); trivial. % 1.09/1.25 apply (zenon_L902_); trivial. % 1.09/1.25 (* end of lemma zenon_L913_ *) % 1.09/1.25 assert (zenon_L914_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hda zenon_H195 zenon_H111 zenon_H76 zenon_H62 zenon_H14c zenon_H27e zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L810_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.25 apply (zenon_L439_); trivial. % 1.09/1.25 apply (zenon_L813_); trivial. % 1.09/1.25 (* end of lemma zenon_L914_ *) % 1.09/1.25 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H195 zenon_H196 zenon_Hc4 zenon_H27c zenon_H2a8 zenon_Hb zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_Hbe zenon_H27e zenon_H14c zenon_H168 zenon_H111 zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L810_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.25 apply (zenon_L439_); trivial. % 1.09/1.25 apply (zenon_L832_); trivial. % 1.09/1.25 (* end of lemma zenon_L915_ *) % 1.09/1.25 assert (zenon_L916_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc5 zenon_H195 zenon_H196 zenon_H75 zenon_H2e0 zenon_Hb zenon_H2a8 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.25 apply (zenon_L439_); trivial. % 1.09/1.25 apply (zenon_L844_); trivial. % 1.09/1.25 (* end of lemma zenon_L916_ *) % 1.09/1.25 assert (zenon_L917_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H112 zenon_Hda zenon_H195 zenon_H196 zenon_H75 zenon_H2e0 zenon_Hb zenon_H2a8 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H126 zenon_H127 zenon_H128 zenon_H14c zenon_H22d zenon_H2d9 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L891_); trivial. % 1.09/1.25 apply (zenon_L916_); trivial. % 1.09/1.25 (* end of lemma zenon_L917_ *) % 1.09/1.25 assert (zenon_L918_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H115 zenon_Hda zenon_H195 zenon_H196 zenon_H75 zenon_H2e0 zenon_Hb zenon_H2a8 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ac zenon_H1ab zenon_H1aa zenon_H14c zenon_H22d zenon_H2d9 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H21 zenon_H12f. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.09/1.25 apply (zenon_L81_); trivial. % 1.09/1.25 apply (zenon_L917_); trivial. % 1.09/1.25 (* end of lemma zenon_L918_ *) % 1.09/1.25 assert (zenon_L919_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a928))) -> (c1_1 (a928)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H184 zenon_H111 zenon_Hc4 zenon_Hdb zenon_H27c zenon_H2a8 zenon_Hb zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H188 zenon_H18a zenon_H27e zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.25 apply (zenon_L812_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.25 apply (zenon_L524_); trivial. % 1.09/1.25 apply (zenon_L818_); trivial. % 1.09/1.25 (* end of lemma zenon_L919_ *) % 1.09/1.25 assert (zenon_L920_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H192 zenon_H196 zenon_H111 zenon_Hc4 zenon_Hdb zenon_H27c zenon_H2a8 zenon_Hb zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe zenon_H14c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L200_); trivial. % 1.09/1.25 apply (zenon_L919_); trivial. % 1.09/1.25 (* end of lemma zenon_L920_ *) % 1.09/1.25 assert (zenon_L921_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c2_1 X47))))))\/((hskp0)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H195 zenon_H196 zenon_H111 zenon_Hc4 zenon_H27c zenon_H2a8 zenon_Hb zenon_H13d zenon_H209 zenon_H14b zenon_Hbf zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_H182 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H71 zenon_Hbe zenon_H14c zenon_H27e zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d zenon_H2d9 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H19d zenon_H19c zenon_H19b zenon_Hdb zenon_H2db zenon_H20f zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L810_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.09/1.25 apply (zenon_L439_); trivial. % 1.09/1.25 apply (zenon_L920_); trivial. % 1.09/1.25 (* end of lemma zenon_L921_ *) % 1.09/1.25 assert (zenon_L922_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hda zenon_H195 zenon_H14c zenon_H27e zenon_Hc4 zenon_Hbf zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14b zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H62 zenon_H76 zenon_H13d zenon_Hd zenon_H6e zenon_H75 zenon_H152 zenon_H1ed zenon_H16a zenon_H111 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L891_); trivial. % 1.09/1.25 apply (zenon_L836_); trivial. % 1.09/1.25 (* end of lemma zenon_L922_ *) % 1.09/1.25 assert (zenon_L923_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_H134 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H2bf zenon_H150 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hbe. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.25 apply (zenon_L413_); trivial. % 1.09/1.25 apply (zenon_L511_); trivial. % 1.09/1.25 (* end of lemma zenon_L923_ *) % 1.09/1.25 assert (zenon_L924_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a906))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp0))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c1_1 (a918))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H196 zenon_H134 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1ce zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_H2bf zenon_Hbe zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hc9 zenon_Hca zenon_Hdb zenon_H27c zenon_H13d zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75 zenon_H152 zenon_H150 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ed zenon_H16a zenon_Hc8 zenon_H168 zenon_H111. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L815_); trivial. % 1.09/1.25 apply (zenon_L923_); trivial. % 1.09/1.25 (* end of lemma zenon_L924_ *) % 1.09/1.25 assert (zenon_L925_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp24)\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp27))\/((ndr1_0)/\((c2_1 (a978))/\((c3_1 (a978))/\(~(c0_1 (a978))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp29)\/((hskp31)\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c1_1 (a906))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp28))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H196 zenon_H134 zenon_H1ce zenon_H219 zenon_H2bf zenon_H150 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc4 zenon_Hbf zenon_H14b zenon_H209 zenon_H13d zenon_H27e zenon_H75 zenon_Hc0 zenon_H71 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H37 zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H245 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2e0 zenon_H16a zenon_Hbe zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L872_); trivial. % 1.09/1.25 apply (zenon_L923_); trivial. % 1.09/1.25 (* end of lemma zenon_L925_ *) % 1.09/1.25 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H2e0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.25 apply (zenon_L667_); trivial. % 1.09/1.25 apply (zenon_L359_); trivial. % 1.09/1.25 (* end of lemma zenon_L926_ *) % 1.09/1.25 assert (zenon_L927_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (ndr1_0) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H29f zenon_H1c8 zenon_H1a4 zenon_H75 zenon_H139 zenon_H60 zenon_H14c zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_H12 zenon_H2f4 zenon_H302 zenon_H2fa zenon_H2f9 zenon_Hc4 zenon_H16b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H1ed zenon_H91 zenon_Hb zenon_H10c zenon_H111 zenon_Hda zenon_Hd9. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.09/1.25 apply (zenon_L466_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L891_); trivial. % 1.09/1.25 apply (zenon_L878_); trivial. % 1.09/1.25 apply (zenon_L388_); trivial. % 1.09/1.25 (* end of lemma zenon_L927_ *) % 1.09/1.25 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H184 zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_Hc0 zenon_H91 zenon_Hca zenon_Hc9 zenon_H219 zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_Hbe. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.25 apply (zenon_L688_); trivial. % 1.09/1.25 apply (zenon_L378_); trivial. % 1.09/1.25 (* end of lemma zenon_L928_ *) % 1.09/1.25 assert (zenon_L929_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H192 zenon_H196 zenon_Hc4 zenon_H16b zenon_H265 zenon_H264 zenon_H266 zenon_H209 zenon_Hc0 zenon_H91 zenon_H219 zenon_H37 zenon_Hbe zenon_H75 zenon_H6e zenon_Hd zenon_H302 zenon_H2fa zenon_H2f9 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H14c zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H111. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L821_); trivial. % 1.09/1.25 apply (zenon_L928_); trivial. % 1.09/1.25 (* end of lemma zenon_L929_ *) % 1.09/1.25 assert (zenon_L930_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc4 zenon_H16b zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H25a zenon_H259 zenon_H258 zenon_H1ed zenon_Hdd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H91. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.09/1.25 apply (zenon_L406_); trivial. % 1.09/1.25 apply (zenon_L423_); trivial. % 1.09/1.25 (* end of lemma zenon_L930_ *) % 1.09/1.25 assert (zenon_L931_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a921))) -> (c0_1 (a921)) -> (c1_1 (a921)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_H91 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1ed zenon_H258 zenon_H259 zenon_H25a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H209 zenon_H265 zenon_H266 zenon_H264 zenon_H16b zenon_Hc4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.09/1.25 apply (zenon_L930_); trivial. % 1.09/1.25 apply (zenon_L181_); trivial. % 1.09/1.25 (* end of lemma zenon_L931_ *) % 1.09/1.25 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H196 zenon_Hc0 zenon_H219 zenon_H37 zenon_Hbe zenon_Hc4 zenon_H16b zenon_H264 zenon_H266 zenon_H265 zenon_H209 zenon_H25a zenon_H259 zenon_H258 zenon_H1ed zenon_H91 zenon_H168 zenon_H111 zenon_H60 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2f9 zenon_H2fa zenon_H302 zenon_Hd zenon_H6e zenon_H75. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.09/1.25 apply (zenon_L810_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.09/1.25 apply (zenon_L931_); trivial. % 1.09/1.25 apply (zenon_L928_); trivial. % 1.09/1.25 (* end of lemma zenon_L932_ *) % 1.09/1.25 assert (zenon_L933_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(hskp14)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H22b zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H28f zenon_H62. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 1.09/1.25 apply (zenon_L276_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H13 | zenon_intro zenon_H290 ]. % 1.09/1.25 generalize (zenon_H221 (a899)). zenon_intro zenon_H30a. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H30a); [ zenon_intro zenon_H11 | zenon_intro zenon_H30b ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2fb | zenon_intro zenon_H305 ]. % 1.09/1.25 apply (zenon_L669_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H301 | zenon_intro zenon_H306 ]. % 1.09/1.25 exact (zenon_H301 zenon_H2fa). % 1.09/1.25 exact (zenon_H306 zenon_H302). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H287 | zenon_intro zenon_H63 ]. % 1.09/1.25 apply (zenon_L426_); trivial. % 1.09/1.25 exact (zenon_H62 zenon_H63). % 1.09/1.25 exact (zenon_H62 zenon_H63). % 1.09/1.25 (* end of lemma zenon_L933_ *) % 1.09/1.25 assert (zenon_L934_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c3_1 (a898)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H8d zenon_H12 zenon_H30c zenon_H30d zenon_H30e. % 1.09/1.25 generalize (zenon_H8d (a898)). zenon_intro zenon_H30f. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H30f); [ zenon_intro zenon_H11 | zenon_intro zenon_H310 ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H312 | zenon_intro zenon_H311 ]. % 1.09/1.25 exact (zenon_H30c zenon_H312). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H314 | zenon_intro zenon_H313 ]. % 1.09/1.25 exact (zenon_H314 zenon_H30d). % 1.09/1.25 exact (zenon_H313 zenon_H30e). % 1.09/1.25 (* end of lemma zenon_L934_ *) % 1.09/1.25 assert (zenon_L935_ : (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a898)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H56 zenon_H12 zenon_H30c zenon_H8d zenon_H30d. % 1.09/1.25 generalize (zenon_H56 (a898)). zenon_intro zenon_H315. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H315); [ zenon_intro zenon_H11 | zenon_intro zenon_H316 ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H312 | zenon_intro zenon_H317 ]. % 1.09/1.25 exact (zenon_H30c zenon_H312). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H30e | zenon_intro zenon_H314 ]. % 1.09/1.25 apply (zenon_L934_); trivial. % 1.09/1.25 exact (zenon_H314 zenon_H30d). % 1.09/1.25 (* end of lemma zenon_L935_ *) % 1.09/1.25 assert (zenon_L936_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a900)) -> (c3_1 (a900)) -> (c2_1 (a900)) -> (forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70)))))) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H168 zenon_H15a zenon_H159 zenon_H158 zenon_Haa zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H166. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 1.09/1.25 apply (zenon_L104_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 1.09/1.25 apply (zenon_L935_); trivial. % 1.09/1.25 exact (zenon_H166 zenon_H167). % 1.09/1.25 (* end of lemma zenon_L936_ *) % 1.09/1.25 assert (zenon_L937_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a969)) -> (~(c2_1 (a969))) -> (~(c1_1 (a969))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a898)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c0_1 (a900)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp1)) -> False). % 1.09/1.25 do 0 intro. intros zenon_Ha7 zenon_H3c zenon_H3b zenon_H3a zenon_H166 zenon_H12 zenon_H30c zenon_H8d zenon_H30d zenon_H158 zenon_H159 zenon_H15a zenon_H168 zenon_H87. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 1.09/1.25 apply (zenon_L21_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 1.09/1.25 apply (zenon_L936_); trivial. % 1.09/1.25 exact (zenon_H87 zenon_H88). % 1.09/1.25 (* end of lemma zenon_L937_ *) % 1.09/1.25 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp18)) -> (~(c1_1 (a969))) -> (~(c2_1 (a969))) -> (c0_1 (a969)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp22)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H16c zenon_H91 zenon_H87 zenon_H168 zenon_H30d zenon_H30c zenon_H166 zenon_H3a zenon_H3b zenon_H3c zenon_Ha7 zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 1.09/1.25 apply (zenon_L21_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 1.09/1.25 apply (zenon_L937_); trivial. % 1.09/1.25 exact (zenon_H35 zenon_H36). % 1.09/1.25 (* end of lemma zenon_L938_ *) % 1.09/1.25 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc1 zenon_H16a zenon_H91 zenon_H168 zenon_H166 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H35 zenon_H150 zenon_H152. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.09/1.25 apply (zenon_L102_); trivial. % 1.09/1.25 apply (zenon_L938_); trivial. % 1.09/1.25 (* end of lemma zenon_L939_ *) % 1.09/1.25 assert (zenon_L940_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H166 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H150 zenon_H152 zenon_H31 zenon_H35 zenon_H37. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.09/1.25 apply (zenon_L20_); trivial. % 1.09/1.25 apply (zenon_L939_); trivial. % 1.09/1.25 (* end of lemma zenon_L940_ *) % 1.09/1.25 assert (zenon_L941_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1d9 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.09/1.25 generalize (zenon_H1d9 (a898)). zenon_intro zenon_H319. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H319); [ zenon_intro zenon_H11 | zenon_intro zenon_H31a ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H312 | zenon_intro zenon_H31b ]. % 1.09/1.25 exact (zenon_H30c zenon_H312). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H314 | zenon_intro zenon_H31c ]. % 1.09/1.25 exact (zenon_H314 zenon_H30d). % 1.09/1.25 exact (zenon_H31c zenon_H318). % 1.09/1.25 (* end of lemma zenon_L941_ *) % 1.09/1.25 assert (zenon_L942_ : ((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp7)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H184 zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_Hb. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.09/1.25 apply (zenon_L117_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.09/1.25 apply (zenon_L941_); trivial. % 1.09/1.25 exact (zenon_Hb zenon_Hc). % 1.09/1.25 (* end of lemma zenon_L942_ *) % 1.09/1.25 assert (zenon_L943_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H1e3 zenon_H18a zenon_H189 zenon_H188 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H13b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H187 | zenon_intro zenon_H1e4 ]. % 1.12/1.25 apply (zenon_L120_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H13c ]. % 1.12/1.25 apply (zenon_L941_); trivial. % 1.12/1.25 exact (zenon_H13b zenon_H13c). % 1.12/1.25 (* end of lemma zenon_L943_ *) % 1.12/1.25 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hc1 zenon_H14b zenon_Ha7 zenon_H87 zenon_H188 zenon_H189 zenon_H18a zenon_H30c zenon_H30d zenon_H318 zenon_H1e3. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.25 apply (zenon_L943_); trivial. % 1.12/1.25 apply (zenon_L93_); trivial. % 1.12/1.25 (* end of lemma zenon_L944_ *) % 1.12/1.25 assert (zenon_L945_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H188 zenon_H189 zenon_H18a zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H31 zenon_H35 zenon_H37. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.25 apply (zenon_L20_); trivial. % 1.12/1.25 apply (zenon_L944_); trivial. % 1.12/1.25 (* end of lemma zenon_L945_ *) % 1.12/1.25 assert (zenon_L946_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hbe zenon_Hbc zenon_H27 zenon_H37 zenon_H35 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H18a zenon_H189 zenon_H188 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.25 apply (zenon_L945_); trivial. % 1.12/1.25 apply (zenon_L47_); trivial. % 1.12/1.25 (* end of lemma zenon_L946_ *) % 1.12/1.25 assert (zenon_L947_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.25 apply (zenon_L946_); trivial. % 1.12/1.25 apply (zenon_L43_); trivial. % 1.12/1.25 (* end of lemma zenon_L947_ *) % 1.12/1.25 assert (zenon_L948_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (c1_1 (a898)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H195 zenon_H14b zenon_H1e3 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H152 zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe zenon_H318 zenon_H2a8 zenon_H196. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.25 apply (zenon_L940_); trivial. % 1.12/1.25 apply (zenon_L47_); trivial. % 1.12/1.25 apply (zenon_L43_); trivial. % 1.12/1.25 apply (zenon_L942_); trivial. % 1.12/1.25 apply (zenon_L947_); trivial. % 1.12/1.25 (* end of lemma zenon_L948_ *) % 1.12/1.25 assert (zenon_L949_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H2b6 zenon_H2c zenon_H29 zenon_H196 zenon_H2a8 zenon_H318 zenon_Hbe zenon_Hbc zenon_H27 zenon_H37 zenon_H152 zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H168 zenon_H91 zenon_H16a zenon_Hc0 zenon_Ha0 zenon_Ha2 zenon_Hc4 zenon_H1e3 zenon_H14b zenon_H195. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.25 apply (zenon_L948_); trivial. % 1.12/1.25 apply (zenon_L344_); trivial. % 1.12/1.25 (* end of lemma zenon_L949_ *) % 1.12/1.25 assert (zenon_L950_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_H78 zenon_H30c zenon_H318 zenon_H30d. % 1.12/1.25 generalize (zenon_Hb0 (a898)). zenon_intro zenon_H31d. % 1.12/1.25 apply (zenon_imply_s _ _ zenon_H31d); [ zenon_intro zenon_H11 | zenon_intro zenon_H31e ]. % 1.12/1.25 exact (zenon_H11 zenon_H12). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H30e | zenon_intro zenon_H31b ]. % 1.12/1.25 generalize (zenon_H78 (a898)). zenon_intro zenon_H31f. % 1.12/1.25 apply (zenon_imply_s _ _ zenon_H31f); [ zenon_intro zenon_H11 | zenon_intro zenon_H320 ]. % 1.12/1.25 exact (zenon_H11 zenon_H12). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H312 | zenon_intro zenon_H321 ]. % 1.12/1.25 exact (zenon_H30c zenon_H312). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H31c | zenon_intro zenon_H313 ]. % 1.12/1.25 exact (zenon_H31c zenon_H318). % 1.12/1.25 exact (zenon_H313 zenon_H30e). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H314 | zenon_intro zenon_H31c ]. % 1.12/1.25 exact (zenon_H314 zenon_H30d). % 1.12/1.25 exact (zenon_H31c zenon_H318). % 1.12/1.25 (* end of lemma zenon_L950_ *) % 1.12/1.25 assert (zenon_L951_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp17)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H78 zenon_H12 zenon_H33 zenon_H150. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H2c0 ]. % 1.12/1.25 apply (zenon_L950_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H34 | zenon_intro zenon_H151 ]. % 1.12/1.25 exact (zenon_H33 zenon_H34). % 1.12/1.25 exact (zenon_H150 zenon_H151). % 1.12/1.25 (* end of lemma zenon_L951_ *) % 1.12/1.25 assert (zenon_L952_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp17)) -> (~(hskp26)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp1)) -> (~(hskp13)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H8b zenon_H150 zenon_H33 zenon_H12 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_H87 zenon_H89. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 1.12/1.25 apply (zenon_L951_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 1.12/1.25 exact (zenon_H87 zenon_H88). % 1.12/1.25 exact (zenon_H89 zenon_H8a). % 1.12/1.25 (* end of lemma zenon_L952_ *) % 1.12/1.25 assert (zenon_L953_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H187 zenon_H12 zenon_H30c zenon_H8d zenon_H30d zenon_H318. % 1.12/1.25 generalize (zenon_H187 (a898)). zenon_intro zenon_H322. % 1.12/1.25 apply (zenon_imply_s _ _ zenon_H322); [ zenon_intro zenon_H11 | zenon_intro zenon_H323 ]. % 1.12/1.25 exact (zenon_H11 zenon_H12). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H312 | zenon_intro zenon_H324 ]. % 1.12/1.25 exact (zenon_H30c zenon_H312). % 1.12/1.25 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H30e | zenon_intro zenon_H31c ]. % 1.12/1.25 apply (zenon_L934_); trivial. % 1.12/1.25 exact (zenon_H31c zenon_H318). % 1.12/1.25 (* end of lemma zenon_L953_ *) % 1.12/1.25 assert (zenon_L954_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(hskp1)) -> (~(hskp5)) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hbc zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H187 zenon_H87 zenon_H27. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbd ]. % 1.12/1.25 apply (zenon_L953_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H88 | zenon_intro zenon_H28 ]. % 1.12/1.25 exact (zenon_H87 zenon_H88). % 1.12/1.25 exact (zenon_H27 zenon_H28). % 1.12/1.25 (* end of lemma zenon_L954_ *) % 1.12/1.25 assert (zenon_L955_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H1e3 zenon_H27 zenon_H87 zenon_Hbc zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H13b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H187 | zenon_intro zenon_H1e4 ]. % 1.12/1.25 apply (zenon_L954_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H13c ]. % 1.12/1.25 apply (zenon_L941_); trivial. % 1.12/1.25 exact (zenon_H13b zenon_H13c). % 1.12/1.25 (* end of lemma zenon_L955_ *) % 1.12/1.25 assert (zenon_L956_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hc1 zenon_H14b zenon_Ha7 zenon_Hbc zenon_H27 zenon_H87 zenon_H318 zenon_H30d zenon_H30c zenon_H1e3. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.25 apply (zenon_L955_); trivial. % 1.12/1.25 apply (zenon_L93_); trivial. % 1.12/1.25 (* end of lemma zenon_L956_ *) % 1.12/1.25 assert (zenon_L957_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hc0 zenon_H14b zenon_Ha7 zenon_Hbc zenon_H27 zenon_H1e3 zenon_H2bf zenon_H150 zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H89 zenon_H8b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.25 apply (zenon_L952_); trivial. % 1.12/1.25 apply (zenon_L956_); trivial. % 1.12/1.25 (* end of lemma zenon_L957_ *) % 1.12/1.25 assert (zenon_L958_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp20)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H1df zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H87 zenon_H1dd. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1e0 ]. % 1.12/1.25 apply (zenon_L941_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H88 | zenon_intro zenon_H1de ]. % 1.12/1.25 exact (zenon_H87 zenon_H88). % 1.12/1.25 exact (zenon_H1dd zenon_H1de). % 1.12/1.25 (* end of lemma zenon_L958_ *) % 1.12/1.25 assert (zenon_L959_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H93 zenon_H14b zenon_Ha7 zenon_H87 zenon_H89 zenon_H8b zenon_H188 zenon_H189 zenon_H18a zenon_H30c zenon_H30d zenon_H318 zenon_H1e3. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.25 apply (zenon_L943_); trivial. % 1.12/1.25 apply (zenon_L571_); trivial. % 1.12/1.25 (* end of lemma zenon_L959_ *) % 1.12/1.25 assert (zenon_L960_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hbe zenon_H89 zenon_H8b zenon_H37 zenon_H35 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H18a zenon_H189 zenon_H188 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.25 apply (zenon_L945_); trivial. % 1.12/1.25 apply (zenon_L959_); trivial. % 1.12/1.25 (* end of lemma zenon_L960_ *) % 1.12/1.25 assert (zenon_L961_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a937))) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H76 zenon_H1fd zenon_H1fc zenon_H4c zenon_H204 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H62. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.25 apply (zenon_L172_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.25 apply (zenon_L935_); trivial. % 1.12/1.25 exact (zenon_H62 zenon_H63). % 1.12/1.25 (* end of lemma zenon_L961_ *) % 1.12/1.25 assert (zenon_L962_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_H76 zenon_H1fd zenon_H1fc zenon_H204 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H62. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.12/1.25 apply (zenon_L40_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.12/1.25 apply (zenon_L170_); trivial. % 1.12/1.25 apply (zenon_L961_); trivial. % 1.12/1.25 (* end of lemma zenon_L962_ *) % 1.12/1.25 assert (zenon_L963_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> (~(hskp8)) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a937)) -> (~(c3_1 (a937))) -> (~(c0_1 (a937))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.12/1.25 do 0 intro. intros zenon_Ha4 zenon_H1d0 zenon_H1b6 zenon_H20b zenon_H188 zenon_H189 zenon_H18a zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H76 zenon_H1fd zenon_H1fc zenon_H204 zenon_H30d zenon_H30c zenon_H62 zenon_H20d zenon_Ha0. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.25 apply (zenon_L131_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 1.12/1.25 apply (zenon_L962_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 1.12/1.25 apply (zenon_L120_); trivial. % 1.12/1.25 exact (zenon_H20b zenon_H20c). % 1.12/1.25 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.25 (* end of lemma zenon_L963_ *) % 1.12/1.25 assert (zenon_L964_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H195 zenon_H20f zenon_Hc4 zenon_H1d0 zenon_Ha0 zenon_H209 zenon_H62 zenon_H76 zenon_H20b zenon_H20d zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H37 zenon_Hbe zenon_H1df zenon_H8b zenon_H89 zenon_H87 zenon_H12 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_H1e3 zenon_H27 zenon_Hbc zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.25 apply (zenon_L957_); trivial. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.12/1.25 apply (zenon_L958_); trivial. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.25 apply (zenon_L960_); trivial. % 1.12/1.25 apply (zenon_L963_); trivial. % 1.12/1.25 (* end of lemma zenon_L964_ *) % 1.12/1.25 assert (zenon_L965_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H166. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 1.12/1.25 apply (zenon_L180_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 1.12/1.25 apply (zenon_L935_); trivial. % 1.12/1.25 exact (zenon_H166 zenon_H167). % 1.12/1.25 (* end of lemma zenon_L965_ *) % 1.12/1.25 assert (zenon_L966_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp4)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H166 zenon_H12 zenon_H30c zenon_H30d zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_Ha0. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.25 apply (zenon_L131_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.25 apply (zenon_L965_); trivial. % 1.12/1.25 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.25 (* end of lemma zenon_L966_ *) % 1.12/1.25 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hbe zenon_H219 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H168 zenon_H30d zenon_H30c zenon_Ha0 zenon_H1d0. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.25 apply (zenon_L966_); trivial. % 1.12/1.25 apply (zenon_L187_); trivial. % 1.12/1.25 (* end of lemma zenon_L967_ *) % 1.12/1.25 assert (zenon_L968_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H219 zenon_H168 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_Hbc zenon_H27 zenon_H1e3 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H1df zenon_Hbe zenon_H37 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H20d zenon_H20b zenon_H76 zenon_H209 zenon_Ha0 zenon_H1d0 zenon_Hc4 zenon_H20f zenon_H195. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.25 apply (zenon_L964_); trivial. % 1.12/1.25 apply (zenon_L967_); trivial. % 1.12/1.25 (* end of lemma zenon_L968_ *) % 1.12/1.25 assert (zenon_L969_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H285 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H157 zenon_Hee zenon_Hed zenon_Hf9 zenon_H12 zenon_H30c zenon_H8d zenon_H30d zenon_H318. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H197 | zenon_intro zenon_H286 ]. % 1.12/1.25 apply (zenon_L352_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H187 ]. % 1.12/1.25 apply (zenon_L66_); trivial. % 1.12/1.25 apply (zenon_L953_); trivial. % 1.12/1.25 (* end of lemma zenon_L969_ *) % 1.12/1.25 assert (zenon_L970_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H256 zenon_H8d zenon_Hf9 zenon_Hed zenon_Hee zenon_H1be zenon_H1c0 zenon_H1bf zenon_H285 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.25 apply (zenon_L64_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.25 apply (zenon_L969_); trivial. % 1.12/1.25 apply (zenon_L941_); trivial. % 1.12/1.25 (* end of lemma zenon_L970_ *) % 1.12/1.25 assert (zenon_L971_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> False). % 1.12/1.25 do 0 intro. intros zenon_H112 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H318 zenon_H30d zenon_H30c zenon_H285 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H256 zenon_Ha0. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.25 apply (zenon_L131_); trivial. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.25 apply (zenon_L970_); trivial. % 1.12/1.25 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.25 (* end of lemma zenon_L971_ *) % 1.12/1.25 assert (zenon_L972_ : ((~(hskp6))\/((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp15)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (c1_1 (a898)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> False). % 1.12/1.25 do 0 intro. intros zenon_H325 zenon_H2be zenon_Hda zenon_H213 zenon_H1d1 zenon_Hd9 zenon_H219 zenon_H2bf zenon_H8b zenon_H1df zenon_H20d zenon_H76 zenon_H209 zenon_H1d0 zenon_H20f zenon_H256 zenon_H285 zenon_H115 zenon_H195 zenon_H14b zenon_H1e3 zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H152 zenon_H37 zenon_H27 zenon_Hbc zenon_Hbe zenon_H318 zenon_H2a8 zenon_H196 zenon_H2c zenon_H2b6. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.25 apply (zenon_L949_); trivial. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.25 apply (zenon_L948_); trivial. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.25 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.25 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.25 apply (zenon_L968_); trivial. % 1.12/1.25 apply (zenon_L971_); trivial. % 1.12/1.25 apply (zenon_L280_); trivial. % 1.12/1.25 (* end of lemma zenon_L972_ *) % 1.12/1.25 assert (zenon_L973_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> False). % 1.12/1.25 do 0 intro. intros zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H150 zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H89 zenon_H8b. % 1.12/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.25 apply (zenon_L952_); trivial. % 1.12/1.25 apply (zenon_L285_); trivial. % 1.12/1.25 (* end of lemma zenon_L973_ *) % 1.12/1.25 assert (zenon_L974_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H8b zenon_H89 zenon_Hbe. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L960_); trivial. % 1.12/1.26 apply (zenon_L43_); trivial. % 1.12/1.26 (* end of lemma zenon_L974_ *) % 1.12/1.26 assert (zenon_L975_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H195 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H14b zenon_H1e3 zenon_H37 zenon_Hbe zenon_H8b zenon_H89 zenon_H87 zenon_H12 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_Ha7 zenon_H266 zenon_H265 zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_L973_); trivial. % 1.12/1.26 apply (zenon_L974_); trivial. % 1.12/1.26 (* end of lemma zenon_L975_ *) % 1.12/1.26 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_H196 zenon_H2a8 zenon_Hb zenon_H318 zenon_H30d zenon_H30c zenon_Hf9 zenon_Hed zenon_Hee zenon_H22d. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L200_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 (* end of lemma zenon_L976_ *) % 1.12/1.26 assert (zenon_L977_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H115 zenon_H22d zenon_H16a zenon_H91 zenon_H168 zenon_H152 zenon_H21 zenon_H29 zenon_H123 zenon_H2a8 zenon_H196 zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H8b zenon_Hbe zenon_H37 zenon_H1e3 zenon_H14b zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H195. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L975_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L940_); trivial. % 1.12/1.26 apply (zenon_L590_); trivial. % 1.12/1.26 apply (zenon_L43_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 apply (zenon_L976_); trivial. % 1.12/1.26 (* end of lemma zenon_L977_ *) % 1.12/1.26 assert (zenon_L978_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65)))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H39 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hdd. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.12/1.26 apply (zenon_L103_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 exact (zenon_Hdd zenon_Hde). % 1.12/1.26 (* end of lemma zenon_L978_ *) % 1.12/1.26 assert (zenon_L979_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp21)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c3_1 (a914)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H91 zenon_Hdd zenon_H30c zenon_H30d zenon_H318 zenon_H4d zenon_H4e zenon_H57 zenon_H27e zenon_Hee zenon_Heb zenon_Hed zenon_H12 zenon_H35. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 1.12/1.26 apply (zenon_L978_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 1.12/1.26 apply (zenon_L64_); trivial. % 1.12/1.26 exact (zenon_H35 zenon_H36). % 1.12/1.26 (* end of lemma zenon_L979_ *) % 1.12/1.26 assert (zenon_L980_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c2_1 (a950))) -> (c3_1 (a905)) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c1_1 (a905)) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.12/1.26 do 0 intro. intros zenon_Ha7 zenon_H7b zenon_H7a zenon_H79 zenon_H266 zenon_H78 zenon_H265 zenon_H12 zenon_H87. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 1.12/1.26 apply (zenon_L33_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 1.12/1.26 apply (zenon_L283_); trivial. % 1.12/1.26 exact (zenon_H87 zenon_H88). % 1.12/1.26 (* end of lemma zenon_L980_ *) % 1.12/1.26 assert (zenon_L981_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (c1_1 (a898)) -> (~(hskp21)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H166 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H150 zenon_H152 zenon_H37 zenon_Hee zenon_Hed zenon_H4d zenon_H4e zenon_H57 zenon_H318 zenon_Hdd zenon_H27e zenon_H266 zenon_H265 zenon_H16b zenon_Hbe. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L940_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.12/1.26 apply (zenon_L979_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.12/1.26 apply (zenon_L289_); trivial. % 1.12/1.26 apply (zenon_L980_); trivial. % 1.12/1.26 apply (zenon_L43_); trivial. % 1.12/1.26 (* end of lemma zenon_L981_ *) % 1.12/1.26 assert (zenon_L982_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a914))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a914)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H157 zenon_H12 zenon_Hf9 zenon_H15 zenon_Hee. % 1.12/1.26 generalize (zenon_H157 (a914)). zenon_intro zenon_H2bc. % 1.12/1.26 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2bd ]. % 1.12/1.26 exact (zenon_H11 zenon_H12). % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hf7 ]. % 1.12/1.26 exact (zenon_Hf9 zenon_Hfc). % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf3 ]. % 1.12/1.26 generalize (zenon_H15 (a914)). zenon_intro zenon_H326. % 1.12/1.26 apply (zenon_imply_s _ _ zenon_H326); [ zenon_intro zenon_H11 | zenon_intro zenon_H327 ]. % 1.12/1.26 exact (zenon_H11 zenon_H12). % 1.12/1.26 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H328 ]. % 1.12/1.26 exact (zenon_Hec zenon_Hf2). % 1.12/1.26 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hf3 ]. % 1.12/1.26 exact (zenon_Hf9 zenon_Hfc). % 1.12/1.26 exact (zenon_Hf3 zenon_Hee). % 1.12/1.26 exact (zenon_Hf3 zenon_Hee). % 1.12/1.26 (* end of lemma zenon_L982_ *) % 1.12/1.26 assert (zenon_L983_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp18)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> (~(c2_1 (a914))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a914)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a914))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H256 zenon_H166 zenon_H103 zenon_H104 zenon_H105 zenon_Hed zenon_H168 zenon_Hee zenon_H15 zenon_Hf9 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L362_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_L982_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 (* end of lemma zenon_L983_ *) % 1.12/1.26 assert (zenon_L984_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H37 zenon_H35 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H18a zenon_H189 zenon_H188 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L945_); trivial. % 1.12/1.26 apply (zenon_L186_); trivial. % 1.12/1.26 (* end of lemma zenon_L984_ *) % 1.12/1.26 assert (zenon_L985_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (c1_1 (a957)) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_Heb zenon_H1b5 zenon_Ha7 zenon_H57 zenon_H4e zenon_H4d zenon_H141 zenon_H140 zenon_H13f zenon_H12 zenon_H87. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.12/1.26 apply (zenon_L40_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.12/1.26 apply (zenon_L170_); trivial. % 1.12/1.26 apply (zenon_L208_); trivial. % 1.12/1.26 (* end of lemma zenon_L985_ *) % 1.12/1.26 assert (zenon_L986_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp1)) -> (c1_1 (a957)) -> (c2_1 (a957)) -> (c3_1 (a957)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H20d zenon_H87 zenon_H13f zenon_H140 zenon_H141 zenon_H4d zenon_H4e zenon_H57 zenon_Ha7 zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H318 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H20b. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 1.12/1.26 apply (zenon_L985_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 1.12/1.26 apply (zenon_L953_); trivial. % 1.12/1.26 exact (zenon_H20b zenon_H20c). % 1.12/1.26 (* end of lemma zenon_L986_ *) % 1.12/1.26 assert (zenon_L987_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(c1_1 (a907))) -> (~(hskp8)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c1_1 (a939)) -> (~(c3_1 (a939))) -> (~(c0_1 (a939))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H148 zenon_H1d0 zenon_H1b6 zenon_H20b zenon_H30c zenon_H30d zenon_H318 zenon_H209 zenon_H99 zenon_H98 zenon_H97 zenon_H1b7 zenon_H1b5 zenon_Ha7 zenon_H57 zenon_H4e zenon_H4d zenon_H87 zenon_H20d zenon_Ha0. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L986_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 (* end of lemma zenon_L987_ *) % 1.12/1.26 assert (zenon_L988_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H20b zenon_H20d zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hbe. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L984_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.26 apply (zenon_L943_); trivial. % 1.12/1.26 apply (zenon_L987_); trivial. % 1.12/1.26 (* end of lemma zenon_L988_ *) % 1.12/1.26 assert (zenon_L989_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H195 zenon_Hc4 zenon_H209 zenon_H4d zenon_H4e zenon_H57 zenon_H20b zenon_H20d zenon_H14b zenon_H1e3 zenon_H37 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hbe zenon_H8b zenon_H89 zenon_H87 zenon_H12 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_Ha7 zenon_H266 zenon_H265 zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_L973_); trivial. % 1.12/1.26 apply (zenon_L988_); trivial. % 1.12/1.26 (* end of lemma zenon_L989_ *) % 1.12/1.26 assert (zenon_L990_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (c3_1 (a953)) -> (~(c2_1 (a953))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H20d zenon_H11c zenon_H11a zenon_H318 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H20b. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Heb | zenon_intro zenon_H20e ]. % 1.12/1.26 apply (zenon_L110_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H187 | zenon_intro zenon_H20c ]. % 1.12/1.26 apply (zenon_L953_); trivial. % 1.12/1.26 exact (zenon_H20b zenon_H20c). % 1.12/1.26 (* end of lemma zenon_L990_ *) % 1.12/1.26 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp8)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H131 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H20b zenon_H30c zenon_H30d zenon_H318 zenon_H20d zenon_Ha0. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L990_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 (* end of lemma zenon_L991_ *) % 1.12/1.26 assert (zenon_L992_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_H134 zenon_H30c zenon_H30d zenon_H318 zenon_H20b zenon_H20d zenon_H7 zenon_H1 zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hfd zenon_H102. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.12/1.26 apply (zenon_L4_); trivial. % 1.12/1.26 apply (zenon_L202_); trivial. % 1.12/1.26 apply (zenon_L991_); trivial. % 1.12/1.26 (* end of lemma zenon_L992_ *) % 1.12/1.26 assert (zenon_L993_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H117 zenon_H115 zenon_H134 zenon_H7 zenon_H1 zenon_Hfd zenon_H102 zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H87 zenon_H8b zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H37 zenon_H1e3 zenon_H14b zenon_H20d zenon_H20b zenon_H209 zenon_Hc4 zenon_H195. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L989_); trivial. % 1.12/1.26 apply (zenon_L992_); trivial. % 1.12/1.26 (* end of lemma zenon_L993_ *) % 1.12/1.26 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd6 zenon_H256 zenon_H25a zenon_H259 zenon_H258 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L276_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_L180_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 (* end of lemma zenon_L994_ *) % 1.12/1.26 assert (zenon_L995_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd9 zenon_H256 zenon_H318 zenon_H30d zenon_H30c zenon_H21f zenon_Hd zenon_H25a zenon_H259 zenon_H258 zenon_H12 zenon_H22b zenon_H22f. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.26 apply (zenon_L321_); trivial. % 1.12/1.26 apply (zenon_L994_); trivial. % 1.12/1.26 (* end of lemma zenon_L995_ *) % 1.12/1.26 assert (zenon_L996_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a937)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H221 zenon_H12 zenon_H1fc zenon_H4c zenon_H1fd. % 1.12/1.26 generalize (zenon_H221 (a937)). zenon_intro zenon_H329. % 1.12/1.26 apply (zenon_imply_s _ _ zenon_H329); [ zenon_intro zenon_H11 | zenon_intro zenon_H32a ]. % 1.12/1.26 exact (zenon_H11 zenon_H12). % 1.12/1.26 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H203 | zenon_intro zenon_H207 ]. % 1.12/1.26 exact (zenon_H1fc zenon_H203). % 1.12/1.26 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fb | zenon_intro zenon_H202 ]. % 1.12/1.26 apply (zenon_L171_); trivial. % 1.12/1.26 exact (zenon_H202 zenon_H1fd). % 1.12/1.26 (* end of lemma zenon_L996_ *) % 1.12/1.26 assert (zenon_L997_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (c2_1 (a937)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a937))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H22b zenon_H25a zenon_H259 zenon_H258 zenon_H1fd zenon_H4c zenon_H1fc zenon_H12 zenon_H62. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 1.12/1.26 apply (zenon_L276_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 1.12/1.26 apply (zenon_L996_); trivial. % 1.12/1.26 exact (zenon_H62 zenon_H63). % 1.12/1.26 (* end of lemma zenon_L997_ *) % 1.12/1.26 assert (zenon_L998_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(hskp14)) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H27e zenon_H62 zenon_H1fc zenon_H1fd zenon_H258 zenon_H259 zenon_H25a zenon_H22b zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hdd. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.12/1.26 apply (zenon_L997_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 exact (zenon_Hdd zenon_Hde). % 1.12/1.26 (* end of lemma zenon_L998_ *) % 1.12/1.26 assert (zenon_L999_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c1_1 (a957)) -> (c3_1 (a957)) -> (c2_1 (a957)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H76 zenon_H13f zenon_H141 zenon_H140 zenon_H1e5 zenon_H105 zenon_H104 zenon_H103 zenon_H12 zenon_H62. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.26 apply (zenon_L257_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.26 apply (zenon_L71_); trivial. % 1.12/1.26 exact (zenon_H62 zenon_H63). % 1.12/1.26 (* end of lemma zenon_L999_ *) % 1.12/1.26 assert (zenon_L1000_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp14)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H148 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1fc zenon_H1fd zenon_H258 zenon_H259 zenon_H25a zenon_H22b zenon_H76 zenon_H105 zenon_H104 zenon_H103 zenon_H62. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.12/1.26 apply (zenon_L129_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.12/1.26 apply (zenon_L997_); trivial. % 1.12/1.26 apply (zenon_L999_); trivial. % 1.12/1.26 (* end of lemma zenon_L1000_ *) % 1.12/1.26 assert (zenon_L1001_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c2_1 (a928))) -> (~(c3_1 (a928))) -> (c1_1 (a928)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H210 zenon_H111 zenon_H14b zenon_H2e0 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H188 zenon_H189 zenon_H18a zenon_H1e3 zenon_H22b zenon_H62 zenon_H25a zenon_H259 zenon_H258 zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L998_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.26 apply (zenon_L943_); trivial. % 1.12/1.26 apply (zenon_L1000_); trivial. % 1.12/1.26 (* end of lemma zenon_L1001_ *) % 1.12/1.26 assert (zenon_L1002_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_H20f zenon_H111 zenon_H14b zenon_H2e0 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1e3 zenon_H22b zenon_H62 zenon_H25a zenon_H259 zenon_H258 zenon_H27e zenon_H30c zenon_H30d zenon_H318 zenon_H87 zenon_H1df. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.12/1.26 apply (zenon_L958_); trivial. % 1.12/1.26 apply (zenon_L1001_); trivial. % 1.12/1.26 (* end of lemma zenon_L1002_ *) % 1.12/1.26 assert (zenon_L1003_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd9 zenon_H256 zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H89 zenon_H8b zenon_H1df zenon_H27e zenon_H258 zenon_H259 zenon_H25a zenon_H22b zenon_H1e3 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H76 zenon_H2e0 zenon_H14b zenon_H111 zenon_H20f zenon_H195. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_L973_); trivial. % 1.12/1.26 apply (zenon_L1002_); trivial. % 1.12/1.26 apply (zenon_L994_); trivial. % 1.12/1.26 (* end of lemma zenon_L1003_ *) % 1.12/1.26 assert (zenon_L1004_ : ((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp14)) -> (~(c3_1 (a937))) -> (c2_1 (a937)) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H131 zenon_H16b zenon_H62 zenon_H1fc zenon_H1fd zenon_H258 zenon_H259 zenon_H25a zenon_H22b. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H12. zenon_intro zenon_H132. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H11b. zenon_intro zenon_H133. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H11c. zenon_intro zenon_H11a. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.12/1.26 apply (zenon_L276_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.12/1.26 apply (zenon_L997_); trivial. % 1.12/1.26 apply (zenon_L78_); trivial. % 1.12/1.26 (* end of lemma zenon_L1004_ *) % 1.12/1.26 assert (zenon_L1005_ : ((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H210 zenon_H111 zenon_H134 zenon_H16b zenon_H7 zenon_H1 zenon_H168 zenon_H166 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_H102 zenon_H22b zenon_H62 zenon_H25a zenon_H259 zenon_H258 zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L998_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.12/1.26 apply (zenon_L364_); trivial. % 1.12/1.26 apply (zenon_L1004_); trivial. % 1.12/1.26 (* end of lemma zenon_L1005_ *) % 1.12/1.26 assert (zenon_L1006_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H20f zenon_H111 zenon_H134 zenon_H16b zenon_H7 zenon_H1 zenon_H168 zenon_H166 zenon_Hee zenon_Hed zenon_Hf9 zenon_Hfd zenon_H102 zenon_H22b zenon_H62 zenon_H25a zenon_H259 zenon_H258 zenon_H27e zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_H87 zenon_H1df. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.12/1.26 apply (zenon_L958_); trivial. % 1.12/1.26 apply (zenon_L1005_); trivial. % 1.12/1.26 (* end of lemma zenon_L1006_ *) % 1.12/1.26 assert (zenon_L1007_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H256 zenon_Hee zenon_Hed zenon_H8d zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L64_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_L180_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 (* end of lemma zenon_L1007_ *) % 1.12/1.26 assert (zenon_L1008_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd6 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H318 zenon_H30d zenon_H30c zenon_Hed zenon_Hee zenon_H256 zenon_Ha0. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L1007_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 (* end of lemma zenon_L1008_ *) % 1.12/1.26 assert (zenon_L1009_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((hskp12)\/(hskp13))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H2b3 zenon_H2be zenon_H29e zenon_H16b zenon_H168 zenon_H21b zenon_H196 zenon_H20f zenon_H111 zenon_H2e0 zenon_H76 zenon_H27e zenon_H1df zenon_H22f zenon_H22b zenon_H21f zenon_H256 zenon_Hd9 zenon_H116 zenon_H115 zenon_H134 zenon_H7 zenon_H1 zenon_Hfd zenon_H102 zenon_Hc0 zenon_Ha7 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H87 zenon_H8b zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H37 zenon_H1e3 zenon_H14b zenon_H20d zenon_H209 zenon_Hc4 zenon_H195 zenon_H264 zenon_H265 zenon_H266 zenon_H25 zenon_H12f zenon_H29f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.26 apply (zenon_L282_); trivial. % 1.12/1.26 apply (zenon_L993_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L81_); trivial. % 1.12/1.26 apply (zenon_L992_); trivial. % 1.12/1.26 apply (zenon_L993_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.26 apply (zenon_L995_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L1003_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L1006_); trivial. % 1.12/1.26 apply (zenon_L191_); trivial. % 1.12/1.26 apply (zenon_L1008_); trivial. % 1.12/1.26 (* end of lemma zenon_L1009_ *) % 1.12/1.26 assert (zenon_L1010_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a906))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H2a8 zenon_H1bf zenon_H1c0 zenon_H15 zenon_H1be zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hb. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.12/1.26 apply (zenon_L327_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 exact (zenon_Hb zenon_Hc). % 1.12/1.26 (* end of lemma zenon_L1010_ *) % 1.12/1.26 assert (zenon_L1011_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp8)) -> (~(hskp7)) -> (ndr1_0) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp3)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H21b zenon_H30c zenon_H30d zenon_H318 zenon_H2a8 zenon_H20b zenon_Hb zenon_H12 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H2f0 zenon_H1. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.12/1.26 apply (zenon_L1010_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.12/1.26 apply (zenon_L568_); trivial. % 1.12/1.26 exact (zenon_H1 zenon_H2). % 1.12/1.26 (* end of lemma zenon_L1011_ *) % 1.12/1.26 assert (zenon_L1012_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp1)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H196 zenon_H2a8 zenon_Hb zenon_H1df zenon_H87 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H27e zenon_H258 zenon_H259 zenon_H25a zenon_H62 zenon_H22b zenon_H102 zenon_Hfd zenon_Hf9 zenon_Hed zenon_Hee zenon_H168 zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H111 zenon_H20f. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L1006_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 (* end of lemma zenon_L1012_ *) % 1.12/1.26 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp7)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd6 zenon_H1d0 zenon_Hb zenon_H1be zenon_H1c0 zenon_H1bf zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_Hed zenon_Hee zenon_H256 zenon_Ha0. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L1010_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L1007_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 (* end of lemma zenon_L1013_ *) % 1.12/1.26 assert (zenon_L1014_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H1d0 zenon_Ha0 zenon_H256 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H20f zenon_H111 zenon_H134 zenon_H16b zenon_H7 zenon_H1 zenon_H168 zenon_Hfd zenon_H102 zenon_H22b zenon_H25a zenon_H259 zenon_H258 zenon_H27e zenon_H30c zenon_H30d zenon_H318 zenon_H87 zenon_H1df zenon_Hb zenon_H2a8 zenon_H196. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.26 apply (zenon_L1012_); trivial. % 1.12/1.26 apply (zenon_L1013_); trivial. % 1.12/1.26 (* end of lemma zenon_L1014_ *) % 1.12/1.26 assert (zenon_L1015_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H21b zenon_H1 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H20d zenon_H20b zenon_H57 zenon_H4e zenon_H4d zenon_H209 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Ha0 zenon_H1d0 zenon_Hbe. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L984_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.26 apply (zenon_L943_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L327_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L986_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 exact (zenon_H1 zenon_H2). % 1.12/1.26 (* end of lemma zenon_L1015_ *) % 1.12/1.26 assert (zenon_L1016_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp3)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_H21b zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Ha0 zenon_H256 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H285 zenon_H30c zenon_H30d zenon_H318 zenon_H1d0 zenon_H1. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H15 | zenon_intro zenon_H21c ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L327_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_L970_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 exact (zenon_H1 zenon_H2). % 1.12/1.26 (* end of lemma zenon_L1016_ *) % 1.12/1.26 assert (zenon_L1017_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H75 zenon_H139 zenon_H137 zenon_H12 zenon_H126 zenon_H127 zenon_H128 zenon_H8b zenon_H89 zenon_H87 zenon_H30d zenon_H318 zenon_H30c zenon_H14c. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H125 | zenon_intro zenon_H14d ]. % 1.12/1.26 apply (zenon_L80_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5d ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H78 | zenon_intro zenon_H8c ]. % 1.12/1.26 apply (zenon_L950_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 1.12/1.26 exact (zenon_H87 zenon_H88). % 1.12/1.26 exact (zenon_H89 zenon_H8a). % 1.12/1.26 exact (zenon_H5c zenon_H5d). % 1.12/1.26 apply (zenon_L95_); trivial. % 1.12/1.26 (* end of lemma zenon_L1017_ *) % 1.12/1.26 assert (zenon_L1018_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H256 zenon_H1b7 zenon_H1b5 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H197 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L170_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_L352_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 (* end of lemma zenon_L1018_ *) % 1.12/1.26 assert (zenon_L1019_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H1a6 zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H318 zenon_H30d zenon_H30c zenon_H1be zenon_H1c0 zenon_H1bf zenon_H1b5 zenon_H1b7 zenon_H256. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.12/1.26 apply (zenon_L80_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.12/1.26 apply (zenon_L1018_); trivial. % 1.12/1.26 apply (zenon_L126_); trivial. % 1.12/1.26 (* end of lemma zenon_L1019_ *) % 1.12/1.26 assert (zenon_L1020_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H1a4 zenon_H75 zenon_H139 zenon_H8b zenon_H87 zenon_H30d zenon_H318 zenon_H30c zenon_H14c zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d0 zenon_Ha0 zenon_H285 zenon_H256 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H1 zenon_H21b zenon_H115. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L1017_); trivial. % 1.12/1.26 apply (zenon_L1016_); trivial. % 1.12/1.26 apply (zenon_L1019_); trivial. % 1.12/1.26 (* end of lemma zenon_L1020_ *) % 1.12/1.26 assert (zenon_L1021_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> (~(c0_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a908)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H318 zenon_H30d zenon_H30c zenon_H285 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H258 zenon_H259 zenon_H25a zenon_H256 zenon_Ha0. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.26 apply (zenon_L131_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L276_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_L969_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.26 (* end of lemma zenon_L1021_ *) % 1.12/1.26 assert (zenon_L1022_ : ((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(c0_1 (a905))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp1)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a937))/\((~(c0_1 (a937)))/\(~(c3_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H2f6 zenon_H2b6 zenon_H116 zenon_H285 zenon_Hbe zenon_H37 zenon_H209 zenon_H20d zenon_Hc4 zenon_H264 zenon_H25 zenon_H14c zenon_H139 zenon_H75 zenon_H1a4 zenon_H1c8 zenon_H29f zenon_H21b zenon_H1 zenon_H2f0 zenon_H30c zenon_H30d zenon_H318 zenon_H2a8 zenon_Hd9 zenon_H256 zenon_H21f zenon_H22b zenon_H22f zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H87 zenon_H8b zenon_H1df zenon_H27e zenon_H1e3 zenon_H76 zenon_H2e0 zenon_H14b zenon_H111 zenon_H20f zenon_H195 zenon_H196 zenon_H102 zenon_Hfd zenon_H168 zenon_H7 zenon_H16b zenon_H134 zenon_Ha0 zenon_H1d0 zenon_H115 zenon_H29e zenon_H2be. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.26 apply (zenon_L1011_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.26 apply (zenon_L995_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L1003_); trivial. % 1.12/1.26 apply (zenon_L1014_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.26 apply (zenon_L282_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_L973_); trivial. % 1.12/1.26 apply (zenon_L1015_); trivial. % 1.12/1.26 apply (zenon_L1016_); trivial. % 1.12/1.26 apply (zenon_L1020_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.26 apply (zenon_L995_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_L1003_); trivial. % 1.12/1.26 apply (zenon_L1021_); trivial. % 1.12/1.26 (* end of lemma zenon_L1022_ *) % 1.12/1.26 assert (zenon_L1023_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hdd. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.12/1.26 apply (zenon_L338_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 exact (zenon_Hdd zenon_Hde). % 1.12/1.26 (* end of lemma zenon_L1023_ *) % 1.12/1.26 assert (zenon_L1024_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp13)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp13)\/(hskp2))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_H111 zenon_H14b zenon_H76 zenon_H62 zenon_H89 zenon_H236 zenon_H251 zenon_H1e3 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.26 apply (zenon_L943_); trivial. % 1.12/1.26 apply (zenon_L258_); trivial. % 1.12/1.26 (* end of lemma zenon_L1024_ *) % 1.12/1.26 assert (zenon_L1025_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H111 zenon_H168 zenon_H166 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_L181_); trivial. % 1.12/1.26 (* end of lemma zenon_L1025_ *) % 1.12/1.26 assert (zenon_L1026_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H2a8 zenon_Hb zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H168 zenon_H111. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L1025_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 (* end of lemma zenon_L1026_ *) % 1.12/1.26 assert (zenon_L1027_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(hskp5)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp18)) -> False). % 1.12/1.26 do 0 intro. intros zenon_H22d zenon_Hee zenon_Hed zenon_Hf9 zenon_H27 zenon_H87 zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_Hbc zenon_H166. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H22e ]. % 1.12/1.26 apply (zenon_L66_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H187 | zenon_intro zenon_H167 ]. % 1.12/1.26 apply (zenon_L954_); trivial. % 1.12/1.26 exact (zenon_H166 zenon_H167). % 1.12/1.26 (* end of lemma zenon_L1027_ *) % 1.12/1.26 assert (zenon_L1028_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_H196 zenon_H2a8 zenon_Hb zenon_Hbc zenon_H27 zenon_H87 zenon_H318 zenon_H30d zenon_H30c zenon_H22d. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L1027_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 (* end of lemma zenon_L1028_ *) % 1.12/1.26 assert (zenon_L1029_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H25a zenon_H259 zenon_H258 zenon_H37 zenon_H35 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H18a zenon_H189 zenon_H188 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L945_); trivial. % 1.12/1.26 apply (zenon_L664_); trivial. % 1.12/1.26 (* end of lemma zenon_L1029_ *) % 1.12/1.26 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c3_1 (a908)) -> (~(c2_1 (a908))) -> (~(c0_1 (a908))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_H196 zenon_H2a8 zenon_Hb zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hbe zenon_H16b zenon_H91 zenon_H25a zenon_H259 zenon_H258 zenon_H37 zenon_H1e3 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0 zenon_H168 zenon_H1bf zenon_H1c0 zenon_H1be zenon_H209 zenon_Hc4 zenon_H111. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L1029_); trivial. % 1.12/1.26 apply (zenon_L354_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 (* end of lemma zenon_L1030_ *) % 1.12/1.26 assert (zenon_L1031_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_H8b zenon_H89 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H35 zenon_H152 zenon_H150 zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H166 zenon_H168 zenon_H91 zenon_H16a zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L940_); trivial. % 1.12/1.26 apply (zenon_L351_); trivial. % 1.12/1.26 (* end of lemma zenon_L1031_ *) % 1.12/1.26 assert (zenon_L1032_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c1_1 (a928)) -> (~(c3_1 (a928))) -> (~(c2_1 (a928))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H8b zenon_H89 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H71 zenon_H37 zenon_H35 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H18a zenon_H189 zenon_H188 zenon_H87 zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L945_); trivial. % 1.12/1.26 apply (zenon_L351_); trivial. % 1.12/1.26 (* end of lemma zenon_L1032_ *) % 1.12/1.26 assert (zenon_L1033_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.26 do 0 intro. intros zenon_Ha4 zenon_H256 zenon_H1b5 zenon_H1b7 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1be zenon_H1c0 zenon_H1bf zenon_H209 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.26 apply (zenon_L358_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H96 | zenon_intro zenon_H20a ]. % 1.12/1.26 apply (zenon_L40_); trivial. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H197 | zenon_intro zenon_H4c ]. % 1.12/1.26 apply (zenon_L352_); trivial. % 1.12/1.26 apply (zenon_L338_); trivial. % 1.12/1.26 apply (zenon_L941_); trivial. % 1.12/1.26 (* end of lemma zenon_L1033_ *) % 1.12/1.26 assert (zenon_L1034_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H256 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H209 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H89 zenon_H8b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_Hbe. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L1032_); trivial. % 1.12/1.26 apply (zenon_L1033_); trivial. % 1.12/1.26 (* end of lemma zenon_L1034_ *) % 1.12/1.26 assert (zenon_L1035_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> (~(c2_1 (a938))) -> (~(c3_1 (a938))) -> (c0_1 (a938)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hf9 zenon_Hed zenon_Hee zenon_H103 zenon_H104 zenon_H105 zenon_H37 zenon_H35 zenon_H152 zenon_H150 zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H166 zenon_H168 zenon_H91 zenon_H16a zenon_Hc0. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.26 apply (zenon_L940_); trivial. % 1.12/1.26 apply (zenon_L517_); trivial. % 1.12/1.26 (* end of lemma zenon_L1035_ *) % 1.12/1.26 assert (zenon_L1036_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H111 zenon_Hc4 zenon_H209 zenon_H1be zenon_H1c0 zenon_H1bf zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H166 zenon_H87 zenon_Ha7 zenon_H150 zenon_H152 zenon_H37 zenon_Hee zenon_Hed zenon_Hf9 zenon_H16b zenon_Hbe zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L1035_); trivial. % 1.12/1.26 apply (zenon_L354_); trivial. % 1.12/1.26 (* end of lemma zenon_L1036_ *) % 1.12/1.26 assert (zenon_L1037_ : ((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H2f6 zenon_H2b6 zenon_H115 zenon_H22d zenon_H8b zenon_H71 zenon_H21b zenon_H1 zenon_H2f0 zenon_H30c zenon_H30d zenon_H318 zenon_H2a8 zenon_Hd9 zenon_H256 zenon_H21f zenon_H22b zenon_H22f zenon_H196 zenon_H27e zenon_H2ac zenon_H2ab zenon_H2aa zenon_H16a zenon_H2e0 zenon_H152 zenon_H168 zenon_H209 zenon_Hc4 zenon_H111 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H1e3 zenon_H37 zenon_H91 zenon_H16b zenon_Hbe zenon_H195 zenon_H29e zenon_H2be. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.26 apply (zenon_L1011_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.26 apply (zenon_L995_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_L857_); trivial. % 1.12/1.26 apply (zenon_L942_); trivial. % 1.12/1.26 apply (zenon_L1030_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.26 apply (zenon_L1023_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.26 apply (zenon_L1031_); trivial. % 1.12/1.26 apply (zenon_L354_); trivial. % 1.12/1.26 apply (zenon_L191_); trivial. % 1.12/1.26 apply (zenon_L1034_); trivial. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.26 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.26 apply (zenon_L1036_); trivial. % 1.12/1.26 apply (zenon_L191_); trivial. % 1.12/1.26 apply (zenon_L201_); trivial. % 1.12/1.26 (* end of lemma zenon_L1037_ *) % 1.12/1.26 assert (zenon_L1038_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.26 do 0 intro. intros zenon_H112 zenon_H196 zenon_H2a8 zenon_Hb zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H102 zenon_Hfd zenon_H168 zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H111. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1023_); trivial. % 1.12/1.27 apply (zenon_L366_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 (* end of lemma zenon_L1038_ *) % 1.12/1.27 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c0_1 (a939))) -> (~(c3_1 (a939))) -> (c1_1 (a939)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(hskp1)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc1 zenon_H16b zenon_H1b5 zenon_H1b7 zenon_H97 zenon_H98 zenon_H99 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha7 zenon_H266 zenon_H265 zenon_H87. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.12/1.27 apply (zenon_L358_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.12/1.27 apply (zenon_L338_); trivial. % 1.12/1.27 apply (zenon_L284_); trivial. % 1.12/1.27 (* end of lemma zenon_L1039_ *) % 1.12/1.27 assert (zenon_L1040_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (~(hskp17)) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Ha4 zenon_Hc0 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b7 zenon_H1b5 zenon_H2bf zenon_H150 zenon_H30d zenon_H318 zenon_H30c zenon_H16b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.12/1.27 apply (zenon_L358_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.12/1.27 apply (zenon_L338_); trivial. % 1.12/1.27 apply (zenon_L951_); trivial. % 1.12/1.27 apply (zenon_L1039_); trivial. % 1.12/1.27 (* end of lemma zenon_L1040_ *) % 1.12/1.27 assert (zenon_L1041_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H192 zenon_Hc4 zenon_H20d zenon_H20b zenon_H209 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H37 zenon_H71 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H89 zenon_H8b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H91 zenon_H16b zenon_Hbe. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1032_); trivial. % 1.12/1.27 apply (zenon_L359_); trivial. % 1.12/1.27 (* end of lemma zenon_L1041_ *) % 1.12/1.27 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (~(c1_1 (a914))) -> (~(c2_1 (a914))) -> (c3_1 (a914)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Ha4 zenon_H134 zenon_H16b zenon_H7 zenon_H1 zenon_H209 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b7 zenon_H1b5 zenon_Hf9 zenon_Hed zenon_Hee zenon_Hfd zenon_H102. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H3 | zenon_intro zenon_H131 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.12/1.27 apply (zenon_L4_); trivial. % 1.12/1.27 apply (zenon_L519_); trivial. % 1.12/1.27 apply (zenon_L510_); trivial. % 1.12/1.27 (* end of lemma zenon_L1042_ *) % 1.12/1.27 assert (zenon_L1043_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_H134 zenon_H7 zenon_H1 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_H102 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H166 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H150 zenon_H152 zenon_H37 zenon_Hee zenon_Hed zenon_Hf9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_Hbe. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1035_); trivial. % 1.12/1.27 apply (zenon_L1042_); trivial. % 1.12/1.27 (* end of lemma zenon_L1043_ *) % 1.12/1.27 assert (zenon_L1044_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (~(c1_1 (a907))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H112 zenon_H195 zenon_H22d zenon_H111 zenon_Hc4 zenon_H134 zenon_H7 zenon_H1 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_Hfd zenon_H102 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H87 zenon_Ha7 zenon_H152 zenon_H37 zenon_H16b zenon_Hbe zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e zenon_H1b6 zenon_H21b zenon_H196. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1023_); trivial. % 1.12/1.27 apply (zenon_L1043_); trivial. % 1.12/1.27 apply (zenon_L191_); trivial. % 1.12/1.27 apply (zenon_L201_); trivial. % 1.12/1.27 (* end of lemma zenon_L1044_ *) % 1.12/1.27 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (~(hskp14)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H148 zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H105 zenon_H104 zenon_H103 zenon_H62. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H12. zenon_intro zenon_H149. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13f. zenon_intro zenon_H14a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H140. zenon_intro zenon_H141. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.12/1.27 apply (zenon_L129_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L338_); trivial. % 1.12/1.27 apply (zenon_L999_); trivial. % 1.12/1.27 (* end of lemma zenon_L1045_ *) % 1.12/1.27 assert (zenon_L1046_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H192 zenon_H111 zenon_H14b zenon_H2e0 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H1e3 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1023_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.27 apply (zenon_L943_); trivial. % 1.12/1.27 apply (zenon_L1045_); trivial. % 1.12/1.27 (* end of lemma zenon_L1046_ *) % 1.12/1.27 assert (zenon_L1047_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a907))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H256 zenon_H1b7 zenon_H1b6 zenon_H43 zenon_H1b5 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H12 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.27 apply (zenon_L162_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.27 apply (zenon_L180_); trivial. % 1.12/1.27 apply (zenon_L941_); trivial. % 1.12/1.27 (* end of lemma zenon_L1047_ *) % 1.12/1.27 assert (zenon_L1048_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp22)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc1 zenon_H71 zenon_H318 zenon_H30d zenon_H30c zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H256 zenon_H35. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H39 | zenon_intro zenon_H74 ]. % 1.12/1.27 apply (zenon_L21_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H43 | zenon_intro zenon_H36 ]. % 1.12/1.27 apply (zenon_L1047_); trivial. % 1.12/1.27 exact (zenon_H35 zenon_H36). % 1.12/1.27 (* end of lemma zenon_L1048_ *) % 1.12/1.27 assert (zenon_L1049_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc0 zenon_H71 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_H31 zenon_H35 zenon_H37. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.27 apply (zenon_L20_); trivial. % 1.12/1.27 apply (zenon_L1048_); trivial. % 1.12/1.27 (* end of lemma zenon_L1049_ *) % 1.12/1.27 assert (zenon_L1050_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a938)) -> (~(c3_1 (a938))) -> (~(c2_1 (a938))) -> (c2_1 (a929)) -> (c0_1 (a929)) -> (~(c1_1 (a929))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hbe zenon_H16b zenon_H91 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H182 zenon_H105 zenon_H104 zenon_H103 zenon_H17b zenon_H17a zenon_H179 zenon_H37 zenon_H35 zenon_H256 zenon_H318 zenon_H30d zenon_H30c zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H71 zenon_Hc0. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.27 apply (zenon_L1049_); trivial. % 1.12/1.27 apply (zenon_L507_); trivial. % 1.12/1.27 (* end of lemma zenon_L1050_ *) % 1.12/1.27 assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Ha4 zenon_H256 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b5 zenon_H1b7 zenon_H209 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H30c zenon_H30d zenon_H318. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.27 apply (zenon_L358_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.27 apply (zenon_L180_); trivial. % 1.12/1.27 apply (zenon_L941_); trivial. % 1.12/1.27 (* end of lemma zenon_L1051_ *) % 1.12/1.27 assert (zenon_L1052_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_Hc4 zenon_H209 zenon_Hc0 zenon_H71 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H256 zenon_H37 zenon_H182 zenon_H91 zenon_H16b zenon_Hbe zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H168 zenon_H111. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_L1025_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1023_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1050_); trivial. % 1.12/1.27 apply (zenon_L1051_); trivial. % 1.12/1.27 (* end of lemma zenon_L1052_ *) % 1.12/1.27 assert (zenon_L1053_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> (~(c1_1 (a907))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1cb zenon_Hd9 zenon_H196 zenon_H71 zenon_H1b6 zenon_H256 zenon_H37 zenon_H182 zenon_H91 zenon_Hbe zenon_H168 zenon_Hc4 zenon_Hc0 zenon_H265 zenon_H266 zenon_H87 zenon_Ha7 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H16b zenon_H152 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a zenon_H27e zenon_H1e3 zenon_H76 zenon_H14b zenon_H111 zenon_H195. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L839_); trivial. % 1.12/1.27 apply (zenon_L1040_); trivial. % 1.12/1.27 apply (zenon_L1046_); trivial. % 1.12/1.27 apply (zenon_L1052_); trivial. % 1.12/1.27 (* end of lemma zenon_L1053_ *) % 1.12/1.27 assert (zenon_L1054_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c1_1 (a898)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H2b3 zenon_H2be zenon_H29e zenon_H182 zenon_H2e0 zenon_H76 zenon_H22f zenon_H22b zenon_H21f zenon_H256 zenon_Hd9 zenon_H195 zenon_H20d zenon_H14b zenon_H1e3 zenon_Hc4 zenon_H265 zenon_H266 zenon_H209 zenon_H2bf zenon_H318 zenon_Hc0 zenon_H16a zenon_H91 zenon_H168 zenon_H30d zenon_H30c zenon_H87 zenon_Ha7 zenon_H152 zenon_H37 zenon_H71 zenon_H8b zenon_H2aa zenon_H2ab zenon_H2ac zenon_H16b zenon_Hbe zenon_H1 zenon_H21b zenon_H196 zenon_H27e zenon_H102 zenon_Hfd zenon_H7 zenon_H134 zenon_H111 zenon_H22d zenon_H115. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1031_); trivial. % 1.12/1.27 apply (zenon_L1040_); trivial. % 1.12/1.27 apply (zenon_L191_); trivial. % 1.12/1.27 apply (zenon_L1041_); trivial. % 1.12/1.27 apply (zenon_L1044_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.27 apply (zenon_L995_); trivial. % 1.12/1.27 apply (zenon_L1053_); trivial. % 1.12/1.27 (* end of lemma zenon_L1054_ *) % 1.12/1.27 assert (zenon_L1055_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp9)) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(c3_1 (a903))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H2a8 zenon_Hd zenon_H2c8 zenon_H2c9 zenon_H2c7 zenon_H2d7 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hb. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.12/1.27 apply (zenon_L428_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.12/1.27 apply (zenon_L941_); trivial. % 1.12/1.27 exact (zenon_Hb zenon_Hc). % 1.12/1.27 (* end of lemma zenon_L1055_ *) % 1.12/1.27 assert (zenon_L1056_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_H2e0 zenon_H91 zenon_H4d zenon_H4e zenon_H57 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_L604_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 (* end of lemma zenon_L1056_ *) % 1.12/1.27 assert (zenon_L1057_ : (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H56 zenon_H12 zenon_H30c zenon_H64 zenon_H30d zenon_H318. % 1.12/1.27 generalize (zenon_H56 (a898)). zenon_intro zenon_H315. % 1.12/1.27 apply (zenon_imply_s _ _ zenon_H315); [ zenon_intro zenon_H11 | zenon_intro zenon_H316 ]. % 1.12/1.27 exact (zenon_H11 zenon_H12). % 1.12/1.27 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H312 | zenon_intro zenon_H317 ]. % 1.12/1.27 exact (zenon_H30c zenon_H312). % 1.12/1.27 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H30e | zenon_intro zenon_H314 ]. % 1.12/1.27 generalize (zenon_H64 (a898)). zenon_intro zenon_H32b. % 1.12/1.27 apply (zenon_imply_s _ _ zenon_H32b); [ zenon_intro zenon_H11 | zenon_intro zenon_H32c ]. % 1.12/1.27 exact (zenon_H11 zenon_H12). % 1.12/1.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H314 | zenon_intro zenon_H321 ]. % 1.12/1.27 exact (zenon_H314 zenon_H30d). % 1.12/1.27 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H31c | zenon_intro zenon_H313 ]. % 1.12/1.27 exact (zenon_H31c zenon_H318). % 1.12/1.27 exact (zenon_H313 zenon_H30e). % 1.12/1.27 exact (zenon_H314 zenon_H30d). % 1.12/1.27 (* end of lemma zenon_L1057_ *) % 1.12/1.27 assert (zenon_L1058_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H168 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H318 zenon_H30d zenon_H64 zenon_H30c zenon_H12 zenon_H166. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 1.12/1.27 apply (zenon_L180_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 1.12/1.27 apply (zenon_L1057_); trivial. % 1.12/1.27 exact (zenon_H166 zenon_H167). % 1.12/1.27 (* end of lemma zenon_L1058_ *) % 1.12/1.27 assert (zenon_L1059_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp11)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H139 zenon_H128 zenon_H127 zenon_H126 zenon_H166 zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H137. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H13a ]. % 1.12/1.27 apply (zenon_L80_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H64 | zenon_intro zenon_H138 ]. % 1.12/1.27 apply (zenon_L1058_); trivial. % 1.12/1.27 exact (zenon_H137 zenon_H138). % 1.12/1.27 (* end of lemma zenon_L1059_ *) % 1.12/1.27 assert (zenon_L1060_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H2a8 zenon_Hb zenon_H126 zenon_H127 zenon_H128 zenon_H168 zenon_H318 zenon_H30d zenon_H30c zenon_H137 zenon_H139. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_L1059_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 (* end of lemma zenon_L1060_ *) % 1.12/1.27 assert (zenon_L1061_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp21)) -> False). % 1.12/1.27 do 0 intro. intros zenon_H23f zenon_H19d zenon_H19c zenon_H19b zenon_Hb zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_H2c8 zenon_H2c9 zenon_H2a8 zenon_Hdd. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.12/1.27 apply (zenon_L126_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H178 | zenon_intro zenon_H2a9 ]. % 1.12/1.27 apply (zenon_L427_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hc ]. % 1.12/1.27 apply (zenon_L941_); trivial. % 1.12/1.27 exact (zenon_Hb zenon_Hc). % 1.12/1.27 exact (zenon_Hdd zenon_Hde). % 1.12/1.27 (* end of lemma zenon_L1061_ *) % 1.12/1.27 assert (zenon_L1062_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H23f zenon_H2c8 zenon_H2c9 zenon_H30c zenon_H30d zenon_H318 zenon_Hb zenon_H2a8 zenon_H19d zenon_H19c zenon_H19b zenon_H168 zenon_H111. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1061_); trivial. % 1.12/1.27 apply (zenon_L181_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 (* end of lemma zenon_L1062_ *) % 1.12/1.27 assert (zenon_L1063_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_H196 zenon_H23f zenon_H30c zenon_H30d zenon_H318 zenon_Hb zenon_H2a8 zenon_H168 zenon_H111 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1062_); trivial. % 1.12/1.27 (* end of lemma zenon_L1063_ *) % 1.12/1.27 assert (zenon_L1064_ : ((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H23f zenon_H111 zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H266 zenon_H265 zenon_H264 zenon_H139 zenon_H30c zenon_H30d zenon_H318 zenon_H168 zenon_Hb zenon_H2a8 zenon_H196 zenon_Hd9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1060_); trivial. % 1.12/1.27 apply (zenon_L1063_); trivial. % 1.12/1.27 (* end of lemma zenon_L1064_ *) % 1.12/1.27 assert (zenon_L1065_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp4)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H29e zenon_H29f zenon_H1c8 zenon_H23f zenon_H111 zenon_H139 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H28f zenon_Hc4 zenon_Ha2 zenon_Ha0 zenon_H168 zenon_H91 zenon_H2e0 zenon_H196 zenon_Hd9 zenon_H116 zenon_H2d7 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_Hb zenon_H2a8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.27 apply (zenon_L1055_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.27 apply (zenon_L282_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1056_); trivial. % 1.12/1.27 apply (zenon_L1064_); trivial. % 1.12/1.27 (* end of lemma zenon_L1065_ *) % 1.12/1.27 assert (zenon_L1066_ : ((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H112 zenon_Hd9 zenon_H1d0 zenon_Ha0 zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1008_); trivial. % 1.12/1.27 (* end of lemma zenon_L1066_ *) % 1.12/1.27 assert (zenon_L1067_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H1a4 zenon_H128 zenon_H127 zenon_H126 zenon_H318 zenon_H30d zenon_H30c zenon_H1b5 zenon_H1b7 zenon_H256 zenon_H19b zenon_H19c zenon_H19d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.12/1.27 apply (zenon_L80_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_Heb | zenon_intro zenon_H257 ]. % 1.12/1.27 apply (zenon_L170_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d9 ]. % 1.12/1.27 apply (zenon_L180_); trivial. % 1.12/1.27 apply (zenon_L941_); trivial. % 1.12/1.27 apply (zenon_L126_); trivial. % 1.12/1.27 (* end of lemma zenon_L1067_ *) % 1.12/1.27 assert (zenon_L1068_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))))) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1a6 zenon_Hd9 zenon_H1a4 zenon_H1b5 zenon_H1b7 zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_H128 zenon_H127 zenon_H126 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1067_); trivial. % 1.12/1.27 (* end of lemma zenon_L1068_ *) % 1.12/1.27 assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H261 zenon_Hd9 zenon_H256 zenon_H318 zenon_H30d zenon_H30c zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L994_); trivial. % 1.12/1.27 (* end of lemma zenon_L1069_ *) % 1.12/1.27 assert (zenon_L1070_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1cb zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hb zenon_H27e zenon_H168 zenon_H111 zenon_H1e3 zenon_H30c zenon_H30d zenon_H318 zenon_H87 zenon_H27 zenon_Hbc zenon_H2aa zenon_H2ab zenon_H2ac zenon_H28f zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H2e0 zenon_H14b. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.27 apply (zenon_L955_); trivial. % 1.12/1.27 apply (zenon_L646_); trivial. % 1.12/1.27 apply (zenon_L1026_); trivial. % 1.12/1.27 (* end of lemma zenon_L1070_ *) % 1.12/1.27 assert (zenon_L1071_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H29e zenon_Hd9 zenon_H196 zenon_H27e zenon_H168 zenon_H111 zenon_H1e3 zenon_H87 zenon_H27 zenon_Hbc zenon_H2aa zenon_H2ab zenon_H2ac zenon_H28f zenon_H2e0 zenon_H14b zenon_H2d7 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H12 zenon_H30c zenon_H30d zenon_H318 zenon_Hb zenon_H2a8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.27 apply (zenon_L1055_); trivial. % 1.12/1.27 apply (zenon_L1070_); trivial. % 1.12/1.27 (* end of lemma zenon_L1071_ *) % 1.12/1.27 assert (zenon_L1072_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp9))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H2b6 zenon_H2c zenon_H29 zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2d7 zenon_H14b zenon_H2e0 zenon_H28f zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hbc zenon_H27 zenon_H87 zenon_H1e3 zenon_H111 zenon_H168 zenon_H27e zenon_H196 zenon_Hd9 zenon_H29e. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.27 apply (zenon_L1071_); trivial. % 1.12/1.27 apply (zenon_L344_); trivial. % 1.12/1.27 (* end of lemma zenon_L1072_ *) % 1.12/1.27 assert (zenon_L1073_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc0 zenon_H14b zenon_Ha7 zenon_Hbc zenon_H27 zenon_H87 zenon_H318 zenon_H30d zenon_H30c zenon_H1e3 zenon_H31 zenon_H35 zenon_H37. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.27 apply (zenon_L20_); trivial. % 1.12/1.27 apply (zenon_L956_); trivial. % 1.12/1.27 (* end of lemma zenon_L1073_ *) % 1.12/1.27 assert (zenon_L1074_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (~(c0_1 (a907))) -> (c3_1 (a907)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc4 zenon_H256 zenon_H318 zenon_H30d zenon_H30c zenon_H1be zenon_H1c0 zenon_H1bf zenon_H1b5 zenon_H1b7 zenon_H209 zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H2aa zenon_H2ab zenon_H2ac zenon_H2e0 zenon_H16a. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L839_); trivial. % 1.12/1.27 apply (zenon_L1033_); trivial. % 1.12/1.27 (* end of lemma zenon_L1074_ *) % 1.12/1.27 assert (zenon_L1075_ : ((ndr1_0)/\((c3_1 (a908))/\((~(c0_1 (a908)))/\(~(c2_1 (a908)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> (c3_1 (a907)) -> (~(c0_1 (a907))) -> (c2_1 (a906)) -> (c3_1 (a906)) -> (~(c1_1 (a906))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a923))/\((c2_1 (a923))/\(~(c3_1 (a923))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp16)\/(hskp9))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H261 zenon_H29e zenon_H195 zenon_Hc0 zenon_H14b zenon_Ha7 zenon_H87 zenon_H1e3 zenon_H37 zenon_H91 zenon_H16b zenon_Hbe zenon_H16a zenon_H2e0 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H152 zenon_H209 zenon_H1b7 zenon_H1b5 zenon_H1bf zenon_H1c0 zenon_H1be zenon_Hc4 zenon_H22f zenon_H22b zenon_H21f zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_Hd9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.27 apply (zenon_L995_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_L1074_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1029_); trivial. % 1.12/1.27 apply (zenon_L1033_); trivial. % 1.12/1.27 (* end of lemma zenon_L1075_ *) % 1.12/1.27 assert (zenon_L1076_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hb zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H168 zenon_H111 zenon_H12 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L466_); trivial. % 1.12/1.27 apply (zenon_L1026_); trivial. % 1.12/1.27 (* end of lemma zenon_L1076_ *) % 1.12/1.27 assert (zenon_L1077_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hd6 zenon_H196 zenon_H21b zenon_H1 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H168 zenon_H30d zenon_H30c zenon_Ha0 zenon_H1d0. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_L966_); trivial. % 1.12/1.27 apply (zenon_L191_); trivial. % 1.12/1.27 (* end of lemma zenon_L1077_ *) % 1.12/1.27 assert (zenon_L1078_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a910)) -> (~(c2_1 (a910))) -> (~(c0_1 (a910))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp22)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hbe zenon_H139 zenon_H137 zenon_H128 zenon_H127 zenon_H126 zenon_H37 zenon_H35 zenon_H152 zenon_H150 zenon_Ha7 zenon_H87 zenon_H30c zenon_H30d zenon_H166 zenon_H168 zenon_H91 zenon_H16a zenon_Hc0. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.27 apply (zenon_L940_); trivial. % 1.12/1.27 apply (zenon_L88_); trivial. % 1.12/1.27 (* end of lemma zenon_L1078_ *) % 1.12/1.27 assert (zenon_L1079_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a910))) -> (~(c2_1 (a910))) -> (c1_1 (a910)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H115 zenon_H22d zenon_H16a zenon_H91 zenon_H168 zenon_H152 zenon_H126 zenon_H127 zenon_H128 zenon_H137 zenon_H139 zenon_H2a8 zenon_H196 zenon_Hc0 zenon_H265 zenon_H266 zenon_Ha7 zenon_H2bf zenon_H30d zenon_H318 zenon_H30c zenon_H12 zenon_H87 zenon_H8b zenon_Hbe zenon_H37 zenon_H1e3 zenon_H14b zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H195. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_L975_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1078_); trivial. % 1.12/1.27 apply (zenon_L43_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 apply (zenon_L976_); trivial. % 1.12/1.27 (* end of lemma zenon_L1079_ *) % 1.12/1.27 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp22)) -> (~(c2_1 (a950))) -> (c0_1 (a950)) -> (c3_1 (a950)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H16c zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H35 zenon_H79 zenon_H7b zenon_H7a zenon_H4d zenon_H4e zenon_H57 zenon_H91. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.12/1.27 apply (zenon_L129_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_L289_); trivial. % 1.12/1.27 apply (zenon_L228_); trivial. % 1.12/1.27 (* end of lemma zenon_L1080_ *) % 1.12/1.27 assert (zenon_L1081_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H93 zenon_H16a zenon_H2e0 zenon_H4d zenon_H4e zenon_H57 zenon_H91 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H35 zenon_H150 zenon_H152. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.12/1.27 apply (zenon_L102_); trivial. % 1.12/1.27 apply (zenon_L1080_); trivial. % 1.12/1.27 (* end of lemma zenon_L1081_ *) % 1.12/1.27 assert (zenon_L1082_ : ((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp18)) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H16c zenon_H2e0 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Hdd zenon_H168 zenon_H57 zenon_H4e zenon_H4d zenon_H166 zenon_H19b zenon_H19c zenon_H19d zenon_H23f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.12/1.27 apply (zenon_L129_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H19a | zenon_intro zenon_H240 ]. % 1.12/1.27 apply (zenon_L126_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_Hde ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H157 | zenon_intro zenon_H169 ]. % 1.12/1.27 apply (zenon_L730_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H56 | zenon_intro zenon_H167 ]. % 1.12/1.27 apply (zenon_L24_); trivial. % 1.12/1.27 exact (zenon_H166 zenon_H167). % 1.12/1.27 exact (zenon_Hdd zenon_Hde). % 1.12/1.27 apply (zenon_L228_); trivial. % 1.12/1.27 (* end of lemma zenon_L1082_ *) % 1.12/1.27 assert (zenon_L1083_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a912))) -> (~(c2_1 (a912))) -> (~(c3_1 (a912))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H16a zenon_H2e0 zenon_H19b zenon_H19c zenon_H19d zenon_H168 zenon_H166 zenon_H57 zenon_H4e zenon_H4d zenon_Hdd zenon_H23f zenon_H1ac zenon_H1ab zenon_H1aa zenon_H35 zenon_H150 zenon_H152. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.12/1.27 apply (zenon_L102_); trivial. % 1.12/1.27 apply (zenon_L1082_); trivial. % 1.12/1.27 (* end of lemma zenon_L1083_ *) % 1.12/1.27 assert (zenon_L1084_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(hskp21)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp18)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c3_1 (a912))) -> (~(c2_1 (a912))) -> (~(c1_1 (a912))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H23f zenon_Hdd zenon_H4d zenon_H4e zenon_H57 zenon_H166 zenon_H168 zenon_H19d zenon_H19c zenon_H19b zenon_H2e0 zenon_H16a. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_L1083_); trivial. % 1.12/1.27 apply (zenon_L43_); trivial. % 1.12/1.27 (* end of lemma zenon_L1084_ *) % 1.12/1.27 assert (zenon_L1085_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a913))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a898)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c0_1 (a900)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp1)) -> False). % 1.12/1.27 do 0 intro. intros zenon_Ha7 zenon_H57 zenon_H4e zenon_H4c zenon_H4d zenon_H166 zenon_H12 zenon_H30c zenon_H8d zenon_H30d zenon_H158 zenon_H159 zenon_H15a zenon_H168 zenon_H87. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 1.12/1.27 apply (zenon_L103_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H88 ]. % 1.12/1.27 apply (zenon_L936_); trivial. % 1.12/1.27 exact (zenon_H87 zenon_H88). % 1.12/1.27 (* end of lemma zenon_L1085_ *) % 1.12/1.27 assert (zenon_L1086_ : ((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a909))) -> (~(c1_1 (a909))) -> (~(c2_1 (a909))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a913))) -> (~(c3_1 (a913))) -> (c0_1 (a913)) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a914)) -> (~(c2_1 (a914))) -> (~(c1_1 (a914))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H10e zenon_Hc4 zenon_Ha2 zenon_Hb zenon_H152 zenon_H150 zenon_H1aa zenon_H1ab zenon_H1ac zenon_H1d0 zenon_Ha0 zenon_H4d zenon_H4e zenon_H57 zenon_H87 zenon_Ha7 zenon_H168 zenon_H166 zenon_Hee zenon_Hed zenon_Hf9 zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_H2e0 zenon_H16a. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H14e | zenon_intro zenon_H16c ]. % 1.12/1.27 apply (zenon_L102_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H12. zenon_intro zenon_H16d. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H15a. zenon_intro zenon_H16e. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H158. zenon_intro zenon_H159. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H2e1 ]. % 1.12/1.27 apply (zenon_L129_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H4c | zenon_intro zenon_H1e5 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.27 apply (zenon_L983_); trivial. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.27 apply (zenon_L1085_); trivial. % 1.12/1.27 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.27 apply (zenon_L228_); trivial. % 1.12/1.27 apply (zenon_L43_); trivial. % 1.12/1.27 (* end of lemma zenon_L1086_ *) % 1.12/1.27 assert (zenon_L1087_ : ((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1a6 zenon_H116 zenon_H111 zenon_H1d0 zenon_H256 zenon_H2e0 zenon_H23f zenon_H1ac zenon_H1ab zenon_H1aa zenon_H195 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H14b zenon_H1e3 zenon_H37 zenon_Hbe zenon_H8b zenon_H87 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_Ha7 zenon_H266 zenon_H265 zenon_Hc0 zenon_H196 zenon_H2a8 zenon_H123 zenon_H29 zenon_H152 zenon_H168 zenon_H91 zenon_H16a zenon_H22d zenon_H115. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.27 apply (zenon_L977_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_L975_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1084_); trivial. % 1.12/1.27 apply (zenon_L1086_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 apply (zenon_L976_); trivial. % 1.12/1.27 (* end of lemma zenon_L1087_ *) % 1.12/1.27 assert (zenon_L1088_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((hskp12)\/(hskp10))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> (~(c0_1 (a905))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/(hskp18))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1cb zenon_H29f zenon_H1c8 zenon_H111 zenon_H1d0 zenon_H256 zenon_H23f zenon_H123 zenon_H29 zenon_H139 zenon_H25 zenon_H266 zenon_H265 zenon_H264 zenon_H195 zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H14b zenon_H1e3 zenon_H37 zenon_Hbe zenon_H8b zenon_H87 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_Ha7 zenon_Hc0 zenon_H196 zenon_H2a8 zenon_H2e0 zenon_H152 zenon_H168 zenon_H91 zenon_H16a zenon_H22d zenon_H115 zenon_H116. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.27 apply (zenon_L282_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_L975_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.27 apply (zenon_L940_); trivial. % 1.12/1.27 apply (zenon_L1081_); trivial. % 1.12/1.27 apply (zenon_L43_); trivial. % 1.12/1.27 apply (zenon_L942_); trivial. % 1.12/1.27 apply (zenon_L976_); trivial. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.27 apply (zenon_L1079_); trivial. % 1.12/1.27 apply (zenon_L1087_); trivial. % 1.12/1.27 (* end of lemma zenon_L1088_ *) % 1.12/1.27 assert (zenon_L1089_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a910))/\((~(c0_1 (a910)))/\(~(c2_1 (a910))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a912)))/\((~(c2_1 (a912)))/\(~(c3_1 (a912))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a911))/\((c1_1 (a911))/\(c3_1 (a911)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(~(c1_1 X16))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/(hskp29))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H29f zenon_H1c8 zenon_H2ee zenon_Hd zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H75 zenon_H139 zenon_H60 zenon_H14c zenon_Hda zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_Hb zenon_H10c zenon_H111. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.27 apply (zenon_L1023_); trivial. % 1.12/1.27 apply (zenon_L73_); trivial. % 1.12/1.27 apply (zenon_L566_); trivial. % 1.12/1.27 (* end of lemma zenon_L1089_ *) % 1.12/1.27 assert (zenon_L1090_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H195 zenon_H111 zenon_H2e0 zenon_H62 zenon_H76 zenon_H1ac zenon_H1ab zenon_H1aa zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H8b zenon_H89 zenon_H87 zenon_H12 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_H1e3 zenon_H27 zenon_Hbc zenon_Ha7 zenon_H14b zenon_Hc0. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_L957_); trivial. % 1.12/1.27 apply (zenon_L1046_); trivial. % 1.12/1.27 (* end of lemma zenon_L1090_ *) % 1.12/1.27 assert (zenon_L1091_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp1)\/(hskp5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1cb zenon_H115 zenon_H102 zenon_Hfd zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H195 zenon_H111 zenon_H2e0 zenon_H76 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H8b zenon_H87 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_H1e3 zenon_H27 zenon_Hbc zenon_Ha7 zenon_H14b zenon_Hc0 zenon_H168 zenon_Hb zenon_H2a8 zenon_H196 zenon_Hd9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_L1090_); trivial. % 1.12/1.27 apply (zenon_L1026_); trivial. % 1.12/1.27 apply (zenon_L1038_); trivial. % 1.12/1.27 (* end of lemma zenon_L1091_ *) % 1.12/1.27 assert (zenon_L1092_ : ((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a914))/\((~(c1_1 (a914)))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a958)))/\((~(c1_1 (a958)))/\(~(c3_1 (a958))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a953))/\((c3_1 (a953))/\(~(c2_1 (a953))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp1)\/(hskp13))) -> (~(hskp1)) -> (~(c2_1 (a898))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((hskp26)\/(hskp17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X70 : zenon_U, ((ndr1_0)->((~(c1_1 X70))\/((~(c2_1 X70))\/(~(c3_1 X70))))))\/(hskp1))) -> (c3_1 (a905)) -> (c1_1 (a905)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.12/1.27 do 0 intro. intros zenon_H1cb zenon_H115 zenon_H102 zenon_Hfd zenon_H1 zenon_H7 zenon_H16b zenon_H134 zenon_H195 zenon_H111 zenon_H14b zenon_H2e0 zenon_H76 zenon_H1e3 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H27e zenon_H8b zenon_H87 zenon_H30c zenon_H318 zenon_H30d zenon_H2bf zenon_Ha7 zenon_H266 zenon_H265 zenon_Hc0 zenon_H168 zenon_Hb zenon_H2a8 zenon_H196 zenon_Hd9. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.27 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.27 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.27 apply (zenon_L973_); trivial. % 1.12/1.27 apply (zenon_L1046_); trivial. % 1.12/1.27 apply (zenon_L1026_); trivial. % 1.12/1.27 apply (zenon_L1038_); trivial. % 1.12/1.27 (* end of lemma zenon_L1092_ *) % 1.12/1.27 assert (zenon_L1093_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (~(c0_1 (a907))) -> (~(c1_1 (a907))) -> (c3_1 (a907)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd6 zenon_H2f2 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H318 zenon_H30d zenon_H30c zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H256 zenon_H2c7 zenon_H2c8 zenon_H2c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.12/1.28 apply (zenon_L550_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.12/1.28 apply (zenon_L1047_); trivial. % 1.12/1.28 apply (zenon_L426_); trivial. % 1.12/1.28 (* end of lemma zenon_L1093_ *) % 1.12/1.28 assert (zenon_L1094_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(c3_1 X11)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c2_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a905))) -> (c1_1 (a905)) -> (c3_1 (a905)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H2b3 zenon_Hd9 zenon_H2f2 zenon_H30c zenon_H30d zenon_H318 zenon_H256 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H264 zenon_H265 zenon_H266 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H28f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L1093_); trivial. % 1.12/1.28 (* end of lemma zenon_L1094_ *) % 1.12/1.28 assert (zenon_L1095_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hb zenon_H168 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H6e zenon_Hd zenon_H318 zenon_H30d zenon_H30c zenon_H76. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H44 | zenon_intro zenon_H6f ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H64 | zenon_intro zenon_He ]. % 1.12/1.28 apply (zenon_L1057_); trivial. % 1.12/1.28 exact (zenon_Hd zenon_He). % 1.12/1.28 exact (zenon_H62 zenon_H63). % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H44 | zenon_intro zenon_H6f ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H64 | zenon_intro zenon_He ]. % 1.12/1.28 apply (zenon_L1058_); trivial. % 1.12/1.28 exact (zenon_Hd zenon_He). % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 (* end of lemma zenon_L1095_ *) % 1.12/1.28 assert (zenon_L1096_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp22)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp14)) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hc1 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H35 zenon_H30c zenon_H30d zenon_H91 zenon_H62. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 1.12/1.28 apply (zenon_L21_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 1.12/1.28 apply (zenon_L935_); trivial. % 1.12/1.28 exact (zenon_H35 zenon_H36). % 1.12/1.28 exact (zenon_H62 zenon_H63). % 1.12/1.28 (* end of lemma zenon_L1096_ *) % 1.12/1.28 assert (zenon_L1097_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp23)) -> (~(hskp22)) -> ((hskp23)\/((hskp26)\/(hskp22))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hc0 zenon_H76 zenon_H62 zenon_H30c zenon_H30d zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H31 zenon_H35 zenon_H37. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.28 apply (zenon_L20_); trivial. % 1.12/1.28 apply (zenon_L1096_); trivial. % 1.12/1.28 (* end of lemma zenon_L1097_ *) % 1.12/1.28 assert (zenon_L1098_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_Hc0 zenon_H76 zenon_H62 zenon_H30c zenon_H30d zenon_H91 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H37 zenon_H21 zenon_H29 zenon_H123 zenon_Hbe. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L1097_); trivial. % 1.12/1.28 apply (zenon_L590_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 (* end of lemma zenon_L1098_ *) % 1.12/1.28 assert (zenon_L1099_ : ((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (~(hskp18)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(c1_1 (a918))) -> (c0_1 (a918)) -> (c3_1 (a918)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(hskp22)) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hc1 zenon_H91 zenon_H166 zenon_H30c zenon_H30d zenon_Hc8 zenon_Hca zenon_Hc9 zenon_H168 zenon_H35. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H39 | zenon_intro zenon_H92 ]. % 1.12/1.28 apply (zenon_L21_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H36 ]. % 1.12/1.28 apply (zenon_L965_); trivial. % 1.12/1.28 exact (zenon_H35 zenon_H36). % 1.12/1.28 (* end of lemma zenon_L1099_ *) % 1.12/1.28 assert (zenon_L1100_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H27e zenon_H57 zenon_H4e zenon_H4d zenon_H56 zenon_H318 zenon_H30d zenon_H30c zenon_H12 zenon_Hdd. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H4c | zenon_intro zenon_H27f ]. % 1.12/1.28 apply (zenon_L24_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1d9 | zenon_intro zenon_Hde ]. % 1.12/1.28 apply (zenon_L941_); trivial. % 1.12/1.28 exact (zenon_Hdd zenon_Hde). % 1.12/1.28 (* end of lemma zenon_L1100_ *) % 1.12/1.28 assert (zenon_L1101_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c0_1 (a913)) -> (~(c3_1 (a913))) -> (~(c1_1 (a913))) -> (~(hskp14)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H111 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H57 zenon_H4e zenon_H4d zenon_H62 zenon_H76. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.28 apply (zenon_L1100_); trivial. % 1.12/1.28 exact (zenon_H62 zenon_H63). % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 (* end of lemma zenon_L1101_ *) % 1.12/1.28 assert (zenon_L1102_ : ((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (~(c2_1 (a909))) -> (~(c1_1 (a909))) -> (~(c0_1 (a909))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H117 zenon_Hd9 zenon_H196 zenon_H2a8 zenon_H2e0 zenon_H91 zenon_H168 zenon_H1ac zenon_H1ab zenon_H1aa zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H76 zenon_H30c zenon_H30d zenon_H318 zenon_H27e zenon_H302 zenon_H2fa zenon_H2f9 zenon_H111. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1101_); trivial. % 1.12/1.28 apply (zenon_L1056_); trivial. % 1.12/1.28 (* end of lemma zenon_L1102_ *) % 1.12/1.28 assert (zenon_L1103_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (c0_1 (a898)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a898))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H30d zenon_H8d zenon_H30c zenon_H12 zenon_H62. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H44 | zenon_intro zenon_H77 ]. % 1.12/1.28 apply (zenon_L670_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H56 | zenon_intro zenon_H63 ]. % 1.12/1.28 apply (zenon_L935_); trivial. % 1.12/1.28 exact (zenon_H62 zenon_H63). % 1.12/1.28 (* end of lemma zenon_L1103_ *) % 1.12/1.28 assert (zenon_L1104_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (c3_1 (a907)) -> (~(c1_1 (a907))) -> (~(c0_1 (a907))) -> (~(hskp14)) -> (ndr1_0) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp4)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H1d0 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H62 zenon_H12 zenon_H30c zenon_H30d zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_Ha0. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.28 apply (zenon_L131_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.28 apply (zenon_L1103_); trivial. % 1.12/1.28 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.28 (* end of lemma zenon_L1104_ *) % 1.12/1.28 assert (zenon_L1105_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H2b3 zenon_Hd9 zenon_H196 zenon_H21b zenon_H1 zenon_H168 zenon_H76 zenon_H30d zenon_H30c zenon_H302 zenon_H2fa zenon_H2f9 zenon_Ha0 zenon_H1d0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1104_); trivial. % 1.12/1.28 apply (zenon_L1077_); trivial. % 1.12/1.28 (* end of lemma zenon_L1105_ *) % 1.12/1.28 assert (zenon_L1106_ : ((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp7)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp4)) -> False). % 1.12/1.28 do 0 intro. intros zenon_H93 zenon_H1d0 zenon_Hb zenon_H30c zenon_H30d zenon_H318 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H2a8 zenon_Ha0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.28 apply (zenon_L1010_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.28 apply (zenon_L37_); trivial. % 1.12/1.28 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.28 (* end of lemma zenon_L1106_ *) % 1.12/1.28 assert (zenon_L1107_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a906))) -> (c3_1 (a906)) -> (c2_1 (a906)) -> (c1_1 (a898)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H168 zenon_Hbe zenon_H1d0 zenon_Ha0 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H318 zenon_Hb zenon_H2a8 zenon_H37 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H91 zenon_H30d zenon_H30c zenon_H76 zenon_Hc0 zenon_Ha2 zenon_Hc4. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L1097_); trivial. % 1.12/1.28 apply (zenon_L1106_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.28 apply (zenon_L1010_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.28 apply (zenon_L965_); trivial. % 1.12/1.28 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 (* end of lemma zenon_L1107_ *) % 1.12/1.28 assert (zenon_L1108_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c3_1 (a904))) -> (c2_1 (a904)) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H111 zenon_H76 zenon_H62 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H30c zenon_H30d zenon_H318 zenon_H27e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L1023_); trivial. % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 (* end of lemma zenon_L1108_ *) % 1.12/1.28 assert (zenon_L1109_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a904)) -> (~(c3_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H2a8 zenon_Hb zenon_H168 zenon_H27e zenon_H318 zenon_H30d zenon_H30c zenon_H2ac zenon_H2ab zenon_H2aa zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H76 zenon_H111. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1108_); trivial. % 1.12/1.28 apply (zenon_L1026_); trivial. % 1.12/1.28 (* end of lemma zenon_L1109_ *) % 1.12/1.28 assert (zenon_L1110_ : ((ndr1_0)/\((c2_1 (a904))/\((~(c1_1 (a904)))/\(~(c3_1 (a904)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H32d zenon_H2b6 zenon_Hc4 zenon_H209 zenon_Hc0 zenon_H71 zenon_H256 zenon_H37 zenon_H182 zenon_H91 zenon_H16b zenon_Hbe zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H30c zenon_H30d zenon_H318 zenon_H27e zenon_H168 zenon_H2a8 zenon_H196 zenon_Hd9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1109_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1108_); trivial. % 1.12/1.28 apply (zenon_L1052_); trivial. % 1.12/1.28 (* end of lemma zenon_L1110_ *) % 1.12/1.28 assert (zenon_L1111_ : ((~(hskp4))\/((ndr1_0)/\((c2_1 (a904))/\((~(c1_1 (a904)))/\(~(c3_1 (a904))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((hskp12)\/(hskp6))) -> ((hskp23)\/((hskp26)\/(hskp22))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a969))/\((~(c1_1 (a969)))/\(~(c2_1 (a969))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a913))/\((~(c1_1 (a913)))/\(~(c3_1 (a913))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a909)))/\((~(c1_1 (a909)))/\(~(c2_1 (a909))))))) -> ((~(hskp6))\/((ndr1_0)/\((c2_1 (a906))/\((c3_1 (a906))/\(~(c1_1 (a906))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H330 zenon_H209 zenon_H71 zenon_H256 zenon_H182 zenon_H16b zenon_H2b6 zenon_H21b zenon_H1 zenon_H1d0 zenon_Hd9 zenon_H196 zenon_H2a8 zenon_H168 zenon_H12 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H6e zenon_H318 zenon_H30d zenon_H30c zenon_H76 zenon_Hbe zenon_H123 zenon_H37 zenon_H91 zenon_Hc0 zenon_Ha2 zenon_Hc4 zenon_H111 zenon_H27e zenon_H2e0 zenon_H116 zenon_H29e zenon_H325. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_L1095_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1098_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.28 apply (zenon_L20_); trivial. % 1.12/1.28 apply (zenon_L1099_); trivial. % 1.12/1.28 apply (zenon_L590_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 apply (zenon_L1102_); trivial. % 1.12/1.28 apply (zenon_L1105_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1107_); trivial. % 1.12/1.28 apply (zenon_L1105_); trivial. % 1.12/1.28 apply (zenon_L1110_); trivial. % 1.12/1.28 (* end of lemma zenon_L1111_ *) % 1.12/1.28 assert (zenon_L1112_ : ((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c1_1 (a921)) -> (c0_1 (a921)) -> (~(c3_1 (a921))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> (~(hskp14)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H192 zenon_H111 zenon_H76 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H1e3 zenon_H318 zenon_H30d zenon_H30c zenon_H1ed zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H62 zenon_H28f zenon_H14b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 1.12/1.28 apply (zenon_L943_); trivial. % 1.12/1.28 apply (zenon_L447_); trivial. % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 (* end of lemma zenon_L1112_ *) % 1.12/1.28 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> (c3_1 (a918)) -> (c0_1 (a918)) -> (~(c1_1 (a918))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hc5 zenon_H196 zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H1ed zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H91 zenon_H168 zenon_H111. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L701_); trivial. % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 (* end of lemma zenon_L1113_ *) % 1.12/1.28 assert (zenon_L1114_ : ((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a898)) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c0_1 (a899))) -> (c1_1 (a899)) -> (c2_1 (a899)) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd6 zenon_Hda zenon_H196 zenon_H2a8 zenon_H318 zenon_H30d zenon_H30c zenon_Hc4 zenon_Ha2 zenon_Hb zenon_Ha0 zenon_H1ed zenon_H91 zenon_H168 zenon_H111 zenon_H2f9 zenon_H2fa zenon_H302 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_L1113_); trivial. % 1.12/1.28 (* end of lemma zenon_L1114_ *) % 1.12/1.28 assert (zenon_L1115_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c0_1 X65))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp22))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> (c2_1 (a903)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((hskp28)\/((hskp22)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((hskp4)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a939))/\((~(c0_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp31))\/((ndr1_0)/\((c1_1 (a957))/\((c2_1 (a957))/\(c3_1 (a957)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp14))) -> (~(c2_1 (a898))) -> (c0_1 (a898)) -> (c1_1 (a898)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a928))/\((~(c2_1 (a928)))/\(~(c3_1 (a928))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> False). % 1.12/1.28 do 0 intro. intros zenon_Hd9 zenon_H196 zenon_H2a8 zenon_H91 zenon_H168 zenon_H2f4 zenon_H2c9 zenon_H2c8 zenon_H2c7 zenon_H302 zenon_H2fa zenon_H2f9 zenon_H12 zenon_H111 zenon_H76 zenon_H16a zenon_H1ed zenon_H152 zenon_Ha0 zenon_Hb zenon_Ha2 zenon_Hc4 zenon_H14b zenon_H28f zenon_H30c zenon_H30d zenon_H318 zenon_H1e3 zenon_H195 zenon_Hda. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L679_); trivial. % 1.12/1.28 apply (zenon_L1112_); trivial. % 1.12/1.28 apply (zenon_L1114_); trivial. % 1.12/1.28 (* end of lemma zenon_L1115_ *) % 1.12/1.28 assert (zenon_L1116_ : ((ndr1_0)/\((c3_1 (a907))/\((~(c0_1 (a907)))/\(~(c1_1 (a907)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a918))/\((c3_1 (a918))/\(~(c1_1 (a918))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a921))/\((c1_1 (a921))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a929))/\((c2_1 (a929))/\(~(c1_1 (a929))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a950))/\((c3_1 (a950))/\(~(c2_1 (a950))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c1_1 X4))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a938))/\((~(c2_1 (a938)))/\(~(c3_1 (a938))))))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (c2_1 (a903)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c3_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((~(c1_1 X49))\/(~(c2_1 X49))))))\/((forall X50 : zenon_U, ((ndr1_0)->((c2_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/(hskp14))) -> (c0_1 (a898)) -> (~(c2_1 (a898))) -> (c2_1 (a899)) -> (c1_1 (a899)) -> (~(c0_1 (a899))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp4))) -> False). % 1.12/1.28 do 0 intro. intros zenon_H2b3 zenon_Hd9 zenon_Hda zenon_H196 zenon_Hbe zenon_H219 zenon_H1ed zenon_H168 zenon_H111 zenon_H2c7 zenon_H2c8 zenon_H2c9 zenon_H2f4 zenon_H76 zenon_H30d zenon_H30c zenon_H302 zenon_H2fa zenon_H2f9 zenon_Ha0 zenon_H1d0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L1104_); trivial. % 1.12/1.28 apply (zenon_L902_); trivial. % 1.12/1.28 (* end of lemma zenon_L1116_ *) % 1.12/1.28 apply NNPP. intro zenon_G. % 1.12/1.28 apply zenon_G. zenon_intro zenon_H331. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H335. zenon_intro zenon_H334. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H337. zenon_intro zenon_H336. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H339. zenon_intro zenon_H338. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H330. zenon_intro zenon_H33a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33c. zenon_intro zenon_H33b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H325. zenon_intro zenon_H33d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H2b6. zenon_intro zenon_H33e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H2be. zenon_intro zenon_H33f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H29e. zenon_intro zenon_H340. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H29f. zenon_intro zenon_H341. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H1c8. zenon_intro zenon_H342. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H116. zenon_intro zenon_H343. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H115. zenon_intro zenon_H344. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Hd9. zenon_intro zenon_H345. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_Hda. zenon_intro zenon_H346. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H22f. zenon_intro zenon_H347. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H195. zenon_intro zenon_H348. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H196. zenon_intro zenon_H349. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H20f. zenon_intro zenon_H34c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H111. zenon_intro zenon_H34d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Hc4. zenon_intro zenon_H34e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_Hbe. zenon_intro zenon_H34f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H134. zenon_intro zenon_H350. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H102. zenon_intro zenon_H351. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_Hc0. zenon_intro zenon_H352. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Hbf. zenon_intro zenon_H353. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H16a. zenon_intro zenon_H354. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H75. zenon_intro zenon_H355. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H357. zenon_intro zenon_H356. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H14b. zenon_intro zenon_H358. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H2e0. zenon_intro zenon_H359. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1b3. zenon_intro zenon_H35a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Hfd. zenon_intro zenon_H35b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H238. zenon_intro zenon_H35c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_Hba. zenon_intro zenon_H35d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H21b. zenon_intro zenon_H35e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H1d0. zenon_intro zenon_H35f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H2c. zenon_intro zenon_H360. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H2f0. zenon_intro zenon_H361. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H2ee. zenon_intro zenon_H362. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H2f2. zenon_intro zenon_H363. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a4. zenon_intro zenon_H364. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H24d. zenon_intro zenon_H365. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H14c. zenon_intro zenon_H366. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H139. zenon_intro zenon_H367. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H12f. zenon_intro zenon_H368. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H16b. zenon_intro zenon_H369. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H256. zenon_intro zenon_H36a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H20d. zenon_intro zenon_H36b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H213. zenon_intro zenon_H36c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H36e. zenon_intro zenon_H36d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H22b. zenon_intro zenon_H36f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H371. zenon_intro zenon_H370. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H1d1. zenon_intro zenon_H372. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H21f. zenon_intro zenon_H373. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H209. zenon_intro zenon_H374. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_Ha2. zenon_intro zenon_H375. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H2db. zenon_intro zenon_H376. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H76. zenon_intro zenon_H379. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H2f4. zenon_intro zenon_H37a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H6e. zenon_intro zenon_H37b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H28f. zenon_intro zenon_H37c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H25. zenon_intro zenon_H37d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H285. zenon_intro zenon_H37e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H2d9. zenon_intro zenon_H37f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H23f. zenon_intro zenon_H380. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H71. zenon_intro zenon_H381. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H91. zenon_intro zenon_H382. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_Ha7. zenon_intro zenon_H383. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H385. zenon_intro zenon_H384. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H22d. zenon_intro zenon_H386. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H388. zenon_intro zenon_H387. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H27e. zenon_intro zenon_H389. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H60. zenon_intro zenon_H38a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H182. zenon_intro zenon_H38b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H2a8. zenon_intro zenon_H38c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H219. zenon_intro zenon_H38d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H168. zenon_intro zenon_H38e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H245. zenon_intro zenon_H38f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H1ce. zenon_intro zenon_H390. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H10c. zenon_intro zenon_H391. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H1e3. zenon_intro zenon_H392. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H191. zenon_intro zenon_H393. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H1df. zenon_intro zenon_H394. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H27c. zenon_intro zenon_H395. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_Hbc. zenon_intro zenon_H396. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H123. zenon_intro zenon_H397. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H8b. zenon_intro zenon_H398. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H1ed. zenon_intro zenon_H399. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H2bf. zenon_intro zenon_H39a. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H2d7. zenon_intro zenon_H39b. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H39d. zenon_intro zenon_H39c. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H251. zenon_intro zenon_H39e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H13d. zenon_intro zenon_H39f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H3a1. zenon_intro zenon_H3a0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_Hdf. zenon_intro zenon_H3a2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H3a4. zenon_intro zenon_H3a3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H152. zenon_intro zenon_H3a5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H7. zenon_intro zenon_H3a6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_H37. zenon_intro zenon_Hf. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H333); [ zenon_intro zenon_Hdb | zenon_intro zenon_H3a7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H87 | zenon_intro zenon_H3a8 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H236 | zenon_intro zenon_H3a9 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L77_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L124_); trivial. % 1.12/1.28 apply (zenon_L128_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_L130_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_L132_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L138_); trivial. % 1.12/1.28 apply (zenon_L141_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L207_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L224_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_L233_); trivial. % 1.12/1.28 apply (zenon_L244_); trivial. % 1.12/1.28 apply (zenon_L245_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_L259_); trivial. % 1.12/1.28 apply (zenon_L266_); trivial. % 1.12/1.28 apply (zenon_L206_); trivial. % 1.12/1.28 apply (zenon_L268_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L275_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L269_); trivial. % 1.12/1.28 apply (zenon_L268_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L303_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L304_); trivial. % 1.12/1.28 apply (zenon_L128_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_L307_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L287_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_Heb | zenon_intro zenon_H22c ]. % 1.12/1.28 apply (zenon_L306_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H221 | zenon_intro zenon_H63 ]. % 1.12/1.28 apply (zenon_L197_); trivial. % 1.12/1.28 exact (zenon_H62 zenon_H63). % 1.12/1.28 apply (zenon_L244_); trivial. % 1.12/1.28 apply (zenon_L312_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_L307_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.12/1.28 apply (zenon_L270_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H12. zenon_intro zenon_H2d. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H16. zenon_intro zenon_H14. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H125 | zenon_intro zenon_H1a5 ]. % 1.12/1.28 apply (zenon_L80_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H197 | zenon_intro zenon_H19a ]. % 1.12/1.28 apply (zenon_L125_); trivial. % 1.12/1.28 apply (zenon_L316_); trivial. % 1.12/1.28 apply (zenon_L95_); trivial. % 1.12/1.28 apply (zenon_L98_); trivial. % 1.12/1.28 apply (zenon_L312_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 apply (zenon_L318_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L326_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L332_); trivial. % 1.12/1.28 apply (zenon_L141_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L337_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 apply (zenon_L336_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L326_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_L345_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L343_); trivial. % 1.12/1.28 apply (zenon_L374_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L389_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L416_); trivial. % 1.12/1.28 apply (zenon_L388_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L425_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L77_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.28 apply (zenon_L20_); trivial. % 1.12/1.28 apply (zenon_L434_); trivial. % 1.12/1.28 apply (zenon_L47_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_L435_); trivial. % 1.12/1.28 apply (zenon_L444_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L138_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L140_); trivial. % 1.12/1.28 apply (zenon_L444_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_L446_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L188_); trivial. % 1.12/1.28 apply (zenon_L265_); trivial. % 1.12/1.28 apply (zenon_L245_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L224_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_L453_); trivial. % 1.12/1.28 apply (zenon_L454_); trivial. % 1.12/1.28 apply (zenon_L245_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L145_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1dd | zenon_intro zenon_H210 ]. % 1.12/1.28 apply (zenon_L436_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H12. zenon_intro zenon_H211. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H1fd. zenon_intro zenon_H212. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H204. zenon_intro zenon_H1fc. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L455_); trivial. % 1.12/1.28 apply (zenon_L445_); trivial. % 1.12/1.28 apply (zenon_L458_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L145_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L459_); trivial. % 1.12/1.28 apply (zenon_L187_); trivial. % 1.12/1.28 apply (zenon_L265_); trivial. % 1.12/1.28 apply (zenon_L462_); trivial. % 1.12/1.28 apply (zenon_L465_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L275_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_L462_); trivial. % 1.12/1.28 apply (zenon_L465_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L288_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L468_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_L470_); trivial. % 1.12/1.28 apply (zenon_L474_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L56_); trivial. % 1.12/1.28 apply (zenon_L273_); trivial. % 1.12/1.28 apply (zenon_L181_); trivial. % 1.12/1.28 apply (zenon_L187_); trivial. % 1.12/1.28 apply (zenon_L334_); trivial. % 1.12/1.28 apply (zenon_L475_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L476_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L274_); trivial. % 1.12/1.28 apply (zenon_L475_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L480_); trivial. % 1.12/1.28 apply (zenon_L481_); trivial. % 1.12/1.28 apply (zenon_L486_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_L345_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L493_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L386_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L342_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L439_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L491_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L136_); trivial. % 1.12/1.28 apply (zenon_L354_); trivial. % 1.12/1.28 apply (zenon_L500_); trivial. % 1.12/1.28 apply (zenon_L501_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L503_); trivial. % 1.12/1.28 apply (zenon_L355_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L504_); trivial. % 1.12/1.28 apply (zenon_L509_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L512_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L491_); trivial. % 1.12/1.28 apply (zenon_L355_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L491_); trivial. % 1.12/1.28 apply (zenon_L509_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L518_); trivial. % 1.12/1.28 apply (zenon_L521_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L512_); trivial. % 1.12/1.28 apply (zenon_L521_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L523_); trivial. % 1.12/1.28 apply (zenon_L458_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L439_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L459_); trivial. % 1.12/1.28 apply (zenon_L526_); trivial. % 1.12/1.28 apply (zenon_L533_); trivial. % 1.12/1.28 apply (zenon_L536_); trivial. % 1.12/1.28 apply (zenon_L544_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L386_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_L536_); trivial. % 1.12/1.28 apply (zenon_L544_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L373_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L379_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L545_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_L385_); trivial. % 1.12/1.28 apply (zenon_L388_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L379_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L545_); trivial. % 1.12/1.28 apply (zenon_L181_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L409_); trivial. % 1.12/1.28 apply (zenon_L295_); trivial. % 1.12/1.28 apply (zenon_L390_); trivial. % 1.12/1.28 apply (zenon_L547_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L549_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L548_); trivial. % 1.12/1.28 apply (zenon_L547_); trivial. % 1.12/1.28 apply (zenon_L302_); trivial. % 1.12/1.28 apply (zenon_L415_); trivial. % 1.12/1.28 apply (zenon_L388_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_H12. zenon_intro zenon_H3b0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H2e5. zenon_intro zenon_H3b1. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H2e6. zenon_intro zenon_H2e7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L77_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L124_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L138_); trivial. % 1.12/1.28 apply (zenon_L552_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L207_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L145_); trivial. % 1.12/1.28 apply (zenon_L554_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L555_); trivial. % 1.12/1.28 apply (zenon_L557_); trivial. % 1.12/1.28 apply (zenon_L191_); trivial. % 1.12/1.28 apply (zenon_L206_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_L558_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L225_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L139_); trivial. % 1.12/1.28 apply (zenon_L553_); trivial. % 1.12/1.28 apply (zenon_L558_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L303_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L304_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_L307_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L287_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.12/1.28 apply (zenon_L61_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.12/1.28 apply (zenon_L62_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.12/1.28 apply (zenon_L306_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.12/1.28 apply (zenon_L550_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.12/1.28 apply (zenon_L163_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Heb | zenon_intro zenon_H16f ]. % 1.12/1.28 apply (zenon_L306_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4c | zenon_intro zenon_H78 ]. % 1.12/1.28 apply (zenon_L559_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Heb | zenon_intro zenon_H214 ]. % 1.12/1.28 apply (zenon_L306_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Ha1 ]. % 1.12/1.28 apply (zenon_L560_); trivial. % 1.12/1.28 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.28 apply (zenon_L309_); trivial. % 1.12/1.28 apply (zenon_L244_); trivial. % 1.12/1.28 apply (zenon_L312_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_L307_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L287_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H5 | zenon_intro zenon_Hff ]. % 1.12/1.28 apply (zenon_L61_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_H12. zenon_intro zenon_H100. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_He2. zenon_intro zenon_H101. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_He3. zenon_intro zenon_He4. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_He1 | zenon_intro zenon_Hfe ]. % 1.12/1.28 apply (zenon_L62_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Heb | zenon_intro zenon_Hf8 ]. % 1.12/1.28 apply (zenon_L306_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f3 ]. % 1.12/1.28 apply (zenon_L550_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H43 | zenon_intro zenon_H287 ]. % 1.12/1.28 apply (zenon_L163_); trivial. % 1.12/1.28 apply (zenon_L561_); trivial. % 1.12/1.28 apply (zenon_L95_); trivial. % 1.12/1.28 apply (zenon_L309_); trivial. % 1.12/1.28 apply (zenon_L564_); trivial. % 1.12/1.28 apply (zenon_L312_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L326_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L332_); trivial. % 1.12/1.28 apply (zenon_L552_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L337_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L313_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L565_); trivial. % 1.12/1.28 apply (zenon_L312_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L326_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L493_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L570_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L573_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H12. zenon_intro zenon_Ha5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H99. zenon_intro zenon_Ha6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H97. zenon_intro zenon_H98. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.12/1.28 apply (zenon_L578_); trivial. % 1.12/1.28 apply (zenon_L579_); trivial. % 1.12/1.28 apply (zenon_L340_); trivial. % 1.12/1.28 apply (zenon_L47_); trivial. % 1.12/1.28 apply (zenon_L581_); trivial. % 1.12/1.28 apply (zenon_L582_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L373_); trivial. % 1.12/1.28 apply (zenon_L374_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L389_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L416_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L425_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H33 | zenon_intro zenon_Hc1 ]. % 1.12/1.28 apply (zenon_L20_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H12. zenon_intro zenon_Hc2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H3c. zenon_intro zenon_Hc3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.12/1.28 apply (zenon_L431_); trivial. % 1.12/1.28 apply (zenon_L16_); trivial. % 1.12/1.28 apply (zenon_L47_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5c | zenon_intro zenon_H70 ]. % 1.12/1.28 apply (zenon_L210_); trivial. % 1.12/1.28 apply (zenon_L430_); trivial. % 1.12/1.28 apply (zenon_L433_); trivial. % 1.12/1.28 apply (zenon_L47_); trivial. % 1.12/1.28 apply (zenon_L585_); trivial. % 1.12/1.28 apply (zenon_L587_); trivial. % 1.12/1.28 apply (zenon_L75_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L595_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L142_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L587_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L599_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L471_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L610_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_L613_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L476_); trivial. % 1.12/1.28 apply (zenon_L613_); trivial. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L503_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L297_); trivial. % 1.12/1.28 apply (zenon_L529_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_L584_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L586_); trivial. % 1.12/1.28 apply (zenon_L616_); trivial. % 1.12/1.28 apply (zenon_L181_); trivial. % 1.12/1.28 apply (zenon_L617_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L531_); trivial. % 1.12/1.28 apply (zenon_L619_); trivial. % 1.12/1.28 apply (zenon_L582_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L653_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L586_); trivial. % 1.12/1.28 apply (zenon_L378_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L654_); trivial. % 1.12/1.28 apply (zenon_L378_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_L415_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L655_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L657_); trivial. % 1.12/1.28 apply (zenon_L663_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L657_); trivial. % 1.12/1.28 apply (zenon_L302_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L323_); trivial. % 1.12/1.28 apply (zenon_L666_); trivial. % 1.12/1.28 apply (zenon_L566_); trivial. % 1.12/1.28 apply (zenon_L668_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H12. zenon_intro zenon_H3b2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H2fa. zenon_intro zenon_H3b3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H302. zenon_intro zenon_H2f9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L693_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L700_); trivial. % 1.12/1.28 apply (zenon_L703_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L704_); trivial. % 1.12/1.28 apply (zenon_L703_); trivial. % 1.12/1.28 apply (zenon_L716_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L746_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L761_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L764_); trivial. % 1.12/1.28 apply (zenon_L760_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L765_); trivial. % 1.12/1.28 apply (zenon_L760_); trivial. % 1.12/1.28 apply (zenon_L772_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L773_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L775_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L781_); trivial. % 1.12/1.28 apply (zenon_L703_); trivial. % 1.12/1.28 apply (zenon_L783_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L792_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L793_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L781_); trivial. % 1.12/1.28 apply (zenon_L791_); trivial. % 1.12/1.28 apply (zenon_L800_); trivial. % 1.12/1.28 apply (zenon_L804_); trivial. % 1.12/1.28 apply (zenon_L809_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L825_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L810_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L827_); trivial. % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 apply (zenon_L829_); trivial. % 1.12/1.28 apply (zenon_L833_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L678_); trivial. % 1.12/1.28 apply (zenon_L836_); trivial. % 1.12/1.28 apply (zenon_L833_); trivial. % 1.12/1.28 apply (zenon_L852_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L855_); trivial. % 1.12/1.28 apply (zenon_L833_); trivial. % 1.12/1.28 apply (zenon_L861_); trivial. % 1.12/1.28 apply (zenon_L876_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L880_); trivial. % 1.12/1.28 apply (zenon_L388_); trivial. % 1.12/1.28 apply (zenon_L883_); trivial. % 1.12/1.28 apply (zenon_L890_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L893_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L898_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L899_); trivial. % 1.12/1.28 apply (zenon_L702_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L893_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L900_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L898_); trivial. % 1.12/1.28 apply (zenon_L715_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_L718_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L673_); trivial. % 1.12/1.28 apply (zenon_L892_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L592_); trivial. % 1.12/1.28 apply (zenon_L538_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 apply (zenon_L892_); trivial. % 1.12/1.28 apply (zenon_L710_); trivial. % 1.12/1.28 apply (zenon_L735_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L900_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L679_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L592_); trivial. % 1.12/1.28 apply (zenon_L741_); trivial. % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_L671_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_L901_); trivial. % 1.12/1.28 apply (zenon_L728_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L904_); trivial. % 1.12/1.28 apply (zenon_L905_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L906_); trivial. % 1.12/1.28 apply (zenon_L905_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L907_); trivial. % 1.12/1.28 apply (zenon_L905_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L904_); trivial. % 1.12/1.28 apply (zenon_L908_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L906_); trivial. % 1.12/1.28 apply (zenon_L908_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L900_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L907_); trivial. % 1.12/1.28 apply (zenon_L799_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L773_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L900_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L781_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L702_); trivial. % 1.12/1.28 apply (zenon_L912_); trivial. % 1.12/1.28 apply (zenon_L913_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L825_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L386_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L914_); trivial. % 1.12/1.28 apply (zenon_L915_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L842_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L386_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L918_); trivial. % 1.12/1.28 apply (zenon_L851_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_L825_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L386_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19b. zenon_intro zenon_H1a8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H19c. zenon_intro zenon_H19d. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L81_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L914_); trivial. % 1.12/1.28 apply (zenon_L921_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L922_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L810_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L439_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H12. zenon_intro zenon_H193. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L821_); trivial. % 1.12/1.28 apply (zenon_L919_); trivial. % 1.12/1.28 apply (zenon_L861_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L810_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21d | zenon_intro zenon_H230 ]. % 1.12/1.28 apply (zenon_L863_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H12. zenon_intro zenon_H231. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H223. zenon_intro zenon_H232. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H224. zenon_intro zenon_H222. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L864_); trivial. % 1.12/1.28 apply (zenon_L862_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L924_); trivial. % 1.12/1.28 apply (zenon_L862_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L871_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L925_); trivial. % 1.12/1.28 apply (zenon_L926_); trivial. % 1.12/1.28 apply (zenon_L373_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L927_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L414_); trivial. % 1.12/1.28 apply (zenon_L929_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H5e | zenon_intro zenon_Hc5 ]. % 1.12/1.28 apply (zenon_L891_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_H12. zenon_intro zenon_Hc6. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb2. zenon_intro zenon_Hc7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hb3. zenon_intro zenon_Hb1. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L414_); trivial. % 1.12/1.28 apply (zenon_L926_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H12. zenon_intro zenon_H262. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H258. zenon_intro zenon_H259. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L932_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H12. zenon_intro zenon_H1cc. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1aa. zenon_intro zenon_H1cd. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L933_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_H12. zenon_intro zenon_Hd7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L323_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_L606_); trivial. % 1.12/1.28 apply (zenon_L423_); trivial. % 1.12/1.28 apply (zenon_L889_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_H12. zenon_intro zenon_H3b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b4). zenon_intro zenon_H30d. zenon_intro zenon_H3b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H318. zenon_intro zenon_H30c. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H335); [ zenon_intro zenon_H87 | zenon_intro zenon_H3a8 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_H236 | zenon_intro zenon_H3a9 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_L972_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L977_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L975_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L981_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L940_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H12. zenon_intro zenon_H94. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H7b. zenon_intro zenon_H95. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H15 | zenon_intro zenon_H1d2 ]. % 1.12/1.28 apply (zenon_L983_); trivial. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha1 ]. % 1.12/1.28 apply (zenon_L37_); trivial. % 1.12/1.28 exact (zenon_Ha0 zenon_Ha1). % 1.12/1.28 apply (zenon_L43_); trivial. % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 apply (zenon_L976_); trivial. % 1.12/1.28 apply (zenon_L1009_); trivial. % 1.12/1.28 apply (zenon_L1022_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L957_); trivial. % 1.12/1.28 apply (zenon_L1024_); trivial. % 1.12/1.28 apply (zenon_L1026_); trivial. % 1.12/1.28 apply (zenon_L1028_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_L1037_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L973_); trivial. % 1.12/1.28 apply (zenon_L1024_); trivial. % 1.12/1.28 apply (zenon_L1026_); trivial. % 1.12/1.28 apply (zenon_L1038_); trivial. % 1.12/1.28 apply (zenon_L1054_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_L972_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1065_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L989_); trivial. % 1.12/1.28 apply (zenon_L1066_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L1017_); trivial. % 1.12/1.28 apply (zenon_L1066_); trivial. % 1.12/1.28 apply (zenon_L1068_); trivial. % 1.12/1.28 apply (zenon_L1069_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_L1072_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H12. zenon_intro zenon_H2f7. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1bf. zenon_intro zenon_H2f8. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1c0. zenon_intro zenon_H1be. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1071_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_L957_); trivial. % 1.12/1.28 apply (zenon_L1041_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_L1027_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17a. zenon_intro zenon_H186. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17b. zenon_intro zenon_H179. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L1023_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H105. zenon_intro zenon_H110. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H103. zenon_intro zenon_H104. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H35 | zenon_intro zenon_Ha4 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H31 | zenon_intro zenon_H93 ]. % 1.12/1.28 apply (zenon_L1073_); trivial. % 1.12/1.28 apply (zenon_L507_); trivial. % 1.12/1.28 apply (zenon_L1033_); trivial. % 1.12/1.28 apply (zenon_L1075_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1076_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L466_); trivial. % 1.12/1.28 apply (zenon_L1052_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_H12. zenon_intro zenon_H3b0. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H2e5. zenon_intro zenon_H3b1. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b1). zenon_intro zenon_H2e6. zenon_intro zenon_H2e7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L948_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H12. zenon_intro zenon_H2b4. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1b7. zenon_intro zenon_H2b5. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1b5. zenon_intro zenon_H1b6. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H20b | zenon_intro zenon_H261 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H62 | zenon_intro zenon_Hd6 ]. % 1.12/1.28 apply (zenon_L964_); trivial. % 1.12/1.28 apply (zenon_L1077_); trivial. % 1.12/1.28 apply (zenon_L992_); trivial. % 1.12/1.28 apply (zenon_L280_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H23 | zenon_intro zenon_H1c7 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H21 | zenon_intro zenon_H117 ]. % 1.12/1.28 apply (zenon_L282_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H12. zenon_intro zenon_H118. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H57. zenon_intro zenon_H119. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H4d. zenon_intro zenon_H4e. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H89 | zenon_intro zenon_H112 ]. % 1.12/1.28 apply (zenon_L975_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H12. zenon_intro zenon_H113. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hee. zenon_intro zenon_H114. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hf9. zenon_intro zenon_Hed. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H150 | zenon_intro zenon_H192 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H166 | zenon_intro zenon_H184 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hdd | zenon_intro zenon_H10e ]. % 1.12/1.28 apply (zenon_L981_); trivial. % 1.12/1.28 apply (zenon_L73_); trivial. % 1.12/1.28 apply (zenon_L942_); trivial. % 1.12/1.28 apply (zenon_L976_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H12. zenon_intro zenon_H1c9. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H128. zenon_intro zenon_H1ca. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H126. zenon_intro zenon_H127. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H137 | zenon_intro zenon_H1a6 ]. % 1.12/1.28 apply (zenon_L1079_); trivial. % 1.12/1.28 apply (zenon_L551_); trivial. % 1.12/1.28 apply (zenon_L1088_); trivial. % 1.12/1.28 apply (zenon_L1009_); trivial. % 1.12/1.28 apply (zenon_L1022_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_L1089_); trivial. % 1.12/1.28 apply (zenon_L1091_); trivial. % 1.12/1.28 apply (zenon_L344_); trivial. % 1.12/1.28 apply (zenon_L1037_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hd | zenon_intro zenon_H1cb ]. % 1.12/1.28 apply (zenon_L1089_); trivial. % 1.12/1.28 apply (zenon_L1092_); trivial. % 1.12/1.28 apply (zenon_L1054_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_L949_); trivial. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1065_); trivial. % 1.12/1.28 apply (zenon_L1094_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H12. zenon_intro zenon_H32e. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ac. zenon_intro zenon_H32f. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H27 | zenon_intro zenon_H3ab ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H29 | zenon_intro zenon_H2f6 ]. % 1.12/1.28 apply (zenon_L1072_); trivial. % 1.12/1.28 apply (zenon_L596_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H12. zenon_intro zenon_H3ac. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H265. zenon_intro zenon_H3ad. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ad). zenon_intro zenon_H266. zenon_intro zenon_H264. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1076_); trivial. % 1.12/1.28 apply (zenon_L1094_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H12. zenon_intro zenon_H3b2. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H2fa. zenon_intro zenon_H3b3. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H302. zenon_intro zenon_H2f9. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H1 | zenon_intro zenon_H3aa ]. % 1.12/1.28 apply (zenon_L1111_); trivial. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H12. zenon_intro zenon_H3ae. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H2c8. zenon_intro zenon_H3af. % 1.12/1.28 apply (zenon_and_s _ _ zenon_H3af). zenon_intro zenon_H2c9. zenon_intro zenon_H2c7. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H32d ]. % 1.12/1.28 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_Hb | zenon_intro zenon_H2b3 ]. % 1.12/1.28 apply (zenon_L1115_); trivial. % 1.12/1.28 apply (zenon_L1116_); trivial. % 1.12/1.28 apply (zenon_L1110_); trivial. % 1.12/1.28 Qed. % 1.12/1.28 % SZS output end Proof % 1.12/1.28 (* END-PROOF *) % 1.12/1.28 nodes searched: 48606 % 1.12/1.28 max branch formulas: 521 % 1.12/1.28 proof nodes created: 7457 % 1.12/1.28 formulas created: 46313 % 1.12/1.28 %------------------------------------------------------------------------------